摘要
本文运用广义函数论处理δ函数的导数,推演得到了厚板动力影响系数。考虑厚板材料具有强化行为,利用已知弹性解进行厚板弹塑性动力分析。对任意荷载作用下的矩形厚板的弹塑性动力响应给出解的一般表达式。文中以四边简支矩形板为例给出了数值结果,对按改进理论和经典理论所预示的结果进行了比较。本文方法可以用于厚板与连续介质共同作用的场合。
In this paper,the derivative of δ-function is handled by using the generalized function.The dynamic influence coefficient of thick plates is deduced.Considering that the material of thick plates has hardening behaviour,a dynamic response of elasto- plastic thick plates is analysed by using known elastic solutions.The general express- ions for the dynamic response of elasto-plastic rectangular thick plates subjected arbi- trary loads are given,The numerical results for simply supported rectangular thick plates are given herein,The results are compared with those obtained from the impro- ved theory and the classical theory of plates.The method presented in this paper may be extended to the interaction of thick plates with contineous medium.
出处
《振动与冲击》
EI
CSCD
北大核心
1990年第1期1-10,共10页
Journal of Vibration and Shock
基金
中国科学院科学基金资助课题
