【作者】 周凌远； 李彤梅；

【Author】 Zhou Lingyuan Li Tongmei (School of Civil Eng,Southwest Jiaotong University,Chengdu 610031 China)

【机构】 西南交通大学土木工程学院；

【摘要】 针对实体单元大位移、大转动、小变形的非线性有限元分析问题,提出了基于CR列式的非协调实体单元几何非线性问题计算方法,这种方法利用更新拉格朗日列式建立结构的平衡方程,并导出实体单元的刚度矩阵。在求解过程中,利用CR列式的原理,采用大转动理论计算更新后的单元坐标系,通过扣除结构位移中由于转动引起的刚体位移,从而得到结构的变形,并引入小变形理论,计算单元的内力。通过编制程序对一空间弯梁进行分析证明本文的计算方法的准确性。更多还原

【Abstract】 A co-rotational formulation for geometrically nonlinear finite element analysis of solid is presented. In this formulation,a standard updated lagrangian formulation is adopted to obtain the tangent stiffness matrix and equilibrium equation of solid element.the finite rotational computation method is applied in computation of new element coordinates system in solution procedure,and the rigid displacements caused by rotation are discounted from total displacements to get pure deformation,also,the small-strain theory is adopted to evaluate the increment of stress in the element at current time,a numerical example illustrates the accuracy and efficiency of this method.更多还原