典型边界条件下加筋矩形板的横向振动特性分析

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Abstract The transverse vibration characteristics of stiffened rectangular plates with classical boundary conditions were studied using the energy method.The stiffened rectangular plate was divided into two parts along the interface of the plate and stiffeners.The total energy equation for the transverse vibration of the stiffened plate was established based on the flexural theory for the thin plate and the Euler beam theory for the stiffeners.The first kind of Chebyshev polynomials was used to construct the displacement functions for the stiffened rectangular plate.The eigenvalue equations of the stiffened rectangular plate were derived by using the Rayleigh-Ritz method.Numerical results indicated good convergence of the present method.High accuracy was demonstrated by comparing with the available results in literature and those from the finite element software ANSYS.Any number of frequencies can be obtained with simple calculation.The effects of the position and height of the stiffener on the non-dimensional natural frequency of the stiffened square plates were studied.

Key words： stiffened plates transverse vibration Chebyshev polynomials Rayleigh-Ritz method

Received: 20 February 2019 Published: 15 August 2020

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	Articles by authors
	LI Guorong
	WANG Lei
	HU Chaobin
	ZHOU Ding

Cite this article:

LI Guorong,WANG Lei,HU Chaobin, et al. Analysis of transverse vibration characteristics for stiffened rectangular plates with classical boundary conditions[J]. JOURNAL OF VIBRATION AND SHOCK, 2020, 39(16): 261-266.

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http://jvs.sjtu.edu.cn/EN/ OR http://jvs.sjtu.edu.cn/EN/Y2020/V39/I16/261

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