Nonlinear Response of Clamped Circular Plates Subjected to Transverse Excitation Load

Abstract:

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Based on the von Kármán classical nonlinear plate theory, nonlinear axisymmetric vibrations of a clamped thin circular plate subjected to transverse harmonic load are investigated. Effects of static deformation on the vibration responses are considered. Harmonic motion is assumed. The time variable is eliminated and the partial differential equations are converted into a system of nonlinear ordinary differential equations by employing a Kantorovich time averaging method. The resulting nonlinear ordinary differential boundary-value problem is solved numerically by using shooting method. Effects of static-dynamic load on the transverse deflection, frequencies and amplitudes are examined in details. The resonance phenomenon is discussed emphatically.

Info:

Periodical:

Key Engineering Materials (Volumes 353-358)

Edited by:

Yu Zhou, Shan-Tung Tu and Xishan Xie

Pages:

2720-2723

Citation:

Y. G. Zhao et al., "Nonlinear Response of Clamped Circular Plates Subjected to Transverse Excitation Load", Key Engineering Materials, Vols. 353-358, pp. 2720-2723, 2007

Online since:

September 2007

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Price:

$38.00

[1] G. Herrmann: NACA TN 3578, (1955).

[2] N. Yamaki: Zeitschrift für Angewandte Mathematik und Mechanik Vol. 41(1961), p.501.

[3] C. L. Huang, B. E. Sandman: International Journal of Nonlinear Mechanics. Vol. 6 (1971), p.451.

[4] M. Hbouch, R. Benamar: Journal of Sound and Vibration Vol. 265(2003) p.123.

[5] M. Hbouch, R. Benamar: Journal of Sound and Vibration Vol. 277(2004), p.1.

[6] S. R. Li, Y. H. Zhou: Journal of Thermal Stress Vol. 26 No. 7(2003), p.691.

[7] S. R. Li, Y. H. Zhou and X. Song: Journal of Sound and Vibration Vol. 251 No. 1(2002), p.141.

[8] Y. G. Zhao, L. S. Ma and S. R. Li: Journal of Lanzhou University of Technology. Vol. 31 No. 2(2005) p.137.

[9] Y. G. Zhao, S. R. Li and L. S. Ma, in: ICMEM2005, edtied by R. C. Batra Publications/Science Press USA Inc, Naijing(2005), p.1092.

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