First,the equivalent relationship between single-degree-of-freedom structures with active variable stiffness (AVS) systems and special linear structures is established,and the equivalent additional stiffness ratio and...First,the equivalent relationship between single-degree-of-freedom structures with active variable stiffness (AVS) systems and special linear structures is established,and the equivalent additional stiffness ratio and the equivalent additional damping ratio are determined.Then,an approximate mode decomposition (AMD) method is proposed for multi-degree-of-freedom (MDOF) structures with AVS systems.The accuracy of the method is discussed and improved using revising parameters.Simulation results indicate that the AMD method is effective in estimating the maximum relative displacements and the maximum interstory drifts of MDOF structures with AVS systems.The study provides a foundation for the seismic design method of structures with AVS systems.展开更多
被动控制系统调谐质量阻尼器(Tuned Mass Damper,TMD)或调谐液体阻尼器(Tuned Liquid Damper,TLD)刚度相对主体结构非常小,而且通常是非线性的,所以动力时程计算中极易出现病态刚度矩阵。当主体结构未知量个数相当大时,刚度矩阵的病态...被动控制系统调谐质量阻尼器(Tuned Mass Damper,TMD)或调谐液体阻尼器(Tuned Liquid Damper,TLD)刚度相对主体结构非常小,而且通常是非线性的,所以动力时程计算中极易出现病态刚度矩阵。当主体结构未知量个数相当大时,刚度矩阵的病态很难避免。为了使病态方程得到改善,本文利用主体结构振型叠加法降低方程阶数。在完成降阶后,根据Newmark-β法推导了计算地震作用下每一时刻结构响应的公式,并将整个算法使用MATLAB编译为程序。通过与已有文献中ABAQUS模拟结果的对比,得出误差在2.9%~8.4%范围内,说明本算法可以提高计算效率,具有较高的精确度。展开更多
文摘First,the equivalent relationship between single-degree-of-freedom structures with active variable stiffness (AVS) systems and special linear structures is established,and the equivalent additional stiffness ratio and the equivalent additional damping ratio are determined.Then,an approximate mode decomposition (AMD) method is proposed for multi-degree-of-freedom (MDOF) structures with AVS systems.The accuracy of the method is discussed and improved using revising parameters.Simulation results indicate that the AMD method is effective in estimating the maximum relative displacements and the maximum interstory drifts of MDOF structures with AVS systems.The study provides a foundation for the seismic design method of structures with AVS systems.
文摘被动控制系统调谐质量阻尼器(Tuned Mass Damper,TMD)或调谐液体阻尼器(Tuned Liquid Damper,TLD)刚度相对主体结构非常小,而且通常是非线性的,所以动力时程计算中极易出现病态刚度矩阵。当主体结构未知量个数相当大时,刚度矩阵的病态很难避免。为了使病态方程得到改善,本文利用主体结构振型叠加法降低方程阶数。在完成降阶后,根据Newmark-β法推导了计算地震作用下每一时刻结构响应的公式,并将整个算法使用MATLAB编译为程序。通过与已有文献中ABAQUS模拟结果的对比,得出误差在2.9%~8.4%范围内,说明本算法可以提高计算效率,具有较高的精确度。