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本文从壳体位移的三个微分方程出发，采用付立叶积分变换的基本解，利用加权残值法推导了几何非线性边界积分方程。这种基本解的壳体边界元法类似于板的非线性边界元法，各种变量物理意义明确，能方便地处理各种复杂边界条件及有开口情况。文末算例说明本文方法的可行性、收敛性和精确性，并与二变量边界单元法或有限元结果相比较，吻合较好。
In this paper, based on the three differential equations of shell displacement, the basic solution of Fourier integral transform is adopted. The geometric nonlinear boundary integral equation is deduced by the weighted residual method. The shell boundary element method of this basic solution is similar to the non-linear boundary element method of the plate. The variables have clear physical meanings and can easily deal with various complex boundary conditions and open conditions. The example at the end of this paper illustrates the feasibility, convergence and accuracy of the proposed method, and it is in good agreement with the two-variable boundary element method or the finite element method.