Inverse Mode Problem in the Discrete Model of Circular Plate Axial Symmetry Vibration

Article Preview

Abstract:

Using the second-order center difference scheme, the difference discrete model of axial symmetry vibration of a circular plate with arbitrary supports was established. In this paper, the stiffness matrix of the discrete model is proved as a sign-oscillation matrix, obtaining the qualitative properties of the axial symmetry vibration of the system. Furthermore, the inverse mode problem was raised and solved. Three examples of the numerical computation were also given in the paper.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

71-78

Citation:

Online since:

October 2010

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2010 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] R. Courant & D. Hilbert. Methods of Mathematical Physics. Interscience Publishers, a division of John & Sons, New York • London, (1953).

Google Scholar

[2] Ni Zhen-hua, Mechanics Vibration. Xian traffic university Press (in Chinese). (1989).

Google Scholar

[3] Q. S. Wang, Y. Wang, He Min. The Difference Discrete Model and Its Qualitative Property of the Circular Plate in Axial Symmetry Vibration. Journal of Anqing Teachers College (Natural Science) (in Chinese), 4(2010).

Google Scholar

[4] Gantmakher F.P. ,Krein M. G. Oscillation Matrices and Kernels and Small Vibrations of Mechanical Systems. Moscow-Leningrad State Publishing House of Technical-Theoretical Literature, 1950; Translation: Washington D. C., U. S. Atomic Energy Commission, (1961).

Google Scholar