Relevant bibliographies by topics / Applied theory of oscillations

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Applied theory of oscillations'

Author: Grafiati
Published: 30 May 2022
Last updated: 31 May 2022

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Journal articles on the topic "Applied theory of oscillations"

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PHILLIPSON, PAUL E., and PETER SCHUSTER. "DYNAMICS OF RELAXATION OSCILLATIONS." International Journal of Bifurcation and Chaos 11, no. 05 (May 2001): 1471–82. http://dx.doi.org/10.1142/s0218127401002845.

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Relaxation oscillations are characteristic of periodic processes consisting of segments which differ greatly in time: a long-time span when the system is moving slowly and a relatively short time span when the system is moving rapidly. The period of oscillation, the sum of these contributions, is usually treated by singular perturbation theory which starts from the premise that the long span is asymptotically extended and the short span shrinks asymptotically to a single instant. Application of the theory involves the analysis of adjacent dynamical regions and multiple time scales. The relaxation oscillations of the Stoker–Haag piecewise-linear discontinuous equation and the van der Pol equation are investigated using a simpler analytical method requiring only the connection at a point of the two dynamical fast and slow regions. Compared to the results of singular perturbation theory, the quantitative results of the present method are more accurate in the Stoker–Haag case and marginally less accurate in the van der Pol case. The relative simplicity of the formulation suggests extension to three-dimensional systems where relaxation oscillations can become unstable leading to bistability, multiple periodicity and chaos.
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Zevin, A. A. "The theory of parametric oscillations." Journal of Applied Mathematics and Mechanics 78, no. 1 (2014): 30–38. http://dx.doi.org/10.1016/j.jappmathmech.2014.05.004.

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Gredelj, Sanel. "The Methodology of Distinguish Between Random and Chaotic Machine Tool Oscillations." IOP Conference Series: Materials Science and Engineering 1208, no. 1 (November 1, 2021): 012009. http://dx.doi.org/10.1088/1757-899x/1208/1/012009.

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Abstract Machine tool oscillations are irregular or aperiodic. Most often, these oscillations are chaotic but, in some cases, they can be quasi-periodic or random. The methodology for characterizing oscillations in the first of two steps uses the nonparametric hypothesis tests which the observed oscillations confirmed as irregular. The methodology for the final characterization of oscillations is based on chaos quantifiers. A time series defined as the measured values of oscillations in the time domain is the basis for calculating the quantifiers of chaos. There are four quantifiers of chaos: the Lyapunov exponent, Kolmogorov entropy, fractal dimension and correlation dimension. The correlation dimension and Kolmogorov entropy are important for distinguishing between random and chaotic oscillations. Other quantifiers of chaos are not used for this purpose. The methodology requires a multidisciplinary approach based on combining Nonlinear Dynamics and Probability Theory and Statistics. The methodology can be applied to many oscillating phenomena. Therefore, the paper mainly used the term oscillations, not vibrations, chatter, etc.
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PHILLIPSON, PAUL E., and PETER SCHUSTER. "AN ANALYTIC PICTURE OF NEURON OSCILLATIONS." International Journal of Bifurcation and Chaos 14, no. 05 (May 2004): 1539–48. http://dx.doi.org/10.1142/s0218127404010151.

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Current induced oscillations of a space clamped neuron action potential demonstrates a bifurcation scenario originally encapsulated by the four-dimensional Hodgkin–Huxley equations. These oscillations were subsequently described by the two-dimensional FitzHugh–Nagumo Equations in close agreement with the Hodgkin–Huxley theory. It is shown that the FitzHugh–Nagumo equations can to close approximation be reduced to a generalized van der Pol oscillator externally driven by the current. The current functions as an external constant force driving the action potential. As a consequence approximate analytic expressions are derived which predict the bifurcation scenario, the amplitudes of the oscillations and the oscillation periods in terms of the current and the physiological constants of the FitzHugh–Nagumo model. A second reduction permits explicit analytic solution and results in a spiking model which can be multiply coupled and extended to include the dynamics of phase locking, entrainment and chaos characteristic of time-dependent synaptic inputs.
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CHANG, YU, LILI ZHOU, and JINLIANG WANG. "HOPF BIFURCATION IN A CALCIUM OSCILLATION MODEL AND ITS CONTROL: FREQUENCY DOMAIN APPROACH." International Journal of Bifurcation and Chaos 23, no. 01 (January 2013): 1350012. http://dx.doi.org/10.1142/s0218127413500120.

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The Hopf bifurcation in a calcium oscillation model is theoretically analyzed by Hopf bifurcation theory in frequency domain. Approximation expressions for frequencies and amplitudes of periodic orbits arising from Hopf bifurcation are provided by using second-order harmonic balance method. In addition, a new method is proposed to control the amplitudes of the periodic orbits. Numerical simulations show the effectiveness of the method for suppressing periodic oscillations.
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Han, Hongfang, and Qinsheng Bi. "Bursting Oscillations as well as the Mechanism in a Filippov System with Parametric and External Excitations." International Journal of Bifurcation and Chaos 30, no. 12 (September 30, 2020): 2050168. http://dx.doi.org/10.1142/s0218127420501680.

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The main purpose of this paper is to explore the bursting oscillations as well as the mechanism of a parametric and external excitation Filippov type system (PEEFS), in which different types of bursting oscillations such as fold/nonsmooth fold (NSF)/fold/NSF, fold/NSF/fold and fold/fold bursting oscillations can be observed. By employing the overlap of the transformed phase portrait and the equilibrium branches of the generalized autonomous system, the mechanisms of the bursting oscillations are investigated. Our results show that the fold bifurcation and the boundary equilibrium bifurcation (BEB) can cause the transitions between the quiescent states and repetitive spiking states. The oscillating frequencies of the spiking states can be approximated theoretically by their occurring mechanisms, which agree well with the numerical simulations. Furthermore, some nonsmooth evolutions are investigated by employing differential inclusions theory, which reveals that the positional relationship between the points of the trajectory interacting with the nonsmooth boundary and the related sliding boundary of the nonsmooth system may affect the nonsmooth evolutions.
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Li, Bingtuan. "Discrete oscillations." Journal of Difference Equations and Applications 2, no. 4 (January 1996): 389–99. http://dx.doi.org/10.1080/10236199608808073.

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MATARRESE, SABINO, and MASSIMO PIETRONI. "BARYONIC ACOUSTIC OSCILLATIONS VIA THE RENORMALIZATION GROUP." Modern Physics Letters A 23, no. 01 (January 10, 2008): 25–32. http://dx.doi.org/10.1142/s0217732308026182.

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Renormalization Group techniques, successfully employed in quantum field theory and statistical physics, are applied to study the dynamics of structure formation in the Universe. A semi-analytic approach to the computation of the nonlinear power-spectrum of dark matter density fluctuations is proposed. The method can be applied down to zero redshift and to length scales where perturbation theory fails. Our predictions accurately fit the results of numerical simulations in reproducing the "acoustic oscillations" features of the power spectrum, which will be accurately measured in future galaxy surveys and will provide a probe to distinguish among different dark energy models.
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Gilson, James G. "Oscillations of a polarizable vacuum." Journal of Applied Mathematics and Stochastic Analysis 4, no. 2 (January 1, 1991): 95–110. http://dx.doi.org/10.1155/s1048953391000060.

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A classical basis for one-dimensional Schrödinger quantum theory is constructed from simple vacuum polarization harmonic oscillators within standard stochastic theory. The model is constructed on a two-dimensional phase configuration surface with phase velocity vectors that have a speed of light zitterbewegung behaviour character. The system supplies a natural Hermitian scalar product describing probability density which is derived from angular momentum considerations. The generality of the model which is extensive is discussed.
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Chernyshev, Vladimir, Leonid Savin, and Olga Fominova. "Indirect Control of Oscillations: Elements of Theory." SPIIRAS Proceedings 18, no. 1 (December 1, 2018): 148–75. http://dx.doi.org/10.15622/sp.18.1.148-175.

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A brief review of the main research areas in the field of controlled vibration protection systems is given. It is shown that Vibration systems with indirect control processes of oscillations allow with a minimum expenditure of energy to ensure programmable switching parameters and structures, in which the dissipative restoring and inertial forces generated on the basis of active impact. Within synthesis of indirect control the chains of new auxiliary mathematical constructs for finding optimal synthesizing functions of the elastic-damping units parameters control are obtained. It enabled to separate a base model with intermittent damping and base model with impulse trap. As a result of the study, based on the harmonic balance method, the dynamic properties of the basic model with intermittent damping, calculation formulas are obtained for determining the parameters of the compensation effect and calculating the dynamic coefficient. It is established that, with an optimal sequence of damping switching, the resonant phenomena are eliminated, and the transient processes decay within one period of the kinematic perturbation. The basic model with a pulse trap imitates the limiting variant of intermittent damping and realizes the process of superimposing constraining bonds, the sequence and duration of which are new variables essentially increasing controllability. And for indirect pulse control, there exicts a certain minimum of power consumption independent of the achieved effect of vibration protection. A regulated increase in the duration of the application of the restraining coupling in the low-frequency region and a decrease in this duration in the high-frequency region provides a monotonically decreasing dependence on the dynamic coefficients over the entire frequency range. An example of a solution to the optimization problem of controlling the damping process for a basic model of a vibration isolation system is considered. It is established that intermittent damping is an indispensable feature of the optimality of the vibration isolation system: the damper switches on when the sign of the object's speed has changed and turns off when the object's displacement sign has changed.
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Dissertations / Theses on the topic "Applied theory of oscillations"

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Hee, Sonke. "Computational Bayesian techniques applied to cosmology." Thesis, University of Cambridge, 2018. https://www.repository.cam.ac.uk/handle/1810/273346.

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This thesis presents work around 3 themes: dark energy, gravitational waves and Bayesian inference. Both dark energy and gravitational wave physics are not yet well constrained. They present interesting challenges for Bayesian inference, which attempts to quantify our knowledge of the universe given our astrophysical data. A dark energy equation of state reconstruction analysis finds that the data favours the vacuum dark energy equation of state $w {=} -1$ model. Deviations from vacuum dark energy are shown to favour the super-negative ‘phantom’ dark energy regime of $w {< } -1$, but at low statistical significance. The constraining power of various datasets is quantified, finding that data constraints peak around redshift $z = 0.2$ due to baryonic acoustic oscillation and supernovae data constraints, whilst cosmic microwave background radiation and Lyman-$\alpha$ forest constraints are less significant. Specific models with a conformal time symmetry in the Friedmann equation and with an additional dark energy component are tested and shown to be competitive to the vacuum dark energy model by Bayesian model selection analysis: that they are not ruled out is believed to be largely due to poor data quality for deciding between existing models. Recent detections of gravitational waves by the LIGO collaboration enable the first gravitational wave tests of general relativity. An existing test in the literature is used and sped up significantly by a novel method developed in this thesis. The test computes posterior odds ratios, and the new method is shown to compute these accurately and efficiently. Compared to computing evidences, the method presented provides an approximate 100 times reduction in the number of likelihood calculations required to compute evidences at a given accuracy. Further testing may identify a significant advance in Bayesian model selection using nested sampling, as the method is completely general and straightforward to implement. We note that efficiency gains are not guaranteed and may be problem specific: further research is needed.
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Balmforth, N. J. "The theory of stellar oscillations." Thesis, University of Cambridge, 1990. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.358576.

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Костенко, Юрий Викторович. "Анализ параметров динамических процессов в виброударных машинах с изменяющимися массово-жесткостными характеристиками." Thesis, НТУ "ХПИ", 2015. http://repository.kpi.kharkov.ua/handle/KhPI-Press/19912.

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Диссертация на соискание научной степени кандидата технических наук по специальности 05.02.09 – динамика и прочность машин. – Национальный технический университет "Харьковский политехнический институт", Харьков, 2016. Диссертация посвящена разработке подходов, методов и моделей для исследования динамических процессов в виброударных системах с учетом изменяемой во времени массы технологического груза и нелинейной жесткости упругих опор. В данной работе изложен новый подход к учету влияния переменной массы технологического груза на характер динамических процессов в виброударной системе. Разработаны и предложены зависимости, математические модели, которые описывают характер изменения массы технологического груза во времени, как на основе экспериментальных исследований (эмпирический закон), так и в зависимости от количества диссипированной энергии. Установлено, что вследствии нелинейности жесткости упругих опор и в зависимости от их конструктивного исполнения, становится возможной реализация субгармонических режимов, что приводит к росту силы ударного взаимодействия. Для оценки влияния параметров упругих опор (варианты конструктивного исполнения, жесткость пружин) проведены многовариантные исследования, по результатам которых выделены характерные субгармонические режимы и их характеристики (фазовые портреты, временные распределения). Установлена степень влияния изменения различных параметров упругих опор на характер колебательного процесса в ходе их многовариантного варьирования. На базе корпуса усовершенствованной вибромашины, функционирующей в составе автоматизированной линии для выбивки крупного вагонного литья, проведен натурный эксперимент с целью подтверждения точности и адекватности полученных ранее результатов численных исследований.
The thesis on competition of a scientific degree of Candidate of technical Science on a specialty 05.02.09 – dynamic and strength of machines. – National Technical University "Kharkiv polytechnical institute", Kharkiv, 2016. This thesis is devoted to the development of approaches, methods and models for investigation of dynamic processes in vibroimpact systems with variable mass of the weight and nonlinear rigidness of elastic supports. In this paper new approach to the accounting of the variable mass influence on the character of dynamical processes in vibroimpact systems was presented. The dependences, that describes the mass change character, based on experimental researches and dependence from dissipated energy were proposed. It was found that the realization of sybharmonical modes became possible because of elastic supports nonlinearity and design features. The realization of subharmonical modes lead to growth of impact interaction force. The approach, based on corresponding values for phase variables at the beginning and the end of period was proposed to periodic solutions search. The criteria for tuning from resonance frequencies that can appear on perturbing force with multiple (partite) frequency were formulated. The machine body designed with taking to the account previously formulated recommen-dations was created. The investigation of stress-strain status was performed and found that improved machine body satisfies strength requirements. The comparison of numerical and experimental data was done. The accuracy and authenticity of numerical investigations was confirmed.
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Костенко, Юрій Вікторович. "Аналіз параметрів динамічних процесів у віброударних машинах зі змінними масово-жорсткісними характеристиками." Thesis, ФО-П Дуюнова Т. В, 2016. http://repository.kpi.kharkov.ua/handle/KhPI-Press/19909.

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Дисертація на здобуття наукового ступеня кандидата технічних наук за спеціальністю 05.02.09 – динаміка та міцність машин. – Національний технічний університет "Харківський політехнічний інститут", Харків, 2016. Дисертація присвячена розробці підходів, методів і моделей для дослідження динамічних процесів у віброударних системах з урахуванням змінної у часі маси технологічного вантажу та нелінійної жорсткості пружних опор. У роботі викладений новий підхід до урахування впливу змінної маси технологічного вантажу на характер динамічних процесів у віброударній системі. Запропоновані залежності, що описують характер зміни маси як на основі експериментальних досліджень, так і залежно від дисипації енергії при ударі. Встановлено, що внаслідок нелінійної жорсткості пружних опор та залежно від їх конструктивного виконання, можливою є реалізація субгармонійних режимів, що призводить до зростання сили ударної взаємодії. Для пошуку періодичних розв'язків був запропонований новий підхід, що базується на відповідності фазових змінних на початку та в кінці періоду процесу. На основі результатів досліджень сформульовані критерії для відлаштування від резонансу, що може виникнути на кратних (дольних) частотах збудження. З урахування рекомендацій створена удосконалена конструкція корпусу віброударної машини. Проведені дослідження напружено-деформованого стану удосконаленого корпусу вібромашини та встановлено, що він відповідає вимогам міцності. Проведене порівняння отриманих числових результатів досліджень з експериментальними даними. Підтверджена точність і достовірність проведених числових досліджень.
The thesis on competition of a scientific degree of Candidate of technical Science on a specialty 05.02.09 – dynamic and strength of machines. – National Technical University "Kharkiv polytechnical institute", Kharkiv, 2016. This thesis is devoted to the development of approaches, methods and models for investigation of dynamic processes in vibroimpact systems with variable mass of the weight and nonlinear rigidness of elastic supports. In this paper new approach to the accounting of the variable mass influence on the character of dynamical processes in vibroimpact systems was presented. The dependences, that describes the mass change character, based on experimental researches and dependence from dissipated energy were proposed. It was found that the realization of sybharmonical modes became possible because of elastic supports nonlinearity and design features. The realization of subharmonical modes lead to growth of impact interaction force. The approach, based on corresponding values for phase variables at the beginning and the end of period was proposed to periodic solutions search. The criteria for tuning from resonance frequencies that can appear on perturbing force with multiple (partite) frequency were formulated. The machine body designed with taking to the account previously formulated recommen-dations was created. The investigation of stress-strain status was performed and found that improved machine body satisfies strength requirements. The comparison of numerical and experimental data was done. The accuracy and authenticity of numerical investigations was confirmed.
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Hayward, Scott Kelly. "Three neutrino oscillations applied to solar and long baseline experiments." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0031/NQ27158.pdf.

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Chen, Viola. "Essays in applied theory." Diss., Restricted to subscribing institutions, 2008. http://proquest.umi.com/pqdweb?did=1666128091&sid=36&Fmt=2&clientId=1564&RQT=309&VName=PQD.

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Chen, Lizi Ph D. Massachusetts Institute of Technology. "Essays in applied theory." Thesis, Massachusetts Institute of Technology, 2019. https://hdl.handle.net/1721.1/122443.

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Thesis: Ph. D., Massachusetts Institute of Technology, Department of Economics, 2019
Cataloged from PDF version of thesis.
Includes bibliographical references.
In "Incomplete Contracting with Endogenous Competition," I consider a variant of the incomplete contracting with renegotiation model introduced by Hart and Moore (1988). I study a trading relation between a buyer and seller, where some ex-ante relationship specific investment on the part of the seller is needed to generate value for the buyer. Uncertainty is revealed ex post, in that prior to the investment stage, the buyer does not know which type of service she may need, and it is impossible to describe under what precise circumstances she needs a particular service. The contract can take only two broad forms: (1) a specification of the nature of a service to be provided under all circumstances, or (2) a general option contract, namely, a menu of services that the seller agrees to provide at predetermined terms.
In addition to uncertainty regarding state realizations which was the focus of the literature thus far, I consider a different source of contracting friction, namely, uncertainty about downstream profitability. I show that depending on the specific assumptions, the competitor may invest in, produce and sell an imperfect substitute or free-ride on the incumbent supplier's investment and replicate a perfect substitute with positive probability. However, in a subgame-perfect equilibrium, the incumbent supplier will correctly anticipate potential entrants and change its ex-ante investment to account for downstream competition. It may also distort the level of its ex-ante investment to deter future entry. In this paper, information affects the outcome of economic transactions, but the presence and absence of information is exogenously given by assumptions about the form of competitions.
In my paper "Selling Information: Multidimensional Oligopolistic Competition," I model the information structure as a variable endogenously chosen to optimally manage competition. Specifically, I consider a model of an economic transaction between an upstream monopolist and several downstream oligopolists. The downstream parties may be E-commerce retailers who compete over a heterogeneous customer base. Each party may have some prior assessment over the distribution of customer types, but would benefit from incremental knowledge on customer information. The upstream party, in this scenario, is an information vendor, who has access to technology required to develop a targeting device. Since information is valuable, to extract surplus the upstream party would like to improve the quality of information. Such motive is counterbalanced by the incentive to manage competition.
The upstream monopolist supplies a menu of multi-dimensional intermediate goods from which the downstream oligopolists select. The oligopolists then use the previously purchased intermediate goods to produce the final products and compete with each other. The model enriches Bonatti (2015)'s multi-dimensional information product model by considering what the information product is used for (competing for heterogeneous customers by per information product. The key feature of the model is that the information good is intermediate, whose value is affected by the extent of ex post competition among the The model captures the indirect externalities conferred in the market for information. Specifically, the value of customer information to a given firm is no longer determined solely by the characteristics of that firm and the those customers. Instead, the value now also depends on the market competition structure among all downstream firms.
For example, a model of competition of customer information has features similar to an arms race: having better information over the opponent allows one to better engage in better price discrimination, but it also increases the value of information to the opponent and induces more aggressive demand for information on the part of the opponents. In addition to economic transactions, in my third paper I study the role of information in managing and orienting actions beyond the market. In "Information Theory Foundation of Propaganda," I develop a model of strategic information signaling with an informed sender and a continuum of imperfectly informed receivers. The sender sends a costly signal to disrupt receivers' coordination action and to bias their aggregate action away from the true state towards the sender's desired state. The receivers want to match their actions to the true state and also seek to coordinate with each other.
The leading application of the model is an authoritarian regime sending propaganda to its citizens to prevent them from learning the true strength of the regime and taking collective actions. In equilibrium the sender's manipulation does not succeed in changing the mean of the receivers' beliefs, but manipulation makes their interpretation of the signal noisier. This model helps resolve an empirical puzzle: since we observe propaganda, regimes apparently think it works, in some way, but can propaganda work, even if the citizens who see it know it is biased information? In the model, propaganda works not through changing beliefs per se, but through adding noise and confusion into the communication structure, so that citizens, who value coordination, are more likely to redirect their attention across various sources of information.
by Lizi Chen.
Chapter 1: Incomplete Contracting with Endogenous Competition -- Chapter 2: Selling Information: Multidimensional Oligopolistic Competition -- Chapter 3: Information Theory Foundation of Propaganda.
Ph. D.
Ph.D. Massachusetts Institute of Technology, Department of Economics
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Clarke, Alan. "A study of distances and the Baryon Acoustic Oscillations in curved spacetimes." Master's thesis, University of Cape Town, 2012. http://hdl.handle.net/11427/10211.

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Includes bibliographical references.
The Baryon Acoustic Oscillations offer a powerful method of measuring cosmological distances and the expansion history of the Universe. Understanding of the BAO comes from linear physics and allows for accurate predictions of the BAO scale. This will result in accurate measurements of the parameters of the Universe. Currently, most BAO measurements assume a flat cosmology; this work seeks to investigate if the assumption of flatness provides inaccuracies in the measurement process.
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Pagnozzi, Marco. "Essays in applied auction theory." Thesis, University of Oxford, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.400757.

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Flores, Sandoval Miguel Angel. "Essays on applied microeconomic theory." Thesis, University of Leicester, 2013. http://hdl.handle.net/2381/27681.

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This thesis collects three essays in applied microeconomic theory. Chapter 1 studies entry in a market where firms compete in shopping hours and prices. I explore the effect of shopping hours deregulation on social welfare. I show that an incumbent firm can strategically choose its opening hours to deter entry of a new firm, and that shopping hours deregulation can be harmful to consumers and social welfare. Chapter 2 examines the implications of prominence when firms' R&D investment is endogenous and consumers search sequentially. In the benchmark case consumers visit a firm randomly while in the prominence case all consumers visit the prominent firm first. I find that the prominent firm is the most efficient firm. The non-prominent firm is the least efficient firm if R&D cost is high but invests more in R&D than with random search if R&D cost is low. Second, if the efficiency asymmetry is sufficiently low prices with prominence are lower than prices with random search. If the efficiency asymmetry is high prices with prominence are higher than prices with random search. If the efficiency asymmetry is not too low the prominent firm charges a lower price than the non-prominent firm, and the price with random search lies between those prices. Third, when a firm is prominent both consumer surplus and social welfare are higher than with random search. Chapter 3 discusses whether taxes, subsidies and cash incentives are effective in reducing unhealthy food consumption, and which one is the most appropriate policy to tackle the obesity problem in the US and the UK. Cash incentives may be the most effective policy in reducing unhealthy food consumption, yet it can be the most costly one. Taxes are ineffective in reducing unhealthy food consumption. Subsidies have the best balance between effectiveness and monetary benefits to society.
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Books on the topic "Applied theory of oscillations"

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Mitropolʹskiĭ, I︠U︡ A. Applied asymptotic methods in nonlinear oscillations. Kiev: Ukrainian Academy of Sciences, 1994.

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I, Neĭmark I͡U. Stochastic and chaotic oscillations. Dordrecht: Kluwer Academic Publishers, 1992.

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Van, Dao Nguyen, ed. Applied asymptotic methods in nonlinear oscillations. Dordrecht: Kluwer Academic Publishers, 1997.

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Theory of oscillations. Singapore: World Scientific, 1999.

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Eliseev, Sergey Viktorovich, and Andrey Vladimirovich Eliseev. Theory of Oscillations. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-31295-4.

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Fridman, Vladimir. Theory of Elastic Oscillations. Singapore: Springer Singapore, 2018. http://dx.doi.org/10.1007/978-981-10-4786-2.

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Vitt, A. A. d. 1937., Khaĭkin S. Ė, and Fishwick Wilfred, eds. Theory of oscillators. New York: Dover, 1987.

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Leonov, Gennadiĭ Alekseevich. Frequency methods in oscillation theory. Dordrecht: Kluwer Academic Publishers, 1996.

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Mitropolskii, Yu A., and Nguyen Van Dao. Applied Asymptotic Methods in Nonlinear Oscillations. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-015-8847-8.

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Mitropolskii, Yu A. Applied Asymptotic Methods in Nonlinear Oscillations. Dordrecht: Springer Netherlands, 1997.

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Book chapters on the topic "Applied theory of oscillations"

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Aimar, Hugo, and Ana Bernardis. "Wavelet characterization of functions with conditions on the mean oscillation." In Wavelet Theory and Harmonic Analysis in Applied Sciences, 15–32. Boston, MA: Birkhäuser Boston, 1997. http://dx.doi.org/10.1007/978-1-4612-2010-7_2.

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Cornish, Alan. "V. M. Joshi and the Markov Oscillation Problem." In Advances in the Statistical Sciences: Applied Probability, Stochastic Processes, and Sampling Theory, 1–7. Dordrecht: Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-4786-3_1.

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Kuehn, Christian. "Oscillations." In Applied Mathematical Sciences, 397–430. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-12316-5_13.

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Kronauer, Richard E. "Oscillations." In Handbook of Applied Mathematics, 697–746. Boston, MA: Springer US, 1990. http://dx.doi.org/10.1007/978-1-4684-1423-3_13.

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Ermentrout, G. Bard, and David H. Terman. "Bursting Oscillations." In Interdisciplinary Applied Mathematics, 103–27. New York, NY: Springer New York, 2010. http://dx.doi.org/10.1007/978-0-387-87708-2_5.

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Hoppensteadt, Frank C. "Free Oscillations." In Applied Mathematical Sciences, 27–88. New York, NY: Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4757-2275-8_2.

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Hoppensteadt, Frank C. "Forced Oscillations." In Applied Mathematical Sciences, 157–88. New York, NY: Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4757-2275-8_6.

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Mitropolskii, Yu A., and Nguyen Van Dao. "Forced Oscillations." In Applied Asymptotic Methods in Nonlinear Oscillations, 107–95. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-015-8847-8_3.

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Costantino, Robert F., and Robert A. Desharnais. "Demographic Oscillations." In Monographs on Theoretical and Applied Genetics, 51–80. New York, NY: Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-3170-7_3.

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Hoppensteadt, Frank C. "Oscillations of Linear Systems." In Applied Mathematical Sciences, 3–26. New York, NY: Springer New York, 1993. http://dx.doi.org/10.1007/978-1-4757-2275-8_1.

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Conference papers on the topic "Applied theory of oscillations"

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Ansell, Phillip J., and Michael Bragg. "Characterization of Ice-Induced Low-Frequency Flowfield Oscillations and their Effect on Airfoil Performance." In 31st AIAA Applied Aerodynamics Conference. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2013. http://dx.doi.org/10.2514/6.2013-2673.

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Plikynas, Darius. "Oscillating Agent Model in Terms of Adapted Orch OR Theory." In 2015 International Conference on Modeling, Simulation and Applied Mathematics. Paris, France: Atlantis Press, 2015. http://dx.doi.org/10.2991/msam-15.2015.29.

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Al-Jumaily, A. M., M. Mathur, and M. J. Jo-Avila. "Enhancement of Bronchodilation Using Length Oscillations." In ASME 2012 Summer Bioengineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/sbc2012-80080.

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In asthma treatment β-agonists such as isoproterenol are used for their ability to relax airway smooth muscle (ASM) through stimulation of cAMP production. In vitro experiments conducted on ASM tissues suggest that length oscillations applied to contracted muscle result in a reduction in the contractile ability of the tissue. Conducting experiments on tissues from two different species leads to a fact that length oscillation enhances ASM relaxation induced by β-agonists agent independent of the species.
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Steindl, A., H. Troger, and J. V. Zemann. "Nonlinear Galerkin Methods Applied in the Dimension Reduction of Vibrating Fluid Conveying Tubes." In ASME 1997 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 1997. http://dx.doi.org/10.1115/imece1997-0068.

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Abstract In this paper we use the nonlinear Galerkin method to reduce the infinite dimensional system describing the oscillations of a fluid conveying tube to a finite low dimensional system. In fact we are able to replace a system of nonlinear partial differential equations by a set of nonlinear ordinary differential equations which are the amplitude equations of the critical modes. Three important problems are addressed in this respect. First, the choice of the form of the critical modes (ansatz functions), second the choice of the number m of the critical modes and finally the construction of the reduced system. For the latter point the so-called approximate inertial manifold (AIM) theory is used. Its explanation is one of the central goals of this paper. By means of numerical simulations for large amplitude oscillations of a fluid conveying tube we compare the results of various choices of ansatz functions and various numbers m. Further we compare the inertial manifold approximation with the flat Galerkin method which usually is used by engineers.
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Zhu, M., A. P. Dowling, and K. N. C. Bray. "Flame Transfer Function Calculations for Combustion Oscillations." In ASME Turbo Expo 2001: Power for Land, Sea, and Air. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/2001-gt-0374.

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Combustors with fuel-spray atomisers are particularly susceptible to a low-frequency oscillation at idle and sub-idle conditions. For aero-engine combustors, the frequency of this oscillation is typically in the range 50-120Hz and is commonly called ‘rumble’. The mechanism involves interaction between the plenum around the burner and the combustion chamber. Pressure variations in the plenum or the combustor alter the inlet air and fuel spray characteristics, thereby changing the rate of combustion. This in turn leads to local ‘hot spots’ which generate pressure oscillations as they convect through the downstream nozzle. In order to eliminate the combustion oscillations, it is essential to determine which fuel atomisers are particularly likely to lead to instability by quantifying their sensitivity to flow perturbations. This can be done by identifying the system through understanding the transfer function, which represents the relationship between the unsteadiness of combustion and the inlet fuel and air. In the present work, various types of signals are applied to produce a small change the inlet fuel and air flow rates, the response in the rate of heat release caused downstream was calculated and stored for subsequent analysis. Afterwards, the system transfer function is calculated by determining the coefficients of an IIR filter (Infinite Impulse Response) for which the output signal is the downstream heat release rate and the input signal is the inlet flow rate. The required transfer function then follows from the Fourier transform of this relationship. The resulting transfer functions are compared with those obtained by the forced harmonic oscillations at a fixed given frequency. Suitably chosen input signals accurately recover the results for harmonic forcing at a single frequency, but also give detailed information about the combustor response over a wide frequency range. There are two distinct forms to the low-frequency quasi-steady response. In the primary zone, the rate of combustion is influenced by the turbulence and is enhanced when the inlet air velocity is large. Near the edge of combustion zone, the rate of combustion depends on the mixture fraction and is high when the mixture fraction is close to the stoichiometric value. This generates ‘hot spots’ which convect into the dilution zone. At higher frequencies, the combustion lags this quasi-steady response through simple lag-laws and the relevant time delays have been identified.
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Sa´nchez-Dehesa, Jose´, and He`lios Sanchis-Alepuz. "Acoustic Bloch Oscillations and Zener Effect in One-Dimensional Sonic Crystals." In ASME 2007 International Mechanical Engineering Congress and Exposition. ASMEDC, 2007. http://dx.doi.org/10.1115/imece2007-41851.

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We report the acoustic analogue of electronic Bloch oscillations and Zener tunneling in sonic crystals. First, an analytic theory of acoustic Bloch oscillations is presented for the simple case of a sound waves propagating along the normal of a multilayer made of any two different solid or fluids materials. The formulation is applied to the case of water cavities surrounded by Plexiglas layers. Transfer matrix calculations confirm the validity of the model by assuming that the longitudinal impinging vibration is perpendicular to the surfaces of the layers. An experimental demonstration of the predictions is performed by using a very simple experimental setup consisting of two transducers and a signal analyzer. While the Bloch oscillations can be used as signal modulator, the Zener effect can be applied as a resonant filter.
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Nihei, Yasunori, Takeshi Kinoshita, and Weiguang Bao. "Non-Linear Wave Forces Acting on a Body of Arbitrary Shape Slowly Oscillating in Waves." In ASME 2005 24th International Conference on Offshore Mechanics and Arctic Engineering. ASMEDC, 2005. http://dx.doi.org/10.1115/omae2005-67486.

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In the present study, non-linear wave loads such as the wave drift force, wave drift damping and wave drift added mass, acting on a moored body is evaluated based on the potential theory. The body is oscillating at a low frequency under the non-linear excitation of waves. The problem of interaction between the low-frequency oscillation of the body and ambient wave fields is considered. A moving coordinate frame following the low frequency motion is adopted. Two small parameters, which measure the wave slope and the frequency of slow oscillations (compared with the wave frequency) respectively, are used in the perturbation analysis. So obtained boundary value problems for each order of potentials are solved by means of the hybrid method. The fluid domain is divided into two regions by an virtual circular cylinder surrounding the body. Different approaches, i.e. boundary element method and eigen-function expansion, are applied to these two regions. Calculated nonlinear wave loads are compared to the semi-analytical results to validate the present method.
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Chen, Shuping, Wei Zhang, and Minghui Yao. "A New Approach for Computing the Normal Forms of High Dimensional Nonlinear Systems." In ASME 2010 International Mechanical Engineering Congress and Exposition. ASMEDC, 2010. http://dx.doi.org/10.1115/imece2010-38082.

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Normal form theory is very useful for direct bifurcation and stability analysis of nonlinear differential equations modeled in real life. This paper develops a new computation method for obtaining a significant refinement of the normal forms for high dimensional nonlinear systems. The method developed here uses the lower order nonlinear terms in the normal form for the simplifications of higher order terms. In the theoretical model for the nonplanar nonlinear oscillation of a cantilever beam, the computation method is applied to compute the coefficients of the normal forms for the case of two non-semisimple double zero eigenvalues. The normal forms of the averaged equations and their coefficients for non-planar non-linear oscillations of the cantilever beam under combined parametric and forcing excitations are calculated.
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Bueno, Atila Madureira, Angelo Marcelo Tusset, João Paulo Martins dos Santos, Masayoshi Tsuchida, and José Manuel Balthazar. "SDRE Control Applied to an Electromechanical Pendulum Excited by a Non-Ideal Motor." In ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/detc2013-12676.

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The dynamical behavior of an electromechanical pendulum system is analyzed by means of the classical perturbation theory. A frequency response model of the system is obtained, and the number of unstable poles are determined with the Routh-Hurwitz criterion. Numerical simulations show that the system presents nonlinear behavior such as hysteresis, with hard and soft characteristics, and the Sommerfeld effect in the resonance region. In order to keep the oscillations of the electromechanical system in a pre-defined amplitude range a control strategy is designed. The SDRE control strategy is used considering two control signals, a feedback control that tracks the system to a desired periodic orbit, and a nonlinear feedforward control that holds the system to that desired periodic orbit. Additionally, the robustness of the control technique is tested for parametric uncertainties. Numerical simulations show the efficiency of the control strategy.
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Wu, Yingdan, Michael Varenberg, and Michael J. Leamy. "Experimental Exploration of Schallamach Waves and Self-Excitation in a Belt-Drive System." In ASME 2018 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/detc2018-85894.

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We study the dynamic behavior of a belt-drive system to explore the effect of operating conditions and system moment of inertia on the generation of waves of detachment (i.e., Schallamach waves) at the belt-pulley interface. A self-excitation phenomenon is reported in which frictional fluctuations serve as harmonic forcing of the pulley, leading to angular velocity oscillations which grow in time. This behavior depends strongly on operating conditions (torque transmitted and pulley speed) and system inertia, and differs between the driver and driven pulleys. A larger net torque applied to the pulley generally yields more remarkable stick-slip oscillations with higher amplitude and lower frequency. Higher driving speeds accelerate the occurrence of stick-slip motion, but have little influence on the oscillation amplitude. Contrary to our expectations, the introduction of flywheels to increase system inertia amplified the frictional disturbances, and hence the pulley oscillations. This does, however, suggest a way of facilitating their study, which may be useful in follow-on research.
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Reports on the topic "Applied theory of oscillations"

1

Breizman, B. N., J. Candy, H. L. Berk, and F. Porcelli. On the theory of internal kink oscillations. Office of Scientific and Technical Information (OSTI), December 1997. http://dx.doi.org/10.2172/564315.

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Breiner, Spencer, Blake Pollard, and Eswaran Subrahmanian. Workshop on applied category theory:. Gaithersburg, MD: National Institute of Standards and Technology, February 2020. http://dx.doi.org/10.6028/nist.sp.1249.

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Carena, Marcella, and et al. QIS for Applied Quantum Field Theory. Office of Scientific and Technical Information (OSTI), March 2020. http://dx.doi.org/10.2172/1606412.

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Zakharov, L., F. Levinton, S. Migliuolo, and B. Rogers. The theory of stabilization of sawtooth oscillations in TFTR supershots. Office of Scientific and Technical Information (OSTI), November 1993. http://dx.doi.org/10.2172/10116209.

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Alford, Lionel D., and Robert C. Knarr. General Flight Test Theory Applied to Aircraft Modifications,. Fort Belvoir, VA: Defense Technical Information Center, January 1999. http://dx.doi.org/10.21236/ada371942.

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Quijano, Jorge. Radiative Transfer Theory Applied to Ocean Bottom Modeling. Portland State University Library, January 2000. http://dx.doi.org/10.15760/etd.516.

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Stoltz, P. H., and J. R. Cary. General linear theory of damped, beam-driven oscillations of a single wave. Office of Scientific and Technical Information (OSTI), June 1998. http://dx.doi.org/10.2172/621890.

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Steele, J. M. Probability and Statistics Applied to the Theory of Algorithms. Fort Belvoir, VA: Defense Technical Information Center, April 1995. http://dx.doi.org/10.21236/ada295805.

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Kalman, R. E. Research in Applied Mathematics Related to Nonlinear System Theory. Fort Belvoir, VA: Defense Technical Information Center, August 1985. http://dx.doi.org/10.21236/ada158330.

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Levy, Doron. Modern Perspectives in Applied Mathematics: Theory and Numerics of PDEs. Fort Belvoir, VA: Defense Technical Information Center, March 2015. http://dx.doi.org/10.21236/ada625377.

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