四边固支球面扁壳的振动解析法

ANALYTIC METHOD OF THE VIBRATION OF THE SHELLOW SF'HERICAL SHELL WITH FOUR FOUNDARY FIXED

本文用解析法研究了四边固支球面扁壳的自振特性,并求出了基本频率和一系列固有振动频率。本文计算证明该壳的基频可近似用无矩理论计算;壳厚的变化并不十分影响基本频率的值,本文用解析法研究了该种壳的强迫振动。

This paper the charactcrstic of the free vibration of the shallow spherical shell with four boundary fixed is analyzed by means of the analytic method. The free vibration basic frequency and a sericc of the inherent frequencies of the shell are obtained, The numerical example shows that the basic frequency of the shell can be calculated by means of 'the membrane theory' approximatly and thai the effect of the variation of the shell thickness on the value of the basic frequency is not serious. The forced vibration of the shell is also studeced by means of analytic method.