基于位移型Gurtin变分原理的非时间步参数时间有限元法

A Non -Time-Step Parameters Time Finite - Element Method by Discretization of Gurtin Variational Principle

本文基于位移型Gurtin变分原理,对时间域进行离散时,采用具有非时间步参数的插值函数逼近广义节点位移,给出了一种新的计算弹性动力学初值问题的非时间步参数时间有限元法,这是一种无条件稳定的计算格式,通过算例,可知本文方法具有计算方法简便、实用和精度较高的特点。

A new time finite - element method based on Gurtin variational principle of displacement model is presented. The interpolation function with non -time -step parameters are introduced to approximate the nodal displacement in time domain. An unconditional stable formula is given. Examples indicate that the algorithm is very simple and applicable in the fields of engineering. And also, the algorithm has a satLsfing accuracy.