基于Maxwell模型的有限元粘弹性位移分析

Analysis of Viscoelastic Displacement for Finite Element Based on Maxwell Model

利用基于Maxwell模型的围岩位移的粘弹性解析解,建立了弹性模量随时间变化的关系式,并将该式应用到有限元中,得到了有限元的粘弹性位移递推公式,可以方便准确地对位移的发展做出预测。最后将该方法应用到工程实际中,计算的位移与实测位移能很好吻合,从而证明该方法是有效的。

Making use of the analytic solution of viscoelastic displacement of surrounding rock based on Maxwell model, a relational expression between elastic modulus of surrounding rock and time is established. The expression is applied into infinite element, and a recursion formula of infinite element for viscoelastic displacement of surrounding rock is obtained. It can be used to predict the viscoelatic displacement development fast and accurately. Finally this method is employed into an actual engineering, and the calculated values of displacement agree well with the measured ones, so the effectiveness of this method is prove.