摘要
用罚函数法分别处理了接触区的法向和切向接触条件，从而由变分原理给出了用有限无法解算有摩擦、有间隙弹性接触问题的公式系统。并给出了算例。用该方法得到的计算结果与解析解取得了很好的一致。进而，用上述方法和相应的ＦＯＲＴＲＡＮ程序解决了一些工程实际中的三维接触问题。在求解过程中，由于应用了有限无法的超收敛理论，在不增加工作量的前提下，进一步提高了计算精度。
By using the penalty function, contact conditions at normal and tangential directions in the con-tact zone are treated respectively. Meanwhile, the formulae of FEM are suggested to solve elastic contactproblem with friction and clearance by means of the variational principal. The numerical example is presented ,and the result with the method mentioned in this paper comports with the analyzing solution. Furthermore,several 3-D contact problems from engineering structures are solved with the above mentioned procedure andthe corresponding FORTRAN program. In the course, because superconvergence theory of FEM is used, weimproved the computing precision without adding workload .
出处
《河北工业大学学报》
CAS
1999年第2期63-67,共5页
Journal of Hebei University of Technology
关键词
有限元法
接触问题
数值计算
工程结构
弹性力学
FEM, Contact problem, Friction, Penalty function, Superconvergence theory
