混联Ⅱ型惯容耗能减震结构响应及减震性能研究  

Study on the Responses and Damping Performances of Series-Parallel-ⅡInerter Systems’Dissipation Damping Structures

作　　者：李创第[1] 柴一格 樊新宇 王瑞勃 葛新广 LI Chuangdi;CHAI Yige;FAN Xinyu;WANG Ruibo;GE Xinguang(School of Civil&Architectural Engineering,Guangxi University of Science and Technology,Liuzhou,Guangxi 545006,P.R.China;College of Civil and Architectural Engineering,Liuzhou Institute of Technology,Liuzhou,Guangxi 545616,P.R.China)

机构地区：[1]广西科技大学土木建筑工程学院,广西柳州545006 [2]柳州工学院土木建筑学院,广西柳州545616

出　　处：《应用数学和力学》2025年第2期208-222,共15页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(51468005);广西重点研发计划(桂科AB19259011)。

摘　　要：针对多自由度混联Ⅱ型惯容对结构减震效果和可靠度的影响较为复杂的问题,运用功率谱二次分解法对该耗能结构的动力响应进行了研究.通过复模态法将重构后的运动方程进行解耦,获得了结构位移及速度、结构层间位移及速度、层间剪力、层间位移角和惯容力等响应的频域统一解表达式.运用功率谱二次分解法,获得了上述响应量的功率谱及谱矩的解析解.以一栋16层的实际结构为例,验证了功率谱及谱矩的正确性.最后,基于位移标准差和谱矩解析解探究了惯容系统参数对减震效果的影响,并对动力可靠度进行了分析.验证了布置混联Ⅱ型惯容耗能结构具有良好的减震效果及可靠度.Aimed at the complexity of the effects of the multi-degree-of-freedom series-parallel-Ⅱinerter system(SPIS-Ⅱ)on the damping and reliability of structures,the dynamic responses of the energy dissipation structure were studied with the power spectrum quadratic decomposition method.The reconstructed equations of motion were decoupled with the complex modal method to obtain unified solution expressions in the frequency domain for the responses of structural displacements and velocities,structural inter-storey displacements and inter-storey velocities,inter-storey shear forces and inter-storey displacement angles.The analytical solutions of power spectrums and spectral moments of the above responses were obtained with the quadratic decomposition method for the power spectrum.With a 16-storey actual structure as an example,the correctness of the power spectrums and spectral moments was verified.Finally,based on the displacement standard deviation and the analytical solution of the spectral moments,the effects of the inertial system parameters on the structural damping were explored,and the dynamic reliability was analyzed.The results show that,the proposed SPIS-Ⅱstructure has good vibration damping effect and reliability.

关 键 词：混联Ⅱ型惯容系统 随机地震响应 复模态法 0~2阶谱矩 Clough-Penzien谱 

分 类 号：TU311.3[建筑科学—结构工程] O324[理学—一般力学与力学基础]