弹性矩形薄板受迫振动的功的互等定理法(Ⅰ)——四边固定的矩形板和三边固定的矩形板

付宝连; 李农

弹性矩形薄板受迫振动的功的互等定理法(Ⅰ)——四边固定的矩形板和三边固定的矩形板

付宝连¹,
李农²

1.
燕山大学;
2.
洛阳工学院

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出版历程
- 收稿日期: 1989-09-08
- 刊出日期: 1989-08-15

The Method of the Reciprocal Theorem of Forced Vibration for the Elastic Thin Rectangular Plates(Ⅰ)——Rectangular Plates with Four Clamped Edges and with Three Clamped Edges

Fu Bao-lian¹,
Li Nong²

1.
Yanshan University, Qinhuangdao;
2.
Luoyang Technology Institute, Luoyang

摘要

摘要: 本文将功的互等定理法(MRT)推广于求解在简谐干扰力作用下矩形板的稳态响应.给出了各种边界条件矩形板的一系列封闭解并提供了一些有实用价值的图表.功的互等定理法(MRT)是求解在各种简谐干扰力作用下的矩形板稳态响应的一个简便、通用的方法.本文包括三部分:(Ⅰ)四边固定的矩形板和三边固定的矩形板;(Ⅱ)二邻边固定的矩形板;(Ⅲ)悬臂矩形板.我们准备分三次陆续发表它们.

Abstract: In this paper the method of the reciprocal theorem(MRT) is extended to solve the steady state responses of rectangular plater under harmonic disturbing forces. A series of the closed solutions of rectangular plates with various boundary conditions are given and the tables and figures which have practical value are provided.MRT is a simple, convenient and general method for solving the steady stale responses of rectangular plates under various harmonic disturbing forces.The paper contains three parts:(Ⅰ) rectangular plates with four damped edges and with three clamped edges;(Ⅱ) rectangular plates with two adjacent clamped edges;(Ⅲ) cantilever plates.We arc going to publish them one after another.

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参考文献(16)

[1]	Stanisic,M.M.,Dynamic response of a diagonal line-loaded rectangular plate,AIAA Journal,15,12(1977).
[2]	Gorman,D.J.,Dynamic response of a rectangular plate to a bending moment distributed along the diagonal,AIAA Journal.20,11(1982).
[3]	Dill,E.H.and K.S.Pister,Vibration of rectangular plate and plate systems,Proceedings of the third U.S.National Congress of Applied Mechanics(1958).
[4]	Susemih,E.A and P.A.A.Laura,Forced vibration of thin elastic rectangular plate with edges elastically restrained against rotation,Journal of Ship Research,21,1(1977),24-29.
[5]	Donaldson,B.K.,A new approach to the forced vibration of thin plates.Journal of Sound and Vibration 30,4(1973),397-417.
[6]	Новадкий В.,Динамика Сооружений,Леревод с Лолвского(1967)
[7]	张福范,《弹性薄板》,第二版,科学出版社(1981).
[8]	曹国雄,《弹性矩形薄板振动》,中国建筑出版社(1983).
[9]	付宝连,一个求解位移方程的新方法,东北重型机械学院第三届学术交流会(1981)
[10]	付宝连,应用功的互等定理求解复杂边界条件矩形板的挠曲面方程,应用数学和力学,3,3(1982),315-325
[11]	付宝连,关于功的互等定理与迭加原理的等犷性,应用数学和力学,6,9(1985),813-818.
[12]	付宝连,应用功的互等定理计算矩形弹性薄板的自然频率,应用数学和力学,6,11(1985),985-998
[13]	朱雁滨、付宝连,再论在一集中载荷作用下悬臂矩形板的弯曲,应用数学和力学,7,10(1986),917-928
[14]	付宝连,关于求解弹性力学平面问题的功的互等定理法,应用数学和力学,10,5(1989),437-446.
[15]	付宝连,应用功的互等定理法求立方体的位移解,应用数学和力学,10,4(1989),297-308.
[16]	李农、付宝连,应用功的互等定理计算弹性圆薄板挠曲面方程,应用数学和力学,8,9(1988),836-842.