本文采用增量牛顿-莱弗逊法解决非线性有限元问题,对3200m钻机Ⅱ形井架的非线性静力问题进行了研究。分析计算了两种重要工况,并对主要受力构件——井架前、后大腿的非线性解与线性解进行了对比。结果表明:前开口井架部分重要构件有必要按非线性理论进行设计,以确保其工作安全可靠和材料的充分利用。文中介绍的方法也适用于其它塔、桅结构井架的非线性静力分析。 In this paper, an incremental Newton-Rexon method is used to solve the nonlinear finite element problem. The nonlinear static problem of 3200m drilling rig ’s Ⅱ mast is studied. Two important working conditions are analyzed and calculated, and the nonlinear and linear solutions of the main force components - the front and rear thighs of derrick are compared. The results show that some of the important components of the derrick are necessary to be designed according to the nonlinear theory so as to ensure the safe and reliable operation of the derrick and the full utilization of materials. The method described in this article is also applicable to the nonlinear static analysis of derricks in other towers and masts.