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求解弯曲矩形板受迫振动的混合变量法
引用本文:陈英杰,陈杰. 求解弯曲矩形板受迫振动的混合变量法[J]. 力学与实践, 2006, 28(4): 36-40
作者姓名:陈英杰  陈杰
作者单位:燕山大学建工学院,秦皇岛,066004
摘    要:
应用混合变量最小作用量原理,求解了两邻边固定、另两邻边自由弯曲矩形板在均匀谐载作用下的受迫振动问题,得到其受迫振动的稳态解.所获得的计算结果,跟现有文献进行比较,证明其给出的方法是正确的,因此不仅具有重要的理论价值,而且可以为工程实际直接采用.

关 键 词:混合变量  最小作用量  均匀谐载  矩形板  受迫振动
收稿时间:2005-06-28
修稿时间:2005-10-08

THE METHOD OF MIXED VARIABLES FOR FORCED VIBRATIONS OF THE RECTANGULAR BENDING PLATES
CHEN Yingjie,CHEN Jie. THE METHOD OF MIXED VARIABLES FOR FORCED VIBRATIONS OF THE RECTANGULAR BENDING PLATES[J]. Mechanics and Engineering, 2006, 28(4): 36-40
Authors:CHEN Yingjie  CHEN Jie
Affiliation:Yanshan University, Qinhuangdao 066004, China
Abstract:
In this paper, the principle of the least action with mixed variables is used for forced vibrations of the rectangular bending plates with two adjacent sides clamped and the others free under the action of a uniform load, and the steady solution is obtained. A comparison with results from literature shows the validity of the present method.
Keywords:mixed variables   the least action   uniform load   the rectangle plates   forced vibration
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