矩形薄板弹性振动的一般解析解

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

A General Analytical Solution for Elastic Vibration of Rectangular Thin Plates

摘要: 本文建立了矩形薄板弹性横向自由振动位型函数微分方程的一般解,可以求解任意边界矩形薄板的振动问题.以四边自由矩形板为例求解了板的频率及其振型.

Abstract: A general solution of differential equation for lateral displacement lunction of rectangular elastic thin plates in free vibration ix established in this paper.It can be used to solve the vibration problem of rectangular plate with arbitrary boundaries.As an example, the frequency and its vibration mode of a rectangular plate with jour edges free have been solved.

[1]	Gorman,D.J.,Free vibration analysis of the completely free rectangular plate by the method of superposition,Journal of Sound and Vibration,57(1978).
[2]	Timoshenko,S.,Vibration Problems in Engineering,P.Van Nostrand Company,New York(1955).