考虑剪切和扭转变形的有限质点法纤维梁单元研究  

A FIBER BEAM ELEMENT FOR THE FINITE PARTICLE METHOD CONSIDERING SHEAR AND TORSION DEFORMATON

作　　者：林贤宏 罗尧治[1] 唐敬哲 汪伟 郑延丰[1] 杨超[1] LIN Xian-hong;LUO Yao-zhi;TANG Jing-zhe;WANG Wei;ZHENG Yan-feng;YANG Chao(Space Structure Research Center of Zhejiang University,Hangzhou,Zhejiang 310058,China)

机构地区：[1]浙江大学空间结构研究中心,浙江杭州310058

出　　处：《工程力学》2022年第5期34-43,共10页Engineering Mechanics

基　　金：国家重点研发计划项目(2016YFC0800200);国家自然科学基金项目(51778568,51908492,52008366)。

摘　　要：为提高有限质点法分析结构弹塑性问题的精度,该文将纤维梁模型融入有限质点法的计算求解框架中,推导了考虑剪切变形和扭转变形的有限质点法纤维梁单元的质点内力求解公式。该单元采用Timoshenko梁理论描述梁截面变形状态,以单元纯变形分量表示截面上任一点的位移,并结合纤维材料的三维本构关系以考虑弯曲、剪切和扭转变形之间的耦合作用。数值算例的分析结果表明,该纤维梁单元能够有效地模拟结构弹塑性行为,相较于塑性铰法具有更高的精度。To improve the accuracy of the finite particle method(FPM) for solving structural elastoplastic problems, the fiber beam model is combined with the solution framework of FPM. The formulas for solving the particle internal forces of the FPM fiber beam element considering shear and torsion deformation are deduced.The element uses the Timoshenko beam theory to describe the deformation state of the beam section. The displacements of an arbitrary point on the section are determined by the element pure deformation components in the element. The three-dimensional constitutive relationships of fiber materials are used in the element to consider the coupling effects between bending, shear and torsion deformation. Several numerical tests are conducted. The results show that the proposed fiber beam element can effectively simulate the elastoplastic behavior of the structure and shows higher accuracy than the plastic hinge method.

关 键 词：有限质点法 纤维梁单元 弹塑性分析 剪切变形 扭转变形 

分 类 号：TU311[建筑科学—结构工程]