基于无厚度Goodman单元的粘弹性人工边界模拟
Simulation of viscous-spring artificial boundaries on the basis of zero-thickness Goodman element

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.
The stiffness and damping matrixes of 3D consistent artificial boundary are deduced through viscous-spring artificial boundary theory. Using thickness of the boundary element has little effect on the results，the zero-thickness Goodman element is developed as a new simulation method of consistent viscous-spring artificial boundary. The viscous-spring boundary element is simulated by the zero-thickness Goodman element，which is verified through the example of the half infinite space and uniform half space problems. The results show that this method is simple，practical，and can get enough accuracy. Compared with thickness of the boundary element，the zero-thickness Goodman element conforms to the actual situation，which the boundary element is no thick，have perfect theory and well adaptability to the possible irregular boundary conditions