摘要
安定分析能为工程设计和安全评估提供准确可靠的理论依据。该文建立了复杂变化载荷作用下考虑有限随动应变强化结构安定性上限分析的有限元数学规划格式。利用研究结构在基准载荷域各个角点处安定的办法,克服了机动安定定理中对时间积分的困难,采用两面屈服准则分别控制屈服面及屈服面中心的移动量,提出了一种直接迭代算法求解格式,以克服目标函数非线性非光滑所导致的困难。
Shakedown analyses provide a theoretical basis for engineering designs and safety assessments. This paper describes a computational shakedown analysis of an elastic-plastic body with strain-hardening subjected to a set of loads varying within a given domain. The Mises yield criterion was used with the finite element technique for the mathematical kinematic shakedown analysis. A direct iteration algorithm was used to approach the shakedown load factor. The method overcomes the nonlinearity and nonsmoothness difficulties of the objective function so convergence is guaranteed. Numerical examples are presented to illustrate the validity of the method.
出处
《清华大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2004年第2期232-235,共4页
Journal of Tsinghua University(Science and Technology)
基金
全国优秀博士论文专项基金项目(200025)
国家"十五"重点科技攻关专题(2001BA803B03-05)
