中文摘要：

为分析悬臂梁的几何非线性行为,用向量式有限元法将结构离散成质点系以及质点间的连接单元.根据牛顿第二定律得到每个质点在内力和外载荷作用下的运动方程以及悬臂梁在每个时刻的变形用该时刻质点系的运动表示.结合刚架元的节点内力和等效质量得出质点位移的迭代计算公式,采用FORTRAN编制计算程序,对悬臂梁分别承受集中载荷和弯矩下的大变形进行算例分析.计算结果与理论解吻合较好,表明该方法能很好地模拟分析悬臂梁的大变形.

英文摘要：

To analyze the geometric nonlinear behaviors of cantilever beams,vector form intrinsic finite element method is used to discretize structures into particle systems and linkage elements among particles.According to Newton second law,the motion equations of each particle subjected to internal forces and external forces are obtained,and the cantilever beam deformation at each moment is represented by particle system motion happening simultaneously.The iterative formula of particle displacement is obtained according to internal nodal force and equivalent mass of frame elements,and the large deformations of cantilever beams subjected to concentrated load or bending moment are analyzed by a computation procedure which is programmed by FORTRAN.The computation results are consistent with the theoretical solution.The method can be used to perform the simulation and analysis of large cantilever beam deformation.