A Degenerated Plane Truss Model of Base Force Element Method on Complementary Energy Principle

作者：Peng, Yijiang^*; Yang, Xinxin; Li, Ruixue; Ren, Cong

来源：International Journal of Computational Methods, 2018, 15(5): 1850040.

DOI：10.1142/S0219876218500408

• Base force element method
• complementary energy principle
• degenerate plane truss model
• truss structures
• linear elasticity
• geometrically nonlinear

In order to study the performance of base force element method (BFEM), a new 2-node degenerated plane element model based on the BFEM of complementary energy principle is presented for linear elasticity problem and geometrically nonlinear problem respectively in this paper. The plane truss element model can easily be obtained by degenerating from a four-mid-node plane element of the BFEM based on complementary energy principle for linear elasticity problem or geometrically nonlinear problem. The compliance matrix of the rod element model is same as the compliance matrix of the four-mid-node plane element of the BFEM. According to the characteristics of analysis for truss structure, the nodal equilibrium conditions and the displacement coordination conditions of each rod at the nodes have been considered when the compliance matrix of structure is integrated. In order to verify the feasibility of the degenerated plane element model, several truss problems are analyzed and their solutions are compared to the analytical solutions and the numerical results which are calculated with the traditional displacement FEM. It is found that the model has shown high precision and good performance.

• 出版日期2018-8
• 单位北京工业大学