高阶流形方法在地下结构杆梁计算中的应用

Computation of Beam and Truss for Underground Structure Using High-order Manifold Method

用传统的有限元网格和流形方法的高阶覆盖位移函数来进行地下结构的杆、梁单元计算,保证了线单元模拟的数值精度,同时又克服了常用的杆、梁线单元计算位置与实际位置不相符合从而带来计算误差和结构设计不便等缺点,提供了一种解决结构数值计算的较好的途径。算例结果表明了文中理论和方法的正确性和有效性。

The inner force of the line element for underground structure have been calculated using the traditional finite element mesh and high- order manifold method to guarantee the numerical precision of the line element and overcome the disadvantages due to the geometry error between the actual position and computational position of the beam and truss element in common use. The computational method of the line element proposed in this paper is a preferable choice for structure numerical analysis. Numerical results indicate that the theory and programs are accurate and effective.