[1]许琪楼,王仁义,常少英..四边支承矩形板自由振动的精确解法[J].郑州大学学报(工学版),2001,22(01):1-5.[doi:10.3969/j.issn.1671-6833.2001.01.001]
　Xu Qilou,Wang Renyi,Chang Shaoying.Precise solution for free vibration of rectangular plates supported on four sides[J].Journal of Zhengzhou University (Engineering Science),2001,22(01):1-5.[doi:10.3969/j.issn.1671-6833.2001.01.001]
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四边支承矩形板自由振动的精确解法()
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
22卷
期数:
2001年01期
页码:
1-5
栏目:
出版日期:
1900-01-01

文章信息/Info

Title:
Precise solution for free vibration of rectangular plates supported on four sides
作者:
许琪楼; 王仁义; 常少英.
郑州工业大学土木建筑工程学院,, 北京国电华北电力工程有限公司,
Author(s):
Xu Qilou; Wang Renyi; Chang Shaoying
关键词:
弹性薄板;  自由振动;  精确解
Keywords:
DOI:
10.3969/j.issn.1671-6833.2001.01.001
文献标志码:
A
摘要:
提出矩形薄板振动主振方向的概念，在主振方向上矩形板振动波形是唯一的，由此建立了四边支承矩形板统一的振形函数表达式，并推导出板自由振动的频率方程及相应的振形曲线，除一对边简支、一对边固定矩形板和三边简支、一边固定矩形板仅发生一对边简支方向为主振方向的振动外，其余板均存在二个主振方向的振动.
Abstract:
The concept of the main vibration direction of rectangular plate vibration is proposed, and the vibration waveform of rectangular plate is unique in the main vibration direction, so that the unified vibration function expression of the four-sided supporting rectangular plate is established, and the frequency equation of the free vibration of the plate and the corresponding mode shape curve are derived, except for a pair of side simple branches, a pair of side fixed rectangular plates and three-sided simple branches, and one side fixed rectangular plate only occurs a pair of side simple branch directions of vibration in the main vibration direction, the rest of the plates have two main vibration directions.

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更新日期/Last Update: 1900-01-01