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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。
The article breaks through the traditional theory of beam theory and applies nonlinear finite strip method to analyze the elastic-plastic problem of flat shell. Starting from the Newton-Raphson iterative method and the principle of virtual work for nonlinear problems, the finite element method is introduced to analyze the elasto-plastic problems of flat shells. The tangential stiffness modulus and tangential elastic-plastic modulus are deduced first. Then the equation of load-displacement relationship of the component is obtained, and the program is compiled. Finally, an example is given to compare the two methods to verify the feasibility and accuracy of the material nonlinear finite strip method.