[1]许琪楼,许蕾..三边支承一边自由矩形板自由振动分析[J].郑州大学学报(工学版),2003,24(01):5-10.[doi:10.3969/j.issn.1671-6833.2003.01.002]
　Xu Qilou,Xu Lei.Free vibration analysis of free rectangular plate on one side of three-sided support[J].Journal of Zhengzhou University (Engineering Science),2003,24(01):5-10.[doi:10.3969/j.issn.1671-6833.2003.01.002]
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三边支承一边自由矩形板自由振动分析()
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《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]

卷:
24
期数:
2003年01期
页码:
5-10
栏目:
出版日期:
1900-01-01

文章信息/Info

Title:
Free vibration analysis of free rectangular plate on one side of three-sided support
作者:
许琪楼; 许蕾.
郑州大学土木工程学院,河南,郑州,450002, 北京国电华北电力工程有限公司,北京,100043
Author(s):
Xu Qilou; Xu Lei
关键词:
弹性薄板;  自由振动;  振形正交性
Keywords:
DOI:
10.3969/j.issn.1671-6833.2003.01.002
文献标志码:
A
摘要:
板自由振动振形必须具有正交性,采用主振方向排序法建立三边支承一边自由矩形板振形函数表达式可以满足振动微分方程和全部边界条件,又具有振形的正交性.该振形曲线中的振动波形数在主振方向上是唯一的,在另一方向上是不唯一的,振形曲线形状符合板边界条件所能限定的变形形态.通过证明振形正交性的存在,分析振形函数表达式的结构形式,推导不同边界条件矩形板的频率方程,计算板的自振频率及相应振形,并与前人的结果进行了比较,从理论上说明了该方法的正确性.
Abstract:
The plate free vibration shape must have orthogonality, and the expression of the free rectangular plate vibration function expression of the three-sided support side can meet the vibration differential equation and all boundary conditions by using the main vibration direction ordering method, and has the orthogonality of the mode shape. The number of vibration waveforms in this shape curve is unique in the direction of the main oscillation and not unique in the other direction, and the shape of the shape curve conforms to the deformation form that can be defined by the boundary conditions of the plate. By proving the existence of mode shape orthogonality, analyzing the structural form of the mode function expression, deriving the frequency equation of rectangular plates with different boundary conditions, calculating the self-resonance frequency of the plate and the corresponding mode shape, and comparing it with the results of predecessors, the correctness of the method is theoretically explained.

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更新日期/Last Update: 1900-01-01