规划法在接触分析中的无意义射线解

No-sense ray solution in programming method for contact analysis

利用规划法解接触问题时会遇到无意义射线解的情况。基于参变量变分原理，对这一问题进行了讨论，指出了使这种情况发生的一个原因。除了对常规的互补性条件进行考虑之外，Ｌｅｍｋｅ算法求解时还应考虑一种内互补条件，由此可以避免无意义射线解的情况。

There is a problem that the no-sense ray solution may be obtained for the frictionalcontact analysis when the mathematical programming method is used.Based on theparametricvariational principle,this problem is discussed.The reason why the problem can occur is pointedout.The conclusion is that we need to consider not only the general complementary conditionsbut also the inner complementary conditions when the Lemke's algorithm is adopted.