In order to improve the seismic performance of adjacent buildings,two types of tuned inerter damper(TID)damping systems for adjacent buildings are proposed,which are composed of springs,inerter devices and dampers in ...In order to improve the seismic performance of adjacent buildings,two types of tuned inerter damper(TID)damping systems for adjacent buildings are proposed,which are composed of springs,inerter devices and dampers in serial or in parallel.The dynamic equations of TID adjacent building damping systems were derived,and the H2 norm criterion was used to optimize and adjust them,so that the system had the optimum damping performance under white noise random excitation.Taking TID frequency ratio and damping ratio as optimization parameters,the optimum analytical solutions of the displacement frequency response of the undamped structure under white noise excitation were obtained.The results showed that compared with the classic TMD,TID could obtain a better damping effect in the adjacent buildings.Comparing the TIDs composed of serial or parallel,it was found that the parallel TIDs had more significant advantages in controlling the peak displacement frequency response,while the H2 norm of the displacement frequency response of the damping system under the coupling of serial TID was smaller.Taking the adjacent building composed of two ten-story frame structures as an example,the displacement and energy collection time history analysis of the adjacent building coupled with the optimum design parameter TIDs were carried out.It was found that TID had a better damping effect in the full-time range compared with the classic TMD.This paper also studied the potential power of TID in adjacent buildings,which can be converted into available power resources during earthquakes.展开更多
斜拉桥在风荷载作用下易出现多模态参与的大幅振动,宜采用主动式ATMD(active tuned mass damper)减振。针对斜拉桥风振减振设计中的ATMD及传感器的位置和数量配置问题,在建立风荷载作用下斜拉桥与ATMD组合系统模型的基础上,用模态坐标表...斜拉桥在风荷载作用下易出现多模态参与的大幅振动,宜采用主动式ATMD(active tuned mass damper)减振。针对斜拉桥风振减振设计中的ATMD及传感器的位置和数量配置问题,在建立风荷载作用下斜拉桥与ATMD组合系统模型的基础上,用模态坐标表示H2范数,提出包括外激励影响的分别针对作动器和传感器配置优化的H2范数指标,推导ATMD对结构的共振激振模型,考虑ATMD和加速度传感器的动力性能并对配置指标进行修正,建立能够以开环方式有效实现ATMD和加速度传感器配置的优化方法。以南京长江第三大桥的风振减振为例,定量分析ATMD和加速度传感器的优化位置和数量。结果表明,采用考虑外激励权重的H2范数指标,并结合考虑ATMD动力性能,能够有效实现针对结构多模态参与的风振减振的ATMD和加速度传感器的配置优化。展开更多
The authors consider the problem of boundary feedback stabilization of the 1D Euler gas dynamics locally around stationary states and prove the exponential stability with respect to the H^2-norm. To this end, an expli...The authors consider the problem of boundary feedback stabilization of the 1D Euler gas dynamics locally around stationary states and prove the exponential stability with respect to the H^2-norm. To this end, an explicit Lyapunov function as a weighted and squared H^2-norm of a small perturbation of the stationary solution is constructed. The authors show that by a suitable choice of the boundary feedback conditions, the H^2-exponential stability of the stationary solution follows. Due to this fact, the system is stabilized over an infinite time interval. Furthermore, exponential estimates for the C^1-norm are derived.展开更多
基金This research was funded by the Natural Science Research Project of Higher Education Institutions in Anhui Province(Grant No.2022AH040045)the Anhui Provincial Natural Science Foundation(Grant No.2008085QE245)the Project of Science and Technology Plan of Department of Housing and Urban-Rural Development of Anhui Province(Grant No.2021-YF22).
文摘In order to improve the seismic performance of adjacent buildings,two types of tuned inerter damper(TID)damping systems for adjacent buildings are proposed,which are composed of springs,inerter devices and dampers in serial or in parallel.The dynamic equations of TID adjacent building damping systems were derived,and the H2 norm criterion was used to optimize and adjust them,so that the system had the optimum damping performance under white noise random excitation.Taking TID frequency ratio and damping ratio as optimization parameters,the optimum analytical solutions of the displacement frequency response of the undamped structure under white noise excitation were obtained.The results showed that compared with the classic TMD,TID could obtain a better damping effect in the adjacent buildings.Comparing the TIDs composed of serial or parallel,it was found that the parallel TIDs had more significant advantages in controlling the peak displacement frequency response,while the H2 norm of the displacement frequency response of the damping system under the coupling of serial TID was smaller.Taking the adjacent building composed of two ten-story frame structures as an example,the displacement and energy collection time history analysis of the adjacent building coupled with the optimum design parameter TIDs were carried out.It was found that TID had a better damping effect in the full-time range compared with the classic TMD.This paper also studied the potential power of TID in adjacent buildings,which can be converted into available power resources during earthquakes.
文摘斜拉桥在风荷载作用下易出现多模态参与的大幅振动,宜采用主动式ATMD(active tuned mass damper)减振。针对斜拉桥风振减振设计中的ATMD及传感器的位置和数量配置问题,在建立风荷载作用下斜拉桥与ATMD组合系统模型的基础上,用模态坐标表示H2范数,提出包括外激励影响的分别针对作动器和传感器配置优化的H2范数指标,推导ATMD对结构的共振激振模型,考虑ATMD和加速度传感器的动力性能并对配置指标进行修正,建立能够以开环方式有效实现ATMD和加速度传感器配置的优化方法。以南京长江第三大桥的风振减振为例,定量分析ATMD和加速度传感器的优化位置和数量。结果表明,采用考虑外激励权重的H2范数指标,并结合考虑ATMD动力性能,能够有效实现针对结构多模态参与的风振减振的ATMD和加速度传感器的配置优化。
基金Project supported by the Initial Training Network "FIRST" of the Seventh Framework Programme of the European Community’s (No. 238702) the DFG-Priority Program 1253: Optimization with PDEs (No. GU 376/7-1)
文摘The authors consider the problem of boundary feedback stabilization of the 1D Euler gas dynamics locally around stationary states and prove the exponential stability with respect to the H^2-norm. To this end, an explicit Lyapunov function as a weighted and squared H^2-norm of a small perturbation of the stationary solution is constructed. The authors show that by a suitable choice of the boundary feedback conditions, the H^2-exponential stability of the stationary solution follows. Due to this fact, the system is stabilized over an infinite time interval. Furthermore, exponential estimates for the C^1-norm are derived.
