分布塑性梁柱单元非线性分析方法研究  

Study on Nonlinear Analysis Methods of Distributed Plasticity Beam Elements

作　　者：江卫国[1] 夏勇[1] 陈忠范[2] 程文瀼[2] 

机构地区：[1]合肥学院建筑工程系,安徽合肥230022 [2]东南大学土木工程学院,江苏南京210096

出　　处：《工程抗震与加固改造》2008年第6期49-54,共6页Earthquake Resistant Engineering and Retrofitting

基　　金：合肥学院引进人才项目(RC032)

摘　　要：在混凝土杆单元非线性分析方面,已提出了很多有别于刚度法的分析方法,如各种分段的变刚度法和纤维模型等,加上各自的求解过程和不同的本构关系引入的方法,使得有必要对这类方法进行研究和总结。本文从平面Euler梁单元微分方程出发,引入力插值函数,分析了求解过程中单元上的力、变形以及它们的变化过程,采用数值积分推导了单元刚度矩阵,分析了一些方法的思路及异同点,最后说明了几种引入本构关系的途径及优缺点。In the nonlinear analysis of concrete structural models with beam finite-element, methods differing from stiffness methods had been put forward, such as varying stiffness beam element models with different subsections and fiber beam element models, etc.. The idiographic resolving strategies and the different considerations about the section constitutive relation also made it necessary to study and summarize on these methods. In this paper, based on the differential equations of Euler beam element and using force interpolation function, the force, displace acted on elements and their changing process are analyzed, and the element softness matrix is founded by digital integration. The ideas, similarities and differences of some methods are analyzed. Lastly, Several approaches of using the section constitutive relation and their characteristics are explained.

关 键 词：混凝土 有限元 非线性分析 变刚度梁单元 纤维梁单元 

分 类 号：TU375[建筑科学—结构工程] TU313