【摘要】 以三维连续体的虚功增量方程为基础,采用平动和转角位移分别插值的方法,导出了梁结构大位移、大转动问题内力分析的 UL(Updated Lagrangian Formulation)法。考虑了轴向、剪切和弯曲效应,提出了新的几何刚度矩阵。算例表明,依本文方法编制的程序具有分析结构强几何非线性行为的能力;在满足本文中位移假定(即每次加载增量中转角增量是小量)的条件下,可以描述任意大角度的刚体转动。更多还原

【Abstract】 Based on the virtual work increment equation of the three-dimensional continuum,and using interpolating method for the translation and rotation respec- tively,an updated lagrangian formulation for large displacement and rotation analy- sis of beam structures is developed.Considered the effects of axial,shearing and flexural deformations,a new type of geometric stiffness matrix is derived.Numeri- cal solution shows that the program developed upon the formulation has the ability to analyze the strong non-linear behavior of structures.Under the assumption that rotational increment in every step is small,the problem in arbitrarily large rotations is able to be solved.更多还原