【摘要】 本文应用修改的Hellinger-Reissner动力学混合变分原理和Ri?z法.在时域上划分若干子区间,给出了一种新的动力分析近似方法——混合元子区间法.通过采用三次Hermite插值函数逼近.构造出一种单步时间元计算格式.求解薄板振动问题的算例表明,与现有动力分析方法相比,本文方法不仅可获得工程上适用的动位移,还可获得较高精度的动内力.更多还原

【Abstract】 Based on the modified Hellinger-Reissner’s variational principle and the Ritz method,an approximate method called MESM (Mixed Element Subinterval Method) is presented for dynamic analysis. In this method the time domain given is divided into a number of subintervals. By adoption of an approach by cubic Hermite interpolating function,a single-step time element algorithm is constructed. In comparison with the methods available,MESM gives more accurate dynamic internal forces as well as valuable displacements.更多还原