结构非线性分析中解路径上的临界点是反映结构承载特性的重要参数。该文基于结构非线性解路径跟踪的弧长法提出一个以解路径弧长为参数,直接求解临界点的Newton法。该算法具有很好的求解精度,适用范围广,对于单重临界点和多重临界点问题均能有效解决。数值算例表明:该文方法准确、可靠、高效。 The critical point on the solution path in structural nonlinear analysis is an important parameter that reflects the bearing characteristics of the structure. In this paper, we propose a Newton method to solve the critical point directly based on arc-length method of structural nonlinear solution path tracking. The algorithm has a good solution accuracy, a wide range of applications, for the single critical point and multiple critical points can effectively solve the problem. Numerical examples show that the method is accurate, reliable and efficient.