A new approach on vibration analysis of locally nonlinear stiffness and damping system

被引：0

作者：

Yong W. ^{[1
]}

Qibai H. ^{[1
]}

Minggang Z. ^{[1
]}

Yongbo Z. ^{[1
]}

机构：

[1] School of Mechanical Science and Engineering, Huazhong University of Science and Technology, Wuhan

来源：

International Journal of Mechanics and Materials in Design | 2006年 / 3卷 / 1期

关键词：

Impulse response temporal method; Locally nonlinear vibrating system; Nonlinear stiffness and damping; Vibration response;

D O I：

10.1007/s10999-006-9008-9

中图分类号：

学科分类号：

摘要：

The nonlinear force induced by spring and damping of 2-degree-of-freedom locally nonlinear vibrating system is regarded as applied force, and its mathematical model is established in this paper. Then impulse response temporal method of linear vibrating system is applied in the system, the response of locally nonlinear vibrating system is obtained by convolution integration between unit impulse response of corresponding linear system and equivalent nonlinear force, and numerical simulation of the model is attained. Finally, the feasibility of the new method on the domain of locally nonlinear vibrating system is verified by comparing the results, which supplies a new method to solve approximately vibration response of locally nonlinear vibrating systems. © Springer Science+Business Media, Inc. 2007.

引用

页码：1 / 6

页数：5

共 10 条

[1]

Allen R.L., Mills D.W., Signal analysis: Time, frequency, scale, and structure, (2004)

[2]

Chen L., Wu Z., Averaging method for analyzing a multi-degrees-of-freedom nonlinear oscillation, J. Vib. Shock, 21, pp. 63-64, (2002)

[3]

Chiang I.F., Noah S.T., A convolution approach for the transient analysis of locally nonlinear rotor systems, J. Appl. Mech, 57, pp. 731-737, (1990)

[4]

Dimitriadis G., Cooper J.E., A time-frequency technique for the stability analysis of impulse responses from nonlinear aeroelastic systems, J. Fluid Struct, 17, pp. 1181-1201, (2003)

[5]

Elbeyli O., Sun J.Q., Unal G., A semi-discretization method for delayed stochastic systems, Commun. Nonlinear Sci. Numer. Simul, 10, pp. 85-94, (2004)

[6]

Hagedorn P., Schramm W., On the dynamics of large systems with locally nonlinearities, J. Appl. Mech, 55, pp. 946-951, (1988)

[7]

Iwata Y., Sato H., Komatsuzaki T., Analytical method for steady state vibration of system with locally nonlinearities using convolution integral and Galerkin method, J. Sound Vib, 262, pp. 11-23, (2003)

[8]

Li J., Wang Z., Stability analysis of nonlinear vibrations of a deploying flexible beam, Commun. Nonlinear Sci. Numer. Simul, 1, 4, pp. 30-33, (1996)

[9]

Nayfeh A.H., Mook D.T., Nonlinear oscillations, (1979)

[10]

Shi H., Vibrating systems - analysis, testing, modeling, controlling, (2004)

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