Relevant bibliographies by topics / ROTATION-VIBRATION MODEL

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

Academic literature on the topic 'ROTATION-VIBRATION MODEL'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "ROTATION-VIBRATION MODEL"

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GUPTA, J. B. "NEW PERSPECTIVE IN ROTATION–VIBRATION INTERACTION." International Journal of Modern Physics E 22, no. 05 (2013): 1350023. http://dx.doi.org/10.1142/s0218301313500237.

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A linear relation for the level energy ratios in the ground band of even–even nuclei, based on the rotation–vibration expression, is derived and its application on a universal scale, including the O(6), E(5) and X(5) symmetries, is illustrated. A microscopic view of this relation and of the collective model is given. Also, an approximate relationship with single term power index formula E = aIb is demonstrated.
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Meyer, U. "The triaxial rotation vibration model in the Xe_Ba region." Progress in Particle and Nuclear Physics 38 (1997): 241–43. http://dx.doi.org/10.1016/s0146-6410(97)00031-8.

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Meyer, U., Amand Faessler, and S. B. Khadkikar. "The triaxial rotation vibration model in the XeBa region." Nuclear Physics A 624, no. 3 (1997): 391–400. http://dx.doi.org/10.1016/s0375-9474(97)00380-1.

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Liu, Xiaogang, Zhaoyu Wu, Jie Lu, and Jinli Xu. "Investigation of the Effect of Rotation Speed on Vibration Responses of Transmission System." MATEC Web of Conferences 256 (2019): 02019. http://dx.doi.org/10.1051/matecconf/201925602019.

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In the operating process, it is found the vibration of main reducer reaches a maximum value when certain types of vehicles are running at a speed around 4000 RPM. However, how the rotation speed of engine affects the vibration responses to automobile transmission system has not been investigated theoretically in details. To investigate this problem, the transmission system of automobile is simplified to a drive-final shaft system in this research, and a coupled vibration model of drive-final shaft system is developed. This model is used to simulate the vibration response to transmission system at different rotation speeds. Simulation results show that the torsional vibration responses reach the maximum when the rotation speeds are 3800 RPM and 4200 RPM and the vibration responses of pinion reach the maximum value when the rotation speeds are 4000 RPM and 4200 RPM. Moreover, finite element analysis is conducted to investigate the reason for this phenomenon. It is found that the torsional vibration responses reach the maximum value when the excitation frequency of engine is close to the resonance frequency of drive shafts. This research provides an effective method to analyse the vibration characteristics of automobile transmission system.
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Qin, Kang, Zhong Gen Xu, and Chang Gen Deng. "Analysis of Oxytropis Tower Structure with Model Method." Applied Mechanics and Materials 405-408 (September 2013): 1012–16. http://dx.doi.org/10.4028/www.scientific.net/amm.405-408.1012.

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Basic principles of the modal analysis are introduced. Model analysis of an oxytropis tower which is in an actual transmission tower system is carried out. Rationality of the modal is checked by results of the vibration periods. Meanwhile, analysis of vibration types of transformation and rotation under seismic action is also carried out, in order to provide reference data for further elastic-plastic analysis.
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Barts, B. I., E. V. Inopin, and N. A. Shlyakhov. "Quadrupole-octupole rotation-vibration model with self-consistent moments of inertia." Nuclear Physics A 448, no. 2 (1986): 253–70. http://dx.doi.org/10.1016/0375-9474(86)90090-4.

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Botero, D. F. Morales, L. C. Chamon, and B. V. Carlson. "Transition densities in the context of the generalized rotation-vibration model." Journal of Physics G: Nuclear and Particle Physics 44, no. 10 (2017): 105102. http://dx.doi.org/10.1088/1361-6471/aa846e.

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Berezin, V. I., and M. D. �l'kin. "Valence-optical scheme and vibration-rotation model of a polyatomic molecule." Journal of Applied Spectroscopy 56, no. 3 (1992): 212–16. http://dx.doi.org/10.1007/bf00659097.

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Child, Mark S., and Qingshi Zhu. "Vibration—rotation Hamiltonian of tetrahedral molecules in the local-mode model." Chemical Physics Letters 184, no. 1-3 (1991): 41–44. http://dx.doi.org/10.1016/0009-2614(91)87161-4.

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Wang, Cheng Jun, Long Li, Xiang Rui Meng, Qiong Liu, and Tian Yu Zhang. "Kinetic Properties of Hybrid Vibration Screen with Two-Translation and One-Rotation." Key Engineering Materials 693 (May 2016): 356–63. http://dx.doi.org/10.4028/www.scientific.net/kem.693.356.

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To meet the need of modernized coal dressing, topology theory was used to build a kind of hybrid mechanism 2PRRR-R which can work as a main excitation mechanism of three freedom degree hybrid vibration screen with two-translation and one-rotation. Next, D′Alembert’s principle was introduced to establish a kinetic model of vibration screen frame and surface, and kinematic equations of directions of vibration screen frame and surface was achieved. Then, ADAMS was used to perform kinetic simulation of vibration screen, and kinetic parameters of the hybrid vibration screen was finally tested on multi-dimensional vibration screening test bench. The research shows that kinetic parameters’ numerical simulation of hybrid vibration screen with two-translation and one-rotation basically agrees with spot test value, which verifies the feasibility of the mechanism design, that the screen frame is of two motion freedom, that screen surface is of three motion freedom degree, that the rotation of the screen surface is relatively independent and controllable. The research provides further study of kinetic properties and development of hybrid vibration screen with two-translation and one-rotation with workable reference.
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Dissertations / Theses on the topic "ROTATION-VIBRATION MODEL"

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Botero, Daniel Felipe Morales. "Cálculo de potenciais deformados no contexto do modelo generalizado de rotação-vibração." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/43/43134/tde-15102014-184904/.

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Para efeito de aplicação em cálculos de canais acoplados, potenciais calculados de maneira exata para sistemas envolvendo núcleos deformados não são adequados, pois resultariam em integrais multidimensionais muito difíceis de serem calculadas numericamente pelo tempo de cálculo computacional que isso implica. Nesta dissertação, apresentamos expressões para calcular de maneira aproximada os potenciais nuclear e coulombiano entre núcleos deformados, sendo essas expressões uma generalização de resultados obtidos em trabalhos anteriores. Os cálculos foram feitos no contexto do Modelo Generalizado de Rotação-Vibração (GRVM), que é um modelo de estrutura nuclear desenvolvido recentemente. Para obter essas expressões, as densidades nucleares foram expandidas até segunda ordem na deformação e foi levado em conta um valor finito para a difusividade nuclear nos cálculos de dupla convolução. Comparamos os correspondentes resultados obtidos com aqueles provenientes de algumas outras expressões, usualmente assumidas nesse tipo de cálculos, e também com os valores exatos (obtidos ao resolver numericamente a integral sextupla no cálculo de dupla convolução). As análises mostraram que a nossa aproximação -GRVM- é superior a essas outras de uma maneira geral, e, em particular, de forma muito melhor na região de pequenas distâncias de interação. As expressões analíticas do GRVM exprimem a dependência do potencial com as deformações de maneira explícita, sendo essa característica extremamente útil para a obtenção de potenciais de acoplamento de maneira analítica<br>For systems involving deformed nuclei, potentials calculated through an exact form are not appropriated for applications in coupled-channel (CC) calculations, because they result in multidimensional integrals impossible to be calculated numerically. In this work, we present equations for calculating the heavy-ion nuclear and Coulomb potentials, in an approximate form, that express the dependence of the potential on the deformations explicitly. This characteristic is extremely useful for obtaining coupling potentials analytically. The calculations were made in the context of the Generalized Rotation-Vibration Model (GRVM), which is a recently developed model of nuclear structure. To obtain these expressions, the nuclear densities were expanded up to second order in the deformation and a finite diffuseness value was taken into account in the calculation of the double-folding potential. We have compared the corresponding results with those obtained from other expressions usually assumed in such calculations, and also with the exact potential strength values (obtained by solving numerically the six dimensional integral of the double-folding calculation). The analyses show that our approach presents better results than the others, particularly so much better in the region of interaction of small distances.
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Arlt, Jan. "Experiments on Bose-Einstein condensation." Thesis, University of Oxford, 2000. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.326008.

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Marskar, Robert. "Nonlinear Vibration-Rotation Modes Of Inviscid Droplets." Thesis, Norges teknisk-naturvitenskapelige universitet, Institutt for fysikk, 2009. http://urn.kb.se/resolve?urn=urn:nbn:no:ntnu:diva-7657.

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Chevalier, Michèle. "Étude théorique et expérimentale des spectres de vibration-rotation des molécules tétraédriques de silane et méthane." Paris 11, 1988. http://www.theses.fr/1988PA112354.

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Cette thèse présente, dans sa partie théorique, une méthode de calcul des spectres de vibration et de vibrorotation des molécules tétréadriques. Le modèle des modes locaux décrit leurs vibrations d'élongation à l'aide d'oscillateurs anharmoniques, localisés sur chaque liaison. Les molécules à fort caractère local sont caractérisées par de faibles couplages entre ces oscillateurs, le traitement perturbatif de ceux-ci facilite alors le calcul des énergies des premiers niveaux excités. Le problème de la vibration-rotation, plus complexe que celui de la vibration pure, est résolu en couplant, dans le groupe Td, un opérateur vibrationnel local avec un opérateur rotationnel, tous deux étant symétrisés. Les intensités des transitions sont calculées avec le même formalisme et en supposant le moment dipolaire séparable en coordonnées locales. La partie expérimentale regroupe les résultats obtenus sur le méthane et le silane par double résonance IR-IR. La structure vibrorotationnelle de la dernière composante encore inconnue (de symétrie F1) du niveau 3ʋ3 du méthane a été observée, ainsi que celles des polyades (1100), (3000) et (2100) du silane. Les valeurs expérimentales des énergies vibrationnelles ainsi que celles des paramètres vibrorotationnels et rotationnels sont proches de celles calculées. L’accord est cependant un peu moins bon pour le méthane que pour le silane à cause de la présence de résonances entre élongations et pliages, négligées ici<br>This thesis reports, in its theoretical part, a method to compute vibration and vibrorotation spectra of tetrahedral molecules. The local mode model describes the stretch vibrations by means of anharmonic oscillators localized on each bond. The nearly local molecules are characterized by weak couplings between these oscillators. These couplings are treated perturbatively and the computation of the vibrational and rovibrational energies of the first excited levels is then easier. The vibration - rotation problem, more complicated than the pure vibrational one, is solved by coupling, in the Td group, a local vibrational operator with a rotational one, both having well-defined symmetries. The transition intensities are computed in the same way and by using a bond separable dipole moment function. The experimental part reports the results obtained on methane and silane by IR IR double resonance. The vibrational structure of the last unknown component (of F1 symmetry) of the 3ʋ3 level has been observed as well as those of the polyads (1100) (3000) and (2100) of silane. In the case of methane, the vibrational energy of the Ft level as well as the experimental values of the rotational and Coriolis constants are close to the calculated ones. For silane, the agreement is better both for the vibrational energies and for the rovibrational and rotational parameters. The stretch-bend Fermi resonances, not taken into account in this study, are weaker for silane than for methane, and are probably responsible for this
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Jarry, Patrick. "Mesure précise du paramètre de violation CP : ε / ε ' avec l'expérience E731 à Fermilab". Paris 11, 1987. http://www.theses.fr/1987PA112467.

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Cette thèse présente, dans sa partie théorique, une méthode de calcul des spectres de vibration et de vibrorotation des molécules tétréadriques. Le modèle des modes locaux décrit leurs vibrations d'élongation à l'aide d'oscillateurs anharmoniques, localisés sur chaque liaison. Les molécules à fort caractère local sont caractérisées par de faibles couplages entre ces oscillateurs, le traitement perturbatif de ceux-ci facilite alors le calcul des énergies des premiers niveaux excités. Le problème de la vibration-rotation, plus complexe que celui de la vibration pure, est résolu en couplant, dans le groupe Td, un opérateur vibrationnel local avec un opérateur rotationnel, tous deux étant symétrisés. Les intensités des transitions sont calculées avec le même formalisme et en supposant le moment dipolaire séparable en coordonnées locales. La partie expérimentale regroupe les résultats obtenus sur le méthane et le silane par double résonance IR-IR. La structure vibrorotationnelle de la dernière composante encore inconnue (de symétrie F1) du niveau 3ʋ3 du méthane a été observée, ainsi que celles des polyades (1100), (3000) et (2100) du silane. Les valeurs expérimentales des énergies vibrationnelles ainsi que celles des paramètres vibrorotationnels et rotationnels sont proches de celles calculées. L’accord est cependant un peu moins bon pour le méthane que pour le silane à cause de la présence de résonances entre élongations et pliages, négligées ici<br>This thesis reports, in its theoretical part, a method to compute vibration and vibrorotation spectra of tetrahedral molecules. The local mode model describes the stretch vibrations by means of anharmonic oscillators localized on each bond. The nearly local molecules are characterized by weak couplings between these oscillators. These couplings are treated perturbatively and the computation of the vibrational and rovibrational energies of the first excited levels is then easier. The vibration - rotation problem, more complicated than the pure vibrational one, is solved by coupling, in the Td group, a local vibrational operator with a rotational one, both having well-defined symmetries. The transition intensities are computed in the same way and by using a bond separable dipole moment function. The experimental part reports the results obtained on methane and silane by IR IR double resonance. The vibrational structure of the last unknown component (of F1 symmetry) of the 3ʋ3 level has been observed as well as those of the polyads (1100) (3000) and (2100) of silane. In the case of methane, the vibrational energy of the F1 level as well as the experimental values of the rotational and Coriolis constants is close to the calculated ones. For silane, the agreement is better both for the vibrational energies and for the rovibrational and rotational parameters. The stretch-bend Fermi resonances, not taken into account in this study, are weaker for silane than for methane, and are probably responsible for this
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Boulebnane, Hassane. "Étude conformationnelle et structurale des molécules hétéro-1 spiro (2. 5) octane par spectroscopie micro-onde." Nancy 1, 1988. http://www.theses.fr/1988NAN10091.

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L'étude des spectres de rotation de cinq isomères entre 12 et 26 GHZ permet la détermination des constantes de rotation dans l'approximation du rotateur rigide. La valeur du défaut d'inertie permet d'estimer la géométrie probable de chaque isomère et d'observer une déformation du cycle héxanique qui se manifeste surtout par un aplatissement
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Von, Laue Lukas. "Transferts de protons par effet tunnel dans l'acide benzoique : le rôle des vibrations moléculaires." Université Joseph Fourier (Grenoble), 1997. http://www.theses.fr/1997GRE10060.

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Une description quantitative des transferts de protons inter- et intramoleculaires, qui sont parmi les reactions chimiques les plus fondamentales, demande une connaissance de la surface d'energie potentielle. Le present travail contribue a la caracterisation de cette surface pour un systeme modele, le monocristal d'acide benzoique. Proche des positions d'equilibre, la spectroscopie vibrationnelle apporte des informations, tandis que la barriere de potentiel est caracterisee par des mesures d'effet tunnel. Ces mesures, par spectroscopie optique (raman, absorption, emission) et diffusion quasi-elastique de neutrons, sont faites en combinaison avec des substitutions isotopiques (#1#8o) et sous pression hydrostatique. Une nouvelle methode permettant de calculer la dynamique sur la surface d'energie potentielle multidimensionnelle est presentee. Elle repose sur une approche perturbative qui utilise la technique des instantons et evite la reduction habituelle a 2 ou 3 dimensions. Cette theorie peut etre appliquee dans le but d'evaluer l'effet tunnel de facon generale : inversion de l'ammoniac, rotation des groupements methyles, etc. . Pour les transferts de protons dans des dimeres d'acides carboxyliques, on fait une comparaison avec les resultats experimentaux.
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Mousavi, Lajimi Seyed Amir. "Design, Modeling, and Nonlinear Dynamics of a Cantilever Beam-Rigid Body Microgyroscope." Thesis, 2013. http://hdl.handle.net/10012/8060.

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A new type of cantilever beam gyroscope is introduced, modeled, and analyzed. The main structure includes a cantilever beam and a rigid body attached to the free end of the beam. The model accounts for the eccentricity, that is the offset of the center of mass of the rigid body relative to the beam's free end. The first and second moments of mass and the rotary inertia appear in the equations of motion and boundary conditions. The common mechanism of electrostatic actuation of microgyroscopes is used with the difference of computing the force at the center of mass resulting in the electrostatic force and moment in the boundary conditions. By using the extended Hamilton's principle, the method of assumed modes, and Lagrange's differential equations, the equations of motion, boundary conditions, and the discretized model are developed. The generalized model simplifies to other beam gyroscope models by setting the required parameters to zero. Considering the DC and AC components of the actuating and sensing methods, the response is resolved into the static and dynamic components. The static configuration is studied for an increasing DC voltage. For the uncoupled system of equations, the explicit equation relating the DC load and the static configuration is computed and solved for the static configuration of the beam-rigid body in each direction. Including the rotation rate, the stationary analysis is performed, the stationary pull-in voltage is identified, and it is shown that the angular rotation rate does not affect the static configuration. The modal frequencies of the beam-rigid body gyroscope are studied and the instability region due to the rotation rate is computed. It is shown that the gyroscope can operate in the frequency modulation mode and the amplitude modulation mode. To operate the beam-rigid body gyroscope in the frequency modulation mode, the closed-form relation of the observed modal frequency split and the input rotation rate is computed. The calibration curves are generated for a variety of DC loads. It is shown that the scale factor improves by matching the zero rotation rate natural frequencies. The method of multiple scales is used to study the reduced-order nonlinear dynamics of the oscillations around the static equilibrium. The modulation equations, the ``slow'' system, are derived and solved for the steady-state solutions. The computational shooting method is employed to evaluate the results of the perturbation method. The frequency response and force response plots are generated. For combinations of parameters resulting in a single-valued response, the two methods are in excellent agreement. The synchronization of the response occurs in the sense direction for initially mismatched natural frequencies. The global stability of the system is studied by drawing phase-plane diagrams and long-time integration of response trajectories. The separatrices are computed, the jump phenomena is numerically shown, and the dynamic pull-in of the response is demonstrated. The fold bifurcation points are identified and it is shown that the response jumps to the higher/lower branch beyond the bifurcation points in forward/backward sweep of the amplitude and the excitation frequency of AC voltage. The mechanical-thermal (thermomechanical) noise effect on the sense response is characterized by using a linear approximation of the system and the nonlinear "slow" system obtained by using the method of multiple scales. To perform linear analysis, the negligible effect of Coriolis force on the drive amplitude is discarded. The second-order drive resonator is solved for the drive amplitude and phase. Finding the sense response due to the thermal noise force and the Coriolis force and equating them computes the mechanical-thermal noise equivalent rotation rate in terms of system parameters and mode shapes. The noise force is included in the third-order equation of the perturbation and equation to account for that in the reduced-order nonlinear response. The numerical results of linear and reduced-order nonlinear thermal noise analyses agree. It is shown that higher quality factor, higher AC voltage, and operating at lower DC points result in better resolution of the microsensor.
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Books on the topic "ROTATION-VIBRATION MODEL"

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Oral, Mehmed, and United States. National Aeronautics and Space Administration., eds. Optical measurement of unducted fan flutter. NASA, 1991.

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Book chapters on the topic "ROTATION-VIBRATION MODEL"

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Zhluktov, Sergey V., and Gennadiy D. Smekhov. "A New Model for Rotation-Vibration-Dissociation Coupling in a Multi-Component Viscous Shock Layer." In Shock Waves @ Marseille II. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-78832-1_54.

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Qiu, Ju, and Chaofeng Liu. "Verification and Validation of Supersonic Flutter of Rudder Model for Experiment." In Optimization Problems in Engineering [Working Title]. IntechOpen, 2021. http://dx.doi.org/10.5772/intechopen.98384.

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The abrupt and explosive nature of flutter is a dangerous failure mode, which is closely related to the structural modes. In this work, the principal goal of the study is to produce the model, which is used very accurately for flutter predictions. Mode correctness of the model can correct the test deflects by the optimization technique----Sequential Quadratic Programming (SQP). The optimization of two finite element models for two flight conditions, transonic and supersonic speeds, had the different objectives which were defined by the nonlinear and linear eigenvector errors. The first and second frequencies were taken as constraints. And the stiffness of the rotation shaft was also restricted to some limits. The stiffness of the rudder axle was defined as design variables. Experiments were performed for considering springs both in plunge and in torsion of the rudder shaft. When the comparison between experimental information and analyzed calculations is described, generally excellent agreement is obtained between experimental and calculated results, and aeroelastic instability is predicted that agrees with experimental observations. Comments are also given concerning improvements of the flutter speed to be made to the model with changing stiffness of the rudder axle. Most importantly, V&amp;V Method is used to provide the confidence in the results from simulation in this paper. Firstly, it introduces experimental data from Ground Vibration Test to build up or modify the Finite Element Model, during the Verification phase, which makes simulated models closer to the real world and guarantees satisfaction of final computed results to requirements, such as airworthiness. Secondly, the flutter consequence is validated by wind tunnel test. These enhancements could find potential applications in industrial problems.
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Goody, R. M., and Y. L. Yung. "Vibration-Rotation Spectra of Gaseous Molecules." In Atmospheric Radiation. Oxford University Press, 1989. http://dx.doi.org/10.1093/oso/9780195051346.003.0005.

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In this chapter we discuss the characteristics of absorption by gaseous constituents of the earth’s atmosphere. This is a complex topic and atmospheric investigators may be disturbed by the idea that weather and climate might be affected by details of the kind we shall discuss. But, as yet, we lack criteria as to what is important and what is not, leaving little alternative to developing a general understanding of the field. A full description of the atmospheric absorption spectrum involves the intensities, state dependence, and detailed line profiles of 105 to 106 lines of 20 or more different chemical species. Given the capabilities of modern computers, it is possible to store, retrieve, and manipulate such data and this is the method of choice for purposes such as the identification of lines in high-resolution spectra. One of a number of current attempts to assemble an up-to-date archive of molecular data is the Air Force Geophysics Laboratory (AFGL) magnetic tape. Not only does this tape provide an economical means of access to the best data from a vast literature, but it also provides a convenient international standard atmosphere. Two numerical climate models, both using the AFGL data, cannot attribute their differences to the radiation data employed. We shall, therefore, address the subject of molecular spectroscopy in the general context of the AFGL tape and many of our illustrations are composed from the tape in preference to seeking out observed spectra. As will be apparent by the end of this chapter, it may sometimes take an expert to distinguish between the two. Figure 3.1 offers an overview of the atmospheric absorption spectrum. The six gases considered are the most important radiators, although climate studies often involve more and rarer species. All six gases are minor species (and therefore in dilute mixtures with nitrogen and oxygen) and are very simple molecules (methane is the most complex). Figure 3.1 shows no visible or ultraviolet spectra. The missing features are mainly electronic bands of oxygen and ozone; they will not be treated in this chapter since they are more complex theoretically but easier to handle empirically than the bands shown in Fig. 3.1.
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Conference papers on the topic "ROTATION-VIBRATION MODEL"

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Singh, Narendra, and Thomas E. Schwartzentruber. "Coupled Vibration-Rotation Dissociation Model for Nitrogen from Direct Molecular Simulations." In 47th AIAA Thermophysics Conference. American Institute of Aeronautics and Astronautics, 2017. http://dx.doi.org/10.2514/6.2017-3490.

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Wu, Zhao. "Study on torsional vibration fault physics diagnose model of large rotation shaft." In 2009 8th International Conference on Reliability, Maintainability and Safety (ICRMS 2009). IEEE, 2009. http://dx.doi.org/10.1109/icrms.2009.5269953.

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Gulshani, P. "A microscopic derivation of nuclear collective rotation-vibration model and its application to nuclei." In THERMOPHYSICS 2016: 21st International Meeting. Author(s), 2016. http://dx.doi.org/10.1063/1.4955344.

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Matsubara, Masami, Nobutaka Tsujiuchi, Tomohiko Ise, and Shozo Kawamura. "Vibration Analysis of Rotating Tires Focused on Effect of Rotation Using a Three - Dimensional Flexible Ring Model." In Noise and Vibration Conference and Exhibition. SAE International, 2017. http://dx.doi.org/10.4271/2017-01-1903.

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Wu, Zhao. "Investigations on Detection Model of Large Scale Rotation Shaft Torsional Vibration in Precision Heavy Machinery." In 2009 International Asia Conference on Informatics in Control, Automation and Robotics (CAR). IEEE, 2009. http://dx.doi.org/10.1109/car.2009.91.

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Shi, Chengzhi, and Robert G. Parker. "Vibration Mode Structure of Cyclically Symmetric Centrifugal Pendulum Vibration Absorber Systems." In ASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/detc2012-70086.

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This work develops an analytical model of centrifugal pendulum vibration absorber systems with equally-spaced, identical absorbers and uses it to investigate the structure of the modal vibration properties. The planar model admits two translational and one rotational degree-of-freedom for the rotor and a single arclength degree-of-freedom for each absorber. The gyroscopic effects from rotor rotation are taken into account. Examination of the associated eigenvalue problem reveals well-defined structure of the vibration modes resulting from the cyclic symmetry of the absorbers. The vibration modes are classified into rotational, translational, and absorber modes. Characteristics of each mode type are analytically proved.
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Cooley, Christopher G., and Robert G. Parker. "Vibration of High-Speed Compliant Gear Pairs." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59761.

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This study analytically investigates the vibration of high-speed, compliant gear pairs using a model consisting of coupled, spinning, elastic rings. The gears are elastically coupled by a space-fixed, discrete stiffness element that represents the contacting gear teeth. Hamilton’s principle is used to derive the nonlinear governing equations of motion and boundary conditions. These equations are linearized for small vibrations about the steady equilibrium due to rotation. The equations are cast in operator form, which exemplifies their gyroscopic system structure. The eigenvalue problem is discretized using Galerkin’s method. The natural frequencies and vibration modes for an example aerospace gear pair are numerically calculated for a wide-range of rotation speeds. The system coupling leads to multiple eigenvalue veering regions as the gear rotation speed varies. Highly coupled vibration modes that have meaningful deflection in the discrete mesh stiffness occur within a set frequency band. The vibration modes within this band have distinct nodal diameter components that evolve with rotation speed.
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8

Kippers, Noel, Gordon Holloway, and Andrew Gerber. "Towards a Model of Vibration for a Cantilevered Mixing Rotor." In ASME 2010 3rd Joint US-European Fluids Engineering Summer Meeting collocated with 8th International Conference on Nanochannels, Microchannels, and Minichannels. ASMEDC, 2010. http://dx.doi.org/10.1115/fedsm-icnmm2010-30702.

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This paper presents an analytic model for a mixing shaft with a standard 45° pitched-blade impeller (PBI) in a baffled mixing vessel. The vibrations and orbits are influenced by a combination of structural and hydrodynamic forces which are sensitive to geometric parameters, fluid properties and rotational speed. Results are included for three water-glycerol mixtures with viscosities of 50 cP, 100 cP and 500 cP and rotational speeds up to 1.3 time the natural frequency of the shaft with both tensile and compressive axial thrust loads resulting from the pitched blades. Experimental results for the expected mean squared vibration response, power spectral densities (PSD) and orbit statistics are presented. A model is presented that explains a number of trends that were experimental observed including asymmetry of the shaft’s vibration amplitude with rotation direction.
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9

Shi, Zhanqun, Andrew Higson, Lin Zheng, Fengshou Gu, and Andrew Ball. "Automatic Fault Detection Using a Model-Based Approach in the Frequency Domain." In ASME 8th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2006. http://dx.doi.org/10.1115/esda2006-95103.

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In this paper, the model-based approach is introduced into rotation machinery fault detection to achieve an automatic feature extraction. The paper starts with a brief review of the model-based approach, including model development, residual generation and fault detection and diagnosis. The applicability of this approach to rotation machinery is then considered. In order to overcome difficulties arising from phase shift and random measurements, the statistical performance of the vibration of rotation machinery is analysed in both time and frequency domains. A consistence model is developed using stochastic process theory. After model validation, the model-based approach is implemented in AC motor fault detection. The residual is generated by comparing the new measurement and the model prediction, by both subtraction and division. Fault detection results prove that the model-based approach is applicable to fault feature extraction for rotation machinery in the frequency domain.
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10

Smith, Eric, Aldo Ferri, and Griffin Schmitt. "Optimization of Vibration Isolation Mounts With Internal Rotation in Response to Shock Type Inputs." In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2016. http://dx.doi.org/10.1115/detc2016-59428.

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The design of isolation mounts is of critical importance in the protection of structures and sensitive equipment from damage or failure. Simultaneous protection from both shock and vibration is particularly challenging because of the broadband nature of the input signal and because of the deleterious effect of damping on high-frequency isolation. Prior work by the authors has shown that chains of translating and rotating mass/spring elements can act as a “mechanical filter” for input disturbances. If designed correctly, the isolator is able to trap some of the input energy into rotational vibration, preventing it from damaging the structure. However, in finite-length chains, wave reflections can result in secondary pulses that hit the structure and can diminish the effectiveness of the isolator. In this paper, the design of dynamic isolation mounts is improved using an optimization technique. Numerical simulations are performed using a parametric model of the new mount design. The simulated annealing optimization algorithm is used to determine the optimal system parameters for a given chain length. It is shown that the optimized system is able to achieve significant performance improvements. It is also shown that dynamic mounts that allow rotational movement of internal elements outperform optimized purely translational-motion systems.
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