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连续矩形板横向振动固有特性的计算
引用本文:周叮. 连续矩形板横向振动固有特性的计算[J]. 工程力学, 1992, 9(3): 124-130
作者姓名:周叮
作者单位:华东工学院
摘    要:本文给出了中间有任意个平行于边界的单向和双向连续支承矩形板的横向振动特性的一个近似算法,将基函数选择为梁函数与多项式函数的叠加,利用李兹法近似求解固有频率,公式简单、易程序化,且有较好的精度。本文最后给出了几个算例,并与已有结果进行了比较。

关 键 词:连续矩形板  振动分析  固有特性

THE CALCULATION OF NATURAL CHARACTERISTICS OF TRANSVERSE VIBRATION OF CONTINUOUS RECTANGULAR PLATES
Zhou Ding. THE CALCULATION OF NATURAL CHARACTERISTICS OF TRANSVERSE VIBRATION OF CONTINUOUS RECTANGULAR PLATES[J]. Engineering Mechanics, 1992, 9(3): 124-130
Authors:Zhou Ding
Affiliation:East China Institute of Technology
Abstract:This paper presents an approximate method of solving natural characteristics of transverse vibration of continuous rectangular plates with arbitrary intermediate supports parallel to the boundaries in one or two ways. Ritz method is used approximately to calculate natural frequencies by selecting the combination of vibrating beam functions and polynomial as the basis functions. Formulae are easy to program. Finally, some numerical results are given and compared with those obtained by other methods, which shows this method has good accuracy.
Keywords:continuous rectangular plate  - vibration analysis  natural characteristics  
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