摘要
针对索膜结构裁剪分析中的测地线生成提出了一种全新的非线性有限元法。首先根据最小势能原理证明了两端固定的几何非线性等张力索在膜面上自由滑动时的静力平衡位置,即为膜面上两个固定点之间的短程线-测地线;其次提出了在每个索单元节点处添加垂直膜面的足够长度的几何非线性二力杆来保证等张力索能够在膜面上自由滑动,采用非线性有限单元法求解其静力平衡位置。提出的方法具有思路明确,收敛稳定,计算速度快和易于实现等特点。
A nonlinear finite element method is proposed for geodesic line generation in cutting pattern for cable-enforced membrane structures. The minimum potential energy principle is used to prove that the balance of equal-tension geometrical nonlinear cables is achieved at the geodesic line when it slides freely on membrane surface. Two-force support rods normal to membrane surface on every node of cable are appended so that the cable can slides freely on membrane surface. The nonlinear finite element method is used to get the equilibrium location of the cable. The method is shown to exhibit good and rapid convergence.
出处
《工程力学》
EI
CSCD
北大核心
2005年第2期33-37,32,共6页
Engineering Mechanics
