Geometric Non-linearity of Cracked Beam Element Based on Co-rotational Procedure
The existing finite element software mainly uses solid and shell elements of the preset crack to simulate the bending effect of the crack structure but not the beam element.Therefore,in the simplified computational model based on the Euler-Bernoulli theory,the Dirac-δ function was introduced into the beam element's curvature function to represent the crack,the displacement distribution function were obtained.Then,the cracked beam element was proposed by deriving the strain matrix and the element stiffness matrix.Based on the theory of co-rotational coordinate method,the geometric nonlinear crack beam element considering crack damage was further developed,and the specific algorithm and process of the element were given.Using the finite element solution framework developed by the research group,the crack beam element and the co-rotational crack beam element were realized in the program.Through typical examples,the effects of crack location,crack depth and external load on the bending performance of cracked beams were compared and analyzed.The results show that the element can accurately describe the deflection change of the crack structure.At the same time,compared with the existing elements that simulate the bending deformation of the crack structure,the accuracy of the proposed crack beam and the co-rotational crack beam is improved by about 1％and 4％respectively,and can be degraded into a non-destructive beam element and a geometric nonlinear beam element.
万方数据
维普
