摘要
本文根据作者参与多个有限元软件开发的经验,讨论并给出了满足多种工程需求的通用梁单元的刚度矩阵及其单元载荷向量形成方法,特别是基于柔度法的Euler梁单元、Timoshenko梁单元和变截面梁单元的统一形成方式,以及不同梁端条件下的单元刚度矩阵与载荷向量的统一形成方式,便于工程有限元软件开发人员参考借鉴,并希望能对有限元方法的教学实践有所帮助。
Based on the authors’experience in the development of various finite element software,this paper presents the method of forming the stiffness matrix and the corresponding element load vectors for beam elements to meet the different engineering demands,focusing on the unified formation of Euler and Timoshenko beam elements and variable section beam elements based on the flexibility method,and the unified formation of the element stiffness matrix and the load vector under different beam end conditions.This paper provides a reference for developers in the engineering finite element software industry and to help the teaching of the finite element methods.
作者
陈璞
杜晖
孙树立
傅向荣
CHEN Pu;DU Hui;SUN Shuli;FU Xiangrong(Department of Mechanics and Engineering Science,College of Engineering,Peking University,Beijing 100871,China;College of Water Resources and Civil Engineering,China Agricultural University,Beijing 100083,China)
出处
《力学与实践》
北大核心
2021年第3期446-452,共7页
Mechanics in Engineering
基金
国家重点研发计划(2018YFC0809700)
国家自然科学基金(11472014,11521202,11672362)资助项目。
