基于区间参数摄动法的黏弹性区间有限元研究

对线性静力区间有限元应力区间计算方法进行了评述,认为将含有区间参数的高斯点应力在区间参数均值处进行Taylor展开,计算得到的应力区间扩张不明显.将区间分析方法应用于黏弹性问题分析,推导了黏弹性问题的区间参数摄动法计算公式,研制了相应的黏弹性区间有限元计算程序.通过算例分析认为:采用区间参数摄动法进行黏弹性问题分析是可行的;随着位移均值的增加,位移离差也逐渐增大;位移区间最终随着位移均值的稳定而逐渐趋于稳定.

Study on viscoelastic problem based on the interval parameter perturbation method

The methods of calculation of interval stress were reviewed,and the method used to calculate the stress interval of a gauss point with Taylor expansion at the mean interval parameter is better than others.The interval analysis method was used to analyze the viscoelastic problem.The formula of the interval parameter perturbation method for the analysis of the viscoelastic problem was deduced,and the finite element program for the viscoelastic problem based on the interval parameter perturbation method was developed.A numerical example shows that it is feasible to analyze the viscoelastic problem with the interval parameter perturbation method.It is also indicated that the displacement deviation increases with the average displacement,and that the displacement interval gradually stabilizes with the stability of average displacement.