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针对大型土木结构损伤识别优化效率低的问题,提出了子结构虚拟变形方法。虚拟变形方法是一种结构快速重分析的方法,该方法利用单元的虚拟变形模拟结构的损伤,可以在不重新建立有限元模型的情况下,快速计算出结构参数改变后的结构响应。该文基于虚拟变形法的基本思想,对子结构的刚度矩阵进行分解和对损伤后结构运动方程进行整理,推导出利用子结构的虚拟变形刻画损伤的方法,扩展了虚拟变形方法的适用范围;并且给出了虚拟变形和结构响应的相关性计算公式,通过相关性分析提取主要的虚拟变形,减少参与计算的子结构虚拟变形的数目,提高计算效率;最后利用一个五十层框架的数值仿真验证方法的有效性。
Aiming at the problem of low efficiency of large-scale civil structure damage identification and optimization, a sub-structure virtual deformation method is proposed. The virtual deformation method is a rapid structural reanalysis method. The method uses the unit deformation to simulate structural damage, and can quickly calculate the structural response after the structural parameters are changed without re-establishing the finite element model. Based on the basic idea of virtual deformation method, this paper decomposes the stiffness matrix of sub - structure and rearranges the equation of motion of the damaged structure. The method of using the virtual deformation of the sub - structure to describe the damage is derived and the applicable range of the virtual deformation method is expanded. The formula of the correlation between the virtual deformation and the structure response is given. The main virtual deformation is extracted through the correlation analysis to reduce the number of the virtual deformations of the substructures involved in the calculation and improve the computational efficiency. Finally, a 50-layer numerical simulation Verify the validity of the method.