基于无厚度Goodman单元的粘弹性人工边界模拟

基于粘弹性人工边界,推导了三维一致粘弹性人工边界单元的刚度矩阵和阻尼矩阵.利用边界单元厚度对计算结果影响不大,引入了一种新的一致粘弹性单元的模拟方法,即无厚度Goodman单元.基于无厚度Goodman单元对一致粘弹性边界单元进行模拟,并通过半无限空间和均匀半空间的算例进行验证.结果表明,使用无厚度Goodman单元实现的一致粘弹性边界单元简单、实用性强,并且可以得到足够的精度.相比于有厚度的边界单元,无厚度Goodman单元符合边界单元无厚度的实际情况,理论完善,且对于可能存在的边界不规则情况适用性强.

Simulation of viscous-spring artificial boundaries on the basis of zero-thickness Goodman element

The stiffness and damping matrixes of 2D and 3D consistent artificial boundary are deduced through viscous-spring artificial boundary theory. Using the boundary element thickness has little effect on the results,zero-thickness Goodman element is developed as a new simulation method of consistent viscous-spring artificial boundary. Based on zero-thickness Goodman element to simulate the viscous-spring boundary element, and to verify through the half infinite space and uniform half space problems. The results show that this method is simple,practical,and can get enough accuracy. As can be seen the superiority of consistent viscous-spring artificial boundary during the dynamic calculation.