Vibration Qualitative Properties of Nonhomogeneous Membrane

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Abstract:

Some qualitative properties are discussed about the transverse vibration of nonhomogeneous rectangular membrane whose mass changes only along one direction. The oscillating property of nonhomogeneous rectangular membrane is presented. The distinct property of frequency spectrum and the distribution rule about the node line of modal function are also proved.

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1114-1118

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October 2010

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© 2010 Trans Tech Publications Ltd. All Rights Reserved

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[1] Gladwell, G. M. L. ,Inverse Problems in Vibration, Boston: Martinus Nijhoff Publishers, (1986).

Google Scholar

[2] Wang Dajun、Hu Haichang, Positive Definiteness and Compactness of Two Kinds of Operators in Theories of Elastic Structures, Scientia Sinica (Series A), 7(1985): 727-739.

Google Scholar

[3] Wang Qi-shen, He Bei-chang., Wang Da-jun, Some Qualitative Properties of Frequencies and Modes of Euler beam[J], Journal of Vibration Engineering, 4(1990),58-66.

Google Scholar

[4] Wang Qi-shen, He Bei-chang., Wang Da-jun, Some Qualitative Properties of Frequencies and Modes of Second-order Continuous System[J], J. Vibration And Shock (in Chinese), 1992, Vol. 3: 7-12.

Google Scholar

[5] Wang Qi-shen, Zhang Li-hua and He Min, The radial Green's Function among the transverse vibrating problem of nonhomogeneous membrane and its Oscillating Property, Journal of AnQing teachers college(Natural Science) (in Chinese) , 2007, Vol. 4: 19-20.

Google Scholar

[6] R. Courant and D. Hilbert, Methods of Mathematical Physics (Volume Ⅰ)[M], Interscience Publishers, a division of John & Sons, New York • London, 1953: 230-236.

Google Scholar

[7] Guo Dun-ren, Method of Mathematical Physics [M], Beijing: People's Edition publishers (in Chinese),1965 * This work is supported by the National Natural Science Foundation of China 10772001.. * WuLei, female((1972-)), associate professor ((E-mail: wul@aqtc. edu. cn)).

Google Scholar