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本文给出了具有边界约束条件的膜曲面弹性展平最小变形能原理并建立了几何非线性有限元法求解模型，解释了理论模型的物理意义。算例表明，在膜结构的裁剪分析中，应用本文提出的理论方法及求解模型来求解空间膜曲面的展平平面具有理论完整严密、求解方法简单快速、求解结果准确实用的优点。
In this paper, the principle of minimum deformation energy of elastic deformation of membrane surface with boundary constraints is given and the geometric nonlinear finite element method is used to solve the model. The physical meaning of the theoretical model is explained. The numerical examples show that using the theoretical method proposed in this paper and solving the model to solve the flat surface of the space membrane surface has the advantages of complete theory, simple and quick solution, and accurate and practical solution.