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Relevant bibliographies by topics / NONLINEAR RANDOM VIBRATION ANALYSIS

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Academic literature on the topic 'NONLINEAR RANDOM VIBRATION ANALYSIS'

Author: Grafiati

Published: 11 September 2023

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Journal articles on the topic "NONLINEAR RANDOM VIBRATION ANALYSIS"

1

Manohar, C. S. "Methods of nonlinear random vibration analysis." Sadhana 20, no. 2-4 (April 1995): 345–71. http://dx.doi.org/10.1007/bf02823196.

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HE, YONG, and WEI-LIANG JIN. "A STOCHASTIC EQUIVALENT LINEARIZATION FOR ANALYSIS OF MULTIPLE-DEGREE-OF-FREEDOM FLEXIBLE STRUCTURES." Journal of Earthquake and Tsunami 03, no. 04 (December 2009): 291–303. http://dx.doi.org/10.1142/s1793431109000640.

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Stochastic equivalent linearization (SEL) method has gained wide popularity because of its versatility in application to multiple-degree-of-freedom (MDOF) nonlinear systems. It is restricted in the random vibration analysis of flexible structures because of the implicit nonlinear system. This paper presents a new method for the equivalent nonlinear system of flexible structures. Using this method, the implicit geometrically nonlinear system can be represented as an explicit equivalent nonlinear system. According to the modal analysis method, the geometrically nonlinear force is replaced by a high-order moment of modal coordinate. The MDOF physical system is translated into a modal system, which could be solved easily. Based on the equivalent nonlinear system, the nonlinear random vibration method is presented by using SEL technology. By using the pseudo-excitation method, the efficiency of the nonlinear random vibration method is increased obviously. The rapid calculation makes it possible to analyze the nonlinear random vibration of MDOF flexible structure. The validation shows that the method has reasonable precision and high efficiency and it could be used in the random vibration analysis of practical flexible structures.

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Cryns, Jackson W., Brian K. Hatchell, Emiliano Santiago-Rojas, and Kurt L. Silvers. "Experimental Analysis of a Piezoelectric Energy Harvesting System for Harmonic, Random, and Sine on Random Vibration." Advances in Acoustics and Vibration 2013 (August 4, 2013): 1–12. http://dx.doi.org/10.1155/2013/241025.

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Harvesting power with a piezoelectric vibration powered generator using a full-wave rectifier conditioning circuit is experimentally compared for varying sinusoidal, random, and sine on random (SOR) input vibration scenarios; the implications of source vibration characteristics on harvester design are discussed. The rise in popularity of harvesting energy from ambient vibrations has made compact, energy dense piezoelectric generators commercially available. Much of the available literature focuses on maximizing harvested power through nonlinear processing circuits that require accurate knowledge of generator internal mechanical and electrical characteristics and idealization of the input vibration source, which cannot be assumed in general application. Variations in source vibration and load resistance are explored for a commercially available piezoelectric generator. The results agree with numerical and theoretical predictions in the previous literature for optimal power harvesting in sinusoidal and flat broadband vibration scenarios. Going beyond idealized steady-state sinusoidal and flat random vibration input, experimental SOR testing allows for more accurate representation of real world ambient vibration. It is shown that characteristic interactions from more complex vibration sources significantly alter power generation and processing requirements by varying harvested power, shifting optimal conditioning impedance, inducing voltage fluctuations, and ultimately rendering idealized sinusoidal and random analyses incorrect.

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vom Scheidt, J., and U. Wöhrl. "Nonlinear Vibration Systems with Two Parallel Random Excitations." Zeitschrift für Analysis und ihre Anwendungen 16, no. 1 (1997): 217–28. http://dx.doi.org/10.4171/zaa/760.

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Tabandeh, Armin, and Paolo Gardoni. "Nonlinear random vibration analysis: A Bayesian nonparametric approach." Probabilistic Engineering Mechanics 66 (October 2021): 103163. http://dx.doi.org/10.1016/j.probengmech.2021.103163.

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Roy, R. V., and P. D. Spanos. "Padé-type approach to nonlinear random vibration analysis." Probabilistic Engineering Mechanics 6, no. 3-4 (September 1991): 119–28. http://dx.doi.org/10.1016/0266-8920(91)90002-l.

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7

Krenk, S., and J. B. Roberts. "Local Similarity in Nonlinear Random Vibration." Journal of Applied Mechanics 66, no. 1 (March 1, 1999): 225–35. http://dx.doi.org/10.1115/1.2789151.

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A response analysis procedure is developed for oscillators with highly nonlinear stiffness and light nonlinear damping excited by non-white wide-band random noise based on local similarity between the random response and the deterministic response at the same energy level of the corresponding undamped oscillator. The analysis consists of three parts: introduction of modified phase plane variables, derivation of an approximate general form of the probability density of the response energy. for non-white excitation, and derivation of the spectral density function of the response from the conditional covariance function for a given energy level. The use of modified phase plane variables leads to a completely symmetric formulation and reformulates the stiffness nonlinearity as a nonlinear variation of the instantaneous angular frequency, and thereby a local rescaling of time. The probability density is obtained by averaging the full Fokker-Plank-Kolmogorov equation using local similarity, thus avoiding some theoretical problems associated with the traditional averaging of the stochastic differential equations. The use of local similarity with the exact undamped solution in the derivation of the conditional spectral density leads to a spectral density estimate, that contains the higher harmonic components explicitly. Comparisons of theoretical predictions with digital simulation estimates of both the probability and spectral densities for the Duffing oscillator demonstrate the accuracy of the theory.

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Wu, Penghui, Yan Zhao, and Xianghong Xu. "Power spectral density analysis for nonlinear systems based on Volterra series." Applied Mathematics and Mechanics 42, no. 12 (November 24, 2021): 1743–58. http://dx.doi.org/10.1007/s10483-021-2794-7.

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AbstractA consequence of nonlinearities is a multi-harmonic response via a mono-harmonic excitation. A similar phenomenon also exists in random vibration. The power spectral density (PSD) analysis of random vibration for nonlinear systems is studied in this paper. The analytical formulation of output PSD subject to the zero-mean Gaussian random load is deduced by using the Volterra series expansion and the conception of generalized frequency response function (GFRF). For a class of nonlinear systems, the growing exponential method is used to determine the first 3rd-order GFRFs. The proposed approach is used to achieve the nonlinear system’s output PSD under a narrow-band stationary random input. The relationship between the peak of PSD and the parameters of the nonlinear system is discussed. By using the proposed method, the nonlinear characteristics of multi-band output via single-band input can be well predicted. The results reveal that changing nonlinear system parameters gives a one-of-a-kind change of the system’s output PSD. This paper provides a method for the research of random vibration prediction and control in real-world nonlinear systems.

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9

Igusa, T., and R. Sinha. "Response Analysis of Secondary Systems With Nonlinear Supports." Journal of Pressure Vessel Technology 113, no. 4 (November 1, 1991): 524–31. http://dx.doi.org/10.1115/1.2928790.

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This paper introduces a simplified random vibrations analysis method of linear secondary systems with nonlinear supports. The method separates, as much as possible, the nonlinear analysis of the supports from the linear analysis of the remainder of the secondary system. Equivalent linearization is used to generate response-dependent linear properties of the supports directly from hysteresis loops. These properties are then combined with the properties of the secondary system, and a response analysis is performed using mode combination. The analysis procedure is simpler than standard random vibration methods, and for narrow-band responses, it accurately models nonlinear behavior. In addition, the procedure uses equivalent modal quantities, such as natural frequencies and damping ratios, which provide insight into the effects of the nonlinear supports on the secondary system.

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Shintani, Masanori, and Manabu Hamai. "Study on Analytical Model of Nonlinear Vibration for Elastic Plates With Gaps Under Random Waves." Journal of Pressure Vessel Technology 126, no. 4 (November 1, 2004): 504–9. http://dx.doi.org/10.1115/1.1689359.

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In this paper, an analytical model for the nonlinear elastic-plastic vibration for long plates with gaps subjected to random vibrations is considered. The nonlinear vibration is caused by the collision phenomena between a mass through a gap and plates with thickness of 0.5, 0.6, and 0.8 mm. An elastic perfectly plastic solid material is assumed in some cases, which adds another aspect to the nonlinear behavior of the system. The material characteristic of the steel is assumed to be an elasto-plasticity solid model. A restoring force characteristic is obtained as the nonlinear vibration of a cubic equation for 0.5, 0.6, and 0.8 mm, the thickness of the plates by experiments. Now the analytical model is proposed by the elasto-plasticity solid model. The relation between the displacement and the force is described by a complicated equation. The curve from the analytical model is called a deflection curve. The results by the analytical model are compared with the results by the experimental model. The restoring force characteristics by the analysis agree with those of the experiment. The restoring force characteristics of the analysis are described using cubic equations. The simple analysis model for evaluation of the vibration characteristic of the nonlinear vibration system, which performs collision vibration with gaps, is proposed by elasto-plasticity solid model in this paper. The results of this proposed analytical model agree with the experimental results better than the results of the minimum of error of square.

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Dissertations / Theses on the topic "NONLINEAR RANDOM VIBRATION ANALYSIS"

1

Sweitzer, Karl Albert. "Random vibration response statistics for fatigue analysis of nonlinear structures." Thesis, University of Southampton, 2006. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.427343.

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Lu, Yunkai. "Random Vibration Analysis of Higher-Order Nonlinear Beams and Composite Plates with Applications of ARMA Models." Diss., Virginia Tech, 2008. http://hdl.handle.net/10919/29128.

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In this work, the random vibration of higher-order nonlinear beams and composite plates subjected to stochastic loading is studied. The fourth-order nonlinear beam equation is examined to study the effect of rotary inertia and shear deformation on the root mean square values of displacement response. A new linearly coupled equivalent linearization method is proposed and compared with the widely used traditional equivalent linearization method. The new method is proven to yield closer predictions to the numerical simulation results of the nonlinear beam vibration. A systematical investigation of the nonlinear random vibration of composite plates is conducted in which effects of nonlinearity, choices of different plate theories (the first order shear deformation plate theory and the classical plate theory), and temperature gradient on the plate statistical transverse response are addressed. Attention is paid to calculate the R.M.S. values of stress components since they directly affect the fatigue life of the structure. A statistical data reconstruction technique named ARMA modeling and its applications in random vibration data analysis are discussed. The model is applied to the simulation data of nonlinear beams. It is shown that good estimations of both the nonlinear frequencies and the power spectral densities are given by the technique.
Ph. D.

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Ramanathan, Arun Kumar Kumar. "Dynamic response of a shipping container rack and suspended automotive parts under random excitation: Experimental, Computational and Analytical Studies." The Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1492093294208549.

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Fitch, Eric E. "Durability analysis method for nonstationary random vibration." Thesis, Massachusetts Institute of Technology, 1996. http://hdl.handle.net/1721.1/40004.

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Leeuwrik, Maarten James. "Nonlinear vibration analysis of inflatable dams." Thesis, Virginia Tech, 1987. http://hdl.handle.net/10919/45786.

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In recent years the use of inflatable dams has become more widespread throughout the world. Various people have done studies on the shape and membrane tension of these structures; however, only a few authors have considered dynamic behavior. Due to the nature of the applications and the material composition of these structures, a study considering the dynamic response of an inflatable dam is warranted.

In this study, the equation of motion for an air-inflated dam is derived, then solved using the Galerkin approximation method. The solution is performed for a one-term approximation and a two-term approximation, where both solutions use a sine function to approximate the deflected shape of the dam. Frequencies and amplitudes are calculated and presented in tables and plots for the first four modes, and three different values of the central angle of the dam. Comparisons to the results of other studies are presented at the conclusion of this study.
Master of Science

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Abou-Rayan, Ashraf M. "Deterministic and stochastic responses of nonlinear systems." Diss., Virginia Tech, 1991. http://hdl.handle.net/10919/39838.

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This dissertation is concerned with the responses of nonlinear systems to both deterministic and stochastic excitations. For a single-degree-of-freedom system, the response of a simply-supported buckled beam to parametric excitations is investigated. Two types of excitations are examined: deterministic and random. For the nonlinear response to a harmonic axial load, the method of multiple scales is used to determine to second order the amplitude-and phase-modulation equations. Floquet theory is used to analyze the stability of periodic responses. The perturbation results are verified by integrating the governing equation using both digital and analog computers. For small excitation amplitudes, the analytical results are in good agreement with the numerical solutions. The large-amplitude responses are investigated by using simulations on a digital computer and are compared with results obtained using an analog computer. For the stochastic response to a wide-band random excitation, the Gaussian and non-Gaussian closure schemes are used to determine the response statistics. The results are compared with those obtained from real-time analysis (analog-computer simulation). The normality assumption is examined. A comparison between the responses to deterministic and random excitations is presented.
Ph. D.

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7

Warkomski, Edward Joseph 1958. "Nonlinear structures subject to periodic and random vibration with applications to optical systems." Thesis, The University of Arizona, 1990. http://hdl.handle.net/10150/277811.

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The methods for analysis of a three degree-of-freedom nonlinear optical support system, subject to periodic and random vibration, are presented. The analysis models were taken from those generated for the dynamic problems related to the NASA Space Infrared Telescope Facility (SIRTF). The models treat the one meter, 116 kilogram (258 pound) primary mirror of the SIRTF as a rigid mass, with elastic elements representing the mirror support structure. Both linear and nonlinear elastic supports are evaluated for the SIRTF. Advanced Continuous Simulation Language (ACSL), a commercially available software package for numerical solution of nonlinear, time-dependent differential equations, was used for all models. The methods presented for handling the nonlinear differential equations can be readily adapted for handling other similar dynamics problems.

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Shiryayev, Oleg V. "Improved Structural Health Monitoring Using Random Decrement Signatures." Wright State University / OhioLINK, 2008. http://rave.ohiolink.edu/etdc/view?acc_num=wright1214234132.

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Karshenas, Amir Masood. "Random vibration and shock control of an electrodynamic shaker." Thesis, Heriot-Watt University, 1997. http://hdl.handle.net/10399/1170.

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Zhao, Yong. "Random vibration for seismic analysis of multiply supported nuclear piping." Case Western Reserve University School of Graduate Studies / OhioLINK, 1994. http://rave.ohiolink.edu/etdc/view?acc_num=case1061299266.

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Books on the topic "NONLINEAR RANDOM VIBRATION ANALYSIS"

1

A, Muravyov Alexander, and Langley Research Center, eds. Equivalent linearization analysis of geometrically nonlinear random vibrations using commercial finite element codes. Hampton, VA: National Aeronautics and Space Administration, Langley Research Center, 2002.

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2

Harley, Cudney, Sinha S. C. 1947-, American Society of Mechanical Engineers. Design Engineering Division., and Conference on Mechanical Vibration and Noise (15th : 1995 : Boston, Mass.), eds. Vibration of nonlinear, random, and time-varying systems: Presented at the 1995 ASME Design Engineering Technical Conferences--the 15th Biennial Conference on Mechanical Vibration and Noise, September 17-20, 1995, Boston, Massachusetts. New York: American Society of Mechanical Engineers, 1995.

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3

Preumont, André. Random vibration and spectral analysis. Dordrecht: Kluwer Academic, 1994.

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Preumont, André. Random Vibration and Spectral Analysis. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-017-2840-9.

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Preumont, André. Random vibration and spectral analysis. Dordrecht: Springer, 1994.

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6

Nonlinear random vibration: Analytical techniques and applications. 2nd ed. Leiden, the Netherlands: CRC Press/Balkema, 2012.

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7

Nonlinear random vibration: Analytical techniques and applications. Exton, (PA): Swets & Zeitlinger Publishers, 2000.

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8

Sun, Jian-Qiao. Global Analysis of Nonlinear Dynamics. New York, NY: Springer New York, 2012.

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9

Bendat, Julius S. Nonlinear system analysis and identification from random data. New York: Wiley, 1990.

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10

Jiang, Yu, Junyong Tao, and Xun Chen. Non-Gaussian Random Vibration Fatigue Analysis and Accelerated Test. Singapore: Springer Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-3694-3.

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Book chapters on the topic "NONLINEAR RANDOM VIBRATION ANALYSIS"

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Roy, R. Valéry, and Pol D. Spanos. "Padé-Type Approach to Nonlinear Random Vibration Analysis." In Stochastic Structural Dynamics 1, 155–72. Berlin, Heidelberg: Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/978-3-642-84531-4_9.

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2

Lin, Y. K., and G. Q. Cai. "Random Vibration of Hysteretic Systems." In Nonlinear Dynamics in Engineering Systems, 189–96. Berlin, Heidelberg: Springer Berlin Heidelberg, 1990. http://dx.doi.org/10.1007/978-3-642-83578-0_24.

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3

Heuer, R., H. Irschik, and F. Ziegler. "Large Amplitude Random Vibration of Polygonal Plates." In Nonlinear Stochastic Mechanics, 285–96. Berlin, Heidelberg: Springer Berlin Heidelberg, 1992. http://dx.doi.org/10.1007/978-3-642-84789-9_25.

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4

Preumont, André. "Random Fatigue." In Random Vibration and Spectral Analysis, 220–28. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-017-2840-9_11.

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Preumont, André. "Random Variables." In Random Vibration and Spectral Analysis, 13–34. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-017-2840-9_2.

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Preumont, André. "Random Processes." In Random Vibration and Spectral Analysis, 35–56. Dordrecht: Springer Netherlands, 1994. http://dx.doi.org/10.1007/978-94-017-2840-9_3.

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Kythe, Prem K., and Dongming Wei. "Vibration Analysis." In An Introduction to Linear and Nonlinear Finite Element Analysis, 323–50. Boston, MA: Birkhäuser Boston, 2004. http://dx.doi.org/10.1007/978-0-8176-8160-9_13.

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Naess, A. "Random Vibration of Ship Hulls." In IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics, 311–20. Dordrecht: Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-0321-0_29.

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Wagg, David, and Simon Neild. "Modal Analysis for Nonlinear Vibration." In Nonlinear Vibration with Control, 211–59. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-10644-1_5.

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Onu, Kristjan, Nishanth Lingala, and N. Sri Namachchivaya. "Random Vibration of a Nonlinear Autoparametric System." In Understanding Complex Systems, 11–23. Cham: Springer International Publishing, 2013. http://dx.doi.org/10.1007/978-3-319-02925-2_2.

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Conference papers on the topic "NONLINEAR RANDOM VIBRATION ANALYSIS"

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Miao, Jingliang, and Haixiang Liu. "The Analysis of Nonlinear Random Vibration of Vehicles." In ASME 2001 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/detc2001/vib-21655.

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Abstract In Engineering, Vehicles in motion which undergo some random excitation given by the surroundings, may result in violent vibrations. The calculated results indicate that: 1) the softening nonlinear spring isolator usually is effective. 2) In the vibration system, sometimes, added more damping meterial can not effectively isolate the vibration of vehicles. But choosing the reasonable forms of nonlinear structures just is a effective isolating method.

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Papadimitriou, Dimitrios, Zissimos P. Mourelatos, and Zhen Hu. "Reliability Analysis and Random Vibration of Nonlinear Systems Using the Adjoint Method and Projected Differentiation." In ASME 2020 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. American Society of Mechanical Engineers, 2020. http://dx.doi.org/10.1115/detc2020-22165.

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Abstract This paper proposes a new methodology for time-dependent reliability and random vibrations of nonlinear vibratory systems using a combination of a time-dependent adjoint variable (AV) method and a projected differentiation (PD) method. The proposed approach is called AV-PD. The vibratory system is excited by stationary Gaussian or non-Gaussian input random processes. A Karhunen-Loeve (KL) expansion expresses each input random process in terms of standard normal random variables. The nonlinear equations of motion (EOM) are linearized using a Taylor expansion using the first-order derivatives of the output with respect to the input KL random variables. An adjoint approach obtains the output derivatives accurately and efficiently requiring the solution of as many sets of EOM as the number of outputs of interest, independently of the number of KL random variables. The proposed PD method then computes the autocorrelation function of each output process at an additional cost of solving as many sets of EOM as the number of outputs of interest, independently of the time horizon (simulation time). A time-dependent reliability analysis is finally performed using a KL expansion of the output processes and Monte Carlo Simulation (MCS). The number of solutions of the EOM scales only with the number of output random processes which is commonly much smaller than the number of input KL random variables. The efficiency and accuracy of the proposed approach is demonstrated using a four degree-of-freedom (DOF) half-car vibratory problem.

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Capiez-Lernout, Evangéline, Christian Soize, and Moustapha Mbaye. "Computational Geometrically Nonlinear Vibration Analysis of Uncertain Mistuned Bladed Disks." In ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/gt2014-25072.

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The recent improvements in turbomachinery design requires the analysis of exceptional operating regime of bladed disks corresponding to geometrical nonlinear effects induced by the large displacements/deformations. In addition, the random nature of the mistuning has also to be modeled. First, a mean nonlinear reduced-order model of the tuned bladed disk is explicitly constructed in the context of the finite element method. The investigation is then devoted to the modeling of the mistuning through the nonparametric probabilistic approach extended to the nonlinear geometric context. The stochastic nonlinear equations are solved in the time domain using the Monte Carlo numerical simulation coupled with advanced arc-length methods adapted to high nonlinear response levels. Finally, the methodology is applied through a numerical example of a bladed disk and a nonlinear analysis is performed in both time and frequency domain.

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Segalman, Daniel J., Michael J. Starr, and Michael A. Guthrie. "Strategies for Analyzing Random Vibration of Jointed Structures." 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/detc2013-13293.

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Development of mathematical models for built-up structures, particularly those with many interfaces, is still primitive. This limitation is particularly evident when complex loads and load histories are considered, an example of which is random vibration. Two steps in simplifying this problem are explored here. First, the system response is approximated as that of the superposition of numerous decoupled modes, the coordinates of which evolve according to a constitutive model designed to capture the nonlinearity of the structure. Second, because among the categories of load for which dynamic analysis on nonlinear structures is particularly difficult is that of random loads and the resulting random vibration, and given the previous approximation, it is natural to apply the method of stochastic equivalent linearization to the governing equation of each mode. Both of these approximations are explored for the case where the nonlinear behavior of the interfaces is represented by a Masing-Prandtl-Ishlinskii-Iwan model employing a Palmov kernel.

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Wang, Rubin, Hatsuo Hayashi, and Zhikang Zhang. "RESONANCE ANALYSIS OF THE SMALL DAMPING NONLINEAR VIBRATION SYSTEM UNDER RANDOM DISTURBANCES AND DETERMINISTIC EXCITATIONS." In Proceedings of the Second International Conference. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776228_0094.

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Shintani, Masanori, Hiroyuki Ikuta, and Hiroyuki Shume. "Vibration Characteristic Evaluation of Nonlinear Vibration Systems With Gaps Considering Energy Dissipation by Collision." In ASME 2005 Pressure Vessels and Piping Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pvp2005-71429.

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This paper deals with nonlinear vibration of a continuum system with gaps under random waves considered collision phenomena. In order to investigate this nonlinear vibration characteristic, experiments are made with an experimental apparatus consisting of a nonlinear vibration system. A 2.3mm thick plate is used for the collision phenomena experiments. Moreover, an analytical model of the cubic equation is proposed based on the restoring force characteristics in the experiments. This analytical model is used for the simulation analysis, and the results are compared with the experimental results. However, the Root- Mean- Square (R.M.S.) values of the response acceleration of the analytical results are larger than R.M.S. values of the response acceleration of the experimental result. The difference of these results indicates that energy is dissipated in the collision phenomena. Then, the coefficient of restitution by the collision phenomenon between mass and plate is measured from the experiments. In the analysis, the dissipation energy is replaced with an equivalent damping ratio. The simulations are calculated by using this modified analysis. Consequently, the simulation results agree well with the experimental results.

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7

Zhao, Wei, Di Zhang, Lei Sun, and Yonghui Xie. "Nonlinear Dynamics Analysis of Mistuned Turbine Bladed Disks With Damped Shrouds." In ASME 2017 Power Conference Joint With ICOPE-17 collocated with the ASME 2017 11th International Conference on Energy Sustainability, the ASME 2017 15th International Conference on Fuel Cell Science, Engineering and Technology, and the ASME 2017 Nuclear Forum. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/power-icope2017-3433.

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This paper deals with the real dynamics characteristics of a mistuned steam turbine bladed disk subjected to dry friction forces to better understand the nonlinear mistuning phenomenon. Normal load, which directly affects contact stiffness between interfaces, is chosen as the mistuning parameter. Based on Mindlin model, a forced response analysis of the finite element model of mistuned bladed disk with damped shrouds is performed in ANSYS. Compared with results of other simplified models, a real and complicated nonlinear behavior are observed here. A mass of qualitative analysis is also performed to assess the impact of the mistuning magnitude and excitation level on the vibration. The result shows that, vibration response of bladed disk is affected by excitation and mistuning level significantly. Local amplification coefficient of vibration response in the cases of different mistuning levels is obtained by introducing 10 random mistuned patterns. In addition, frequency splitting phenomena even appears at one of the blades by the contribution of high mistuning levels. According to the calculated results for different excitation levels, the curve of modal damping varying with response amplitude is gained. Lastly, rigidity mistuning is introduced and a combined analysis is performed to investigate the influence of friction damping mistuning on rigidity mistuning in the same 10 random mistuning patterns. The arrangement of dry friction damping mistuning also could be controlled to reduce the local vibration amplification originating from structure mistuning. However, further statistical investigations should be made to gain more information. (CSPE)

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Liang, Frank Z., Wade Hezeltine, and Richard L. Williams. "Electronic Board/System Nonlinearity Characterization for Dynamic Analysis." In ASME 2005 Pacific Rim Technical Conference and Exhibition on Integration and Packaging of MEMS, NEMS, and Electronic Systems collocated with the ASME 2005 Heat Transfer Summer Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/ipack2005-73277.

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Many electronic boards or systems exhibit nonlinear behaviors during shock or vibration tests. One of the challenges for dynamics analysis of electronic boards or systems is to deal with these nonlinearities. In order to solve the nonlinear problem, the nonlinearities need to be revealed and characterized and their effects understood. This paper demonstrates the methods in identifying the nonlinearities and supported with empirical tests. Shock, random vibration and static bending were used to reveal the board system nonlinearities. The empirical results provided direction to update shock FE models.

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Kargarnovin, M. H., D. Younesian, D. J. Thompson, and C. J. C. Jones. "Nonlinear Vibration and Comfort Analysis of High-Speed Trains Moving Over Railway Bridges." In ASME 7th Biennial Conference on Engineering Systems Design and Analysis. ASMEDC, 2004. http://dx.doi.org/10.1115/esda2004-58498.

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The ride comfort of high-speed trains passing over railway bridges is studied in this paper. The effects of some nonlinear parameters in a carriage-track-bridge system are investigated such as the load-stiffening characteristics of the rail-pad and the ballast, rubber elements in the primary and secondary suspensions systems. The influence of the track irregularity and train speed on two comfort indicators, namely Sperling’s comfort index and the maximum acceleration level, are also studied. Timoshenko beam theory is used for modelling the rail and bridge and two layers of parallel damped springs in conjunction with a layer of mass are used to model the rail-pads, sleepers and ballast. A randomly irregular vertical track profile is modelled, characterised by a power spectral density (PSD). The ‘roughness’ is generated for three classes of tracks. Nonlinear Hertz theory is used for modelling the wheel-rail contact.

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Shintani, Masanori, Hiroyuki Ikuta, and Hajime Takada. "Evaluation of Energy Absorption in Nonlinear Vibration System With Gaps." In ASME 2005 Pressure Vessels and Piping Conference. ASMEDC, 2005. http://dx.doi.org/10.1115/pvp2005-71428.

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This paper deals with nonlinear vibration characteristics of a continuum system with collision phenomena under random waves with gaps. In order to investigate such a nonlinear vibration characteristic, an experimental apparatus consisting of a nonlinear vibration system was made. Moreover, we propose an analytical model based on the restoring force characteristics of the experiments. In this report, the size of the gap between a mass and a plate is set to 0.5mm or 1.0mm. For this experimental model we also propose an analytical model. We use plates of 1.6mm thickness in the collisions both in the experiment and the analysis. The analytical model is based on an elasto-plasticity solid model. When considering the coefficients of restitution or energy absorption, the experimental results nearly agree with the analytical results [10]. We found that the rate of a collision changes with the size of the gap at each input acceleration level. As the gap size widens, energy absorption decreases for each input acceleration level. Consequently, in order to increase the energy absorption, it becomes necessary to increase the rate of the collision.

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Reports on the topic "NONLINEAR RANDOM VIBRATION ANALYSIS"

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Michalopoulos, C. D. PR-175-420-R02 Effect of Random Seas on Pipeline Stability - Phase II. Chantilly, Virginia: Pipeline Research Council International, Inc. (PRCI), January 1986. http://dx.doi.org/10.55274/r0012172.

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Objectives of this work include: (1) The development of finite element computer program(s) for pipeline dynamic analysis which, coupled with the wave simulation programs developed in Phase I of the Project, will simulate efficiently the nonlinear dynamic response of a pipeline to random seas. (2) The utilization of these simulation programs in a research study whose objective was the determination of an appropriate statistical wave to be used as an equivalent "design wave" in the conventional stability analysis

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A user`s manual for the program TRES4: Random vibration analysis of vertical-axis wind turbines in turbulent winds. Office of Scientific and Technical Information (OSTI), March 1994. http://dx.doi.org/10.2172/143973.

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