摘要
该文以含有弹性地基的Timoshenko梁和Euler梁为模型,提出厚薄梁通用降阶单元,采用泛函变分法构造了内置的厚薄梁通用的误差估计器,并构建了自适应有限元计算方法。该降阶单元继承了降阶单元在其他应用领域中的优点,对于厚薄梁,均可以给出按最大模度量的、满足用户指定的误差限的降阶单元解答。文中给出一系列典型算例以验证本法的可行性、有效性和可靠性。
This paper proposes a unified reduced element applicable to both thick and thin beams based on Timoshenko-and-Euler beam theories.By using the energy variational approach,the built-in maximum error estimator is constructed and the corresponding adaptive analysis algorithm is developed.The proposed element inherits the advantages of reduced elements in other applications,and can provide,for both thick and thin beams,desired reduced element solutions that satisfy the user-preset error tolerances by the maximum norm.A series of numerical examples are given to show the feasibility,effectiveness and reliability of the proposed method.
作者
袁全
袁驷
YUAN Quan;YUAN Si(Key Laboratory of Civil Engineering Safety and Durability of China Education Ministry,Department of Civil Engineering,Tsinghua University,Beijing 100084,China)
出处
《工程力学》
北大核心
2025年第S1期23-29,共7页
Engineering Mechanics
基金
国家自然科学基金项目(51878383,51378293)。
