摘要
本文以弹性动力学的基本方程为基础，推导出厚板的控制方程·给出了在横向强迫力作用下，厚板的应力、位移的动力响应·得出厚板的振动特征是由对称振动、反对称振动和剪切振动的三种模式组成·最后，将简支厚方板作为实例导出自振频率的特征方程，数值计算结果与经典理论、中厚板理论的结果作了比较·
n this paper, based upon the basic equations of three dimensional theory of elasto_dynamics, the governing differential equations of thick plate have been formulated. The dynamic response of stress and displacement of thick plate subjected to the transversed forced are obtained. It is shown that the vibrational characters of thick plate consist of three modes: thickness shear mode, symmetric mode and anti_symmetric mode. The characteristic equations of simply supported thick plate are derived and the comparison of the free vibration frequencies based on the classic theory, middle thickness plate theory and three dimensional elasticity theory are given.
出处
《应用数学和力学》
CSCD
北大核心
1998年第7期571-585,共15页
Applied Mathematics and Mechanics
基金
国家教委固体力学开放研究实验室资助
