材料非线性有限条法在平面壳条弹塑性分析中的应用

Application of material nonlinear finite strip method to elastoplastic analysis of flat shell strip

文章突破传统的梁理论法 ,应用材料非线性有限条法对平面壳条的弹塑性问题进行分析。从非线性问题的牛顿 -拉斐逊迭代解法和虚功原理入手 ,通过引入有限条 ,分析平面壳条的弹塑性问题 ,先推导出构件的切向刚度模量和切向弹塑性模量 ,进而得到构件的荷载 -位移关系方程 ,并编制程序 ,最后举例比较这两种方法 ,验证材料非线性有限条法的可行性和精确性。

This paper deals with the elastoplastic problems of the flat shell strip using material nonlinear finite strip method instead of the traditional solution of Beam Theory. Based on the nonlinear Newton Raphson method and the virtual work principle, by introducing the finite strip , the paper first deduces the tangential elastoplastic matrix and the tangential stiffness matrix, then gains the equation of load displacement and works out the program.Examples are given to compare the presented method and the traditional method and to demonstrate the feasibility and precision of the presented method.