摘要
梁-柱单元模型是杆系结构有限元分析的基础,现有的塑性铰模型和纤维模型无法兼顾计算精度与效率。该文依托Euler-Bernoulli梁理论,并以塑性理论和数值方法为基础,选用截面组合思想构建截面的轴力与弯矩的屈服面,提出了在截面内力空间上基于轴力与弯矩屈服面进行截面本构积分的平面梁柱单元。通过一悬臂柱的静力弹塑性分析和框架柱的动力弹塑性分析算例,验证了所提出的截面轴力弯矩(NM)耦合单元模型,在计算精度上接近纤维模型,在计算效率上远高于纤维模型。
Beam-column element model is the basis of structural finite element analysis; however, existing plastic hinge model and fiber model can not simultaneously satisfy calculation accuracy and efficiency. Based on Euler-Bernoulli beam theory, theory of plasticity and numerical method, a novel planar beam-column element was proposed in this paper, which was derived through constitution integration of yield surface of sectional axial force and bending moment in sectional internal force space. Both static and dynamic elastoplasticy analyses were implemented for a cantilever column and frame columns respectively. The results show that the calculation accuracy of proposed model is close to fiber model, while the efficiency is much higher than that of fiber model.
出处
《工程力学》
EI
CSCD
北大核心
2014年第4期203-209,共7页
Engineering Mechanics
基金
国家自然科学基金重大国际(地区)合作研究项目(51161120360)
关键词
梁-柱单元
截面NM耦合模型
纤维模型
刚度法
屈服面
beam-column element
section NM coupling model
fiber model
stiffness method
yield surface
