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采用摄动有限元法分析了板和壳体大挠度问题．摄动法可以将非线性问题转化为多个线性问题求解．有限单元法可以处理各种复杂边界条件和几何形状的力学问题．这两种方法的结合──摄动有限元法，在分析复杂非线性问题时，避免了单独使用有限单元法或摄动法所产生的困难．本文采用全量理论导出了摄动有限元的基本方程．通过实例计算，取得了较好的效果．
Perturbation finite element method was used to analyze the large deflection of plate and shell. The perturbation method can transform nonlinear problems into multiple linear problems. The finite element method can handle the mechanical problems of various complex boundary conditions and geometric shapes. The combination of these two methods, Perturbation Finite Element Method, avoids the difficulties of using the finite element method or the perturbation method alone when analyzing complex nonlinear problems. In this paper, the fundamental equation of the perturbation finite element is derived using the full-quantity theory. By example calculations, good results have been achieved.