摘要
本文利用修正迭代法求出了环形薄板的轴对称大幅度自由振动的一种新的解析解,并由此导出了环板的振幅和振频的解析关系式.本文揭示了修正迭代法在板的大幅度振动问题研究中所潜在的很大的优越性.
A pure analytic solution of the axisymmetric large amplitude free vibration of thia annular plates is presented in this paper. By using the modified iteration method, we derive an analytic relation for the amplitudes vs. frequencies of vibrations. The present paper shows the great potentiality of this method to tackle the large amplitude vibration problems of plates.
出处
《应用数学和力学》
CSCD
北大核心
1991年第6期547-556,共10页
Applied Mathematics and Mechanics
关键词
环形板
薄板
大幅度
振动
annular plate, large amplitude, vibration
