Geometric nonlinear tangent stiffness matrix with uniform expression for plane truss, beam and plane elements

摘要：

The calculus of variations is employed to derive the geometric nonlinear tangent stiffness matrices for truss, beam and plane elements by considering the large deformation and small strain based on the virtual work principle. It is found that the stiffness matrices can be written as a uniform expression. Then, a FEM program is developed. A beam structure is calculated by considering the structural geometric nonlinearity to justify the validity of the proposed uniform expression.

关键词： FEM Tangent stiffness matrix Calculus of variations Geometric nonlinear

作者: Jihua Deng Xudong Shao Songbai Cai

作者单位: School of Bridge and Structural Engineering, Changsha University of Science and Technology, Changsha Hunan University, Changsha 410082, China Hunan Normal University, Changsha 410082, China

会议类型: 国际会议

会议名称: 国际断裂力学2007年会(Fracture Mechanics and Applications 2007)

会议地点: 长沙

会议语种:英文

页码: 195-200

在线出版日期: 2007-11-01（万方平台首次上网日期，不代表论文的发表时间）