Finite element analysis of plane bar system structure based on python
Based on the Python program,two mechanical objects,discontinuous displacements of bar ele-ment and ideal rigid rods,are associated and unified.Then the finite element model analysis of the planar bar system structure is carried out,and a computational mode of centralized processing of degrees of free-dom based on"variable tagging"is realized.Based on the principle of virtual work,the load transfer theo-rem of the rigid body is introduced and proved,which elucidates that within the finite element built-in al-gorithm,the process entails an inherent"stiffening"treatment of element stiffness matrices when handling coupled elements,rigid rods,and the omission of specific degrees of freedom.The analysis of a numerical example shows that the computational mode of"variable tagging"and the"stiffening"treatment of the el-ement stiffness matrix have the characteristics of universality and unity of mechanical model,feasibility of programming,and reliability of results,which can solve the modeling problem of arbitrary bar structure in plane.The results show that"master-slave nodes","rigid rods"and other modeling methods have impor-tant participation value for advancing finite element methodologies,particularly in finite element secondary development,large deformation,and nonlinear functional expansion.Moreover,it is feasible to apply the Python program to structural finite element analysis.
planar bar system structurePythonfinite element analysiscoupling elementmaster-slave relation
万方数据
维普
