【摘要】 基于基面力的概念,并结合Euler角的位移描述方法,提出了适用于几何非线性计算的空间6结点余能基面力单元.使用MATLAB语言编程并对典型梁、板结构进行弹性大变形数值模拟.由计算结果可以看出,基于余能原理的基面力元法(BFEM)在计算构件的空间大变形时有较好的计算精度,对比传统有限元计算方法具有网格尺寸影响小和抗畸变能力强的特点,有良好的计算性能.更多还原

【Abstract】 Based on the base force element method(BFEM) and the principle of complementary energy, a 6-node spatial solid unit was proposed for spacial geometrically nonlinear calculation, and the Euler angles were used to describe the displacement. MATLAB was used to program and simulate the elastic large deformation problem of typical beam and plate structures. The calculation results show that, the finite element model based on the BFEM and the complementary energy principle has good calculation accuracy for the spatial geometrically nonlinear components. Compared with the traditional finite element method, the model has the characteristics of smaller mesh size effects and stronger anti-distortion ability.更多还原