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该文提出一种用于协调子结构的界面单元方法。基于广义变分原理,将两子域的刚度与界面单元刚度组装成耦合结构的整体刚度矩阵,求解新的平衡方程即可得到各个耦合子域的位移。界面单元的意义是对子域引入边界力,并建立边界上平衡关系和位移协调关系。该文利用悬臂梁单轴受拉案例验证了界面单元方法的精确性。为了使得界面单元能够应用到子结构混合试验中,引入静力凝聚与BFGS方法,这样只需通过提取边界上的力与位移即可实现多子域不共节点的边界协调问题。该文最终以悬臂梁案例验证了界面单元在解决非线性静、动力加载工况下的正确性。
This paper proposes an interface unit method for coordinating substructures. Based on the generalized variational principle, the stiffness of two subdomains and the stiffness of interface element are assembled into the global stiffness matrix of the coupled structure. The displacement of each coupled subdomain can be obtained by solving the new equilibrium equation. The meaning of the interface element is to introduce boundary force on the subdomain and establish the balance and displacement coordination relationship on the boundary. In this paper, the cantilever beam uniaxial tension case verified the accuracy of the interface element method. In order to enable the interface element to be applied to the substructure hybrid test, the static coalescence and BFGS methods are introduced, so that the boundary coordination of nodes with multiple subdomains can be achieved simply by extracting the forces and displacements on the boundary. Finally, the case of cantilever is used to verify the correctness of interface element in solving nonlinear static and dynamic loading conditions.