采用界面单元协调子结构方法研究

发布时间：2018-05-28 07:31

本文选题：子结构混合试验 + 子结构协调　；参考：《工程力学》2017年S1期

【摘要】：子结构混合试验在研究复杂工程时,需要针对不同物理的物理性质划分子结构,比如土和结构,这些子结构的单元类型和网格划分通常不同,为了使混合试验更灵活地划分子结构,该文提出利用界面单元方法,基于广义变分原理,将两子域凝聚在边界上的刚度矩阵与界面单元刚度矩阵组装成耦合结构的整体刚度矩阵,进而求解新的平衡方程即可得到各个耦合子域的位移。同时,将传递函数的概念引入界面单元方法中,通过二维自由度和三维自由度之间的传递函数,解决了具有不同自由度单元的子结构之间的耦合问题。最后,利用板梁受竖向地震动作用的案例验证了界面单元和传递函数结合的方法的可行性和精确性。
[Abstract]:When studying complex engineering, substructure mixing tests require molecular structures, such as soil and structure, for different physical properties. The substructures are usually of different types of units and meshes. In order to make the mixed test more flexible in describing the molecular structure, an interface element method based on the generalized variational principle is proposed in this paper. The stiffness matrix condensed on the boundary between the two subdomains and the stiffness matrix of the interface element are assembled to form the global stiffness matrix of the coupled structure, and the displacement of each coupling subdomain can be obtained by solving the new equilibrium equation. At the same time, the concept of transfer function is introduced into the interface element method, and the coupling problem between substructures with different degrees of freedom is solved by the transfer function between two-dimensional and three-dimensional degrees of freedom. Finally, the feasibility and accuracy of the method combined with interface element and transfer function are verified by the case of plate beam subjected to vertical ground motion.
【作者单位】：中国地震局工程力学研究所地震工程与工程振动重点实验室;
【基金】：国家自然科学基金项目(51161120360,51378478) 国家国际科技合作专项项目(2014DFA70950)
【分类号】：TU317

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