变分原理的建立将有利于压电材料圆柱壳静力学和动力学问题的有限元方法或半解析法的推导。
The establishment of variation-principle is of benefit to deriving the finite element method or semi-analytical solution to the cylindrical shell static-dynamical problems of piezoelectric materials.
将该解析元与有限元相结合，构成半解析的有限元法，可求解任意几何形状和载荷的平面裂纹应力强度因子及扩展问题。
The new analytical element can be implemented into FEM program systems to solve for stress intensity factor and deal with crack propagation problems for plane cracks with arbitrary shapes and loads.
由于边界元法是半解析半数值解法。在解边界积分方程时会遇到解的存在与唯一性问题。
Because the boundary element method is half analytical and half numerical, there exist the problems of the existence and uniqueness of the solutions.
数值计算结果表明本文半解析有限元法具有较好的精度和收敛性。
The numerical results indicate that the semi-analytical finite element method is in high precision and good convergence.
比例边界有限元法（SBFEM）是一种半解析数值分析的新方法。
The Scaled Boundary Finite-Element Method (SBFEM) is a novel semi-analytical technique.
通过算例得出了结构外压失稳的欧拉曲线，验证了半解析有限柱壳条元法的正确性与合理性。
The Euler curve of thin shell structural off, stability due to external water pressure is obtained and the correctness and reliability of the method are proved.
将该解析元与有限元相结合，构成半解析的有限元法，可求解任意几何形状和载荷的基于线性内聚力模型的平面裂纹扩展问题。
The new analytical element can be implemented into FEM program systems to solve crack propagation for plane problems with arbitrary shapes and loads.
样条虚边界元法是针对传统间接奇异边界元法存在的问题而提出的一种半解析半数值方法。
The spline fictitious boundary element method (SFBEM) is a modified method to the conventional indirect singular boundary element method.
本文针对基于有限元分析的拱坝体形优化，采用改进的半解析法进行三维敏度分析。
This paper studies 3-d sensitivity analysis in arch dam shape optimization based on FEM with the Improved Semianalytical Method (ISM).
本文针对基于有限元分析的拱坝体形优化，采用改进的半解析法进行三维敏度分析。
This paper studies 3-d sensitivity analysis in arch dam shape optimization based on FEM with the Improved Semianalytical Method (ISM).
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