正交各向异性薄板振动响应的波函数法

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Abstract The wave-based (WB) technique for predicting the vibration of thin orthotropic plate was proposed.The structure wave function that exactly satisfies the global governing vibration equation of orthotropic plate was deduced.The displacement response of infinite orthotropic plate under unit concentrated force was obtained utilizing the Fourier transformation.Further, the bending vibration of the thin orthotropic plate with WBM was achieved by a weighted residual method after computing the weight coefficient of each wave function combining the physical boundary of the plate.A rectangular thin orthotropic plate was introduced as a numerical example.The wave-based technique for predicting the vibration of the thin orthotropic plate was validated by comparing with series solution, and the computational efficiency of the proposed method is much higher than the finite element method for thin orthotropic plates in mid-frequency based on convergence analysis.

Key words： thin orthotropic plate；vibration；wave-based technique；mid-frequency

Received: 05 May 2017 Published: 15 December 2018

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	Articles by authors
	LAI Shiyang1
	XIA Xiaojun2
	XU Zhongming3

Cite this article:

LAI Shiyang1,XIA Xiaojun2,XU Zhongming3. Wave-based prediction technique for thin orthotropic plate vibration[J]. JOURNAL OF VIBRATION AND SHOCK, 2018, 37(24): 244-249.

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http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2018/V37/I24/244

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