Research on Equivalent Linearization of Seismic Control with Nonlinear Suspending Mass Pendulum

霍林生; 侯洁; 李宏男

doi:10.13409/j.cnki.jdpme.2015.03.001

您当前的位置：

首页 >

文章列表页 >

Research on Equivalent Linearization of Seismic Control with Nonlinear Suspending Mass Pendulum

更新时间：2025-12-11

- Research on Equivalent Linearization of Seismic Control with Nonlinear Suspending Mass Pendulum
- Vol. 35, Issue 3, Pages: 283-289(2015)
- 作者机构：
- 作者简介：
- 基金信息：
- DOI：10.13409/j.cnki.jdpme.2015.03.001
  CLC： U352.1
- Published：2015
- 稿件说明：
移动端阅览
[1]霍林生,侯洁,李宏男.非线性悬吊质量摆减震控制的等效线性化方法研究[J].防灾减灾工程学报,2015,35(03):283-289.

霍林生, 侯洁, 李宏男. Research on Equivalent Linearization of Seismic Control with Nonlinear Suspending Mass Pendulum[J]. 2015, 35(3): 283-289.
[1]霍林生,侯洁,李宏男.非线性悬吊质量摆减震控制的等效线性化方法研究[J].防灾减灾工程学报,2015,35(03):283-289. DOI： 10.13409/j.cnki.jdpme.2015.03.001.

霍林生, 侯洁, 李宏男. Research on Equivalent Linearization of Seismic Control with Nonlinear Suspending Mass Pendulum[J]. 2015, 35(3): 283-289. DOI： 10.13409/j.cnki.jdpme.2015.03.001.

摘要

在柔性结构利用悬吊质量摆的减震控制中

按小摆角线性化来分析存在一定的局限性。针对此问题

建立了考虑悬吊质量摆大摆角振动的非线性运动方程。利用等效线性化的方法

将非线性方程转化为线性方程

基于虚拟激励法

提出了等效线性方程的求解方法。以某柔性输电塔结构为例

在不同幅值的平稳随机激励下

分别求解线性方程、非线性方程以及简化后的非线性方程

得到结构体系的响应。结果表明

在大摆角情况下

如果忽略非线性影响

将会产生较大的计算误差;采用本文提出的等效线性方程求解方法

可以保证求解结果与非线性方程的计算结果一致。

Abstract

There are some limitations in the vibration control of flexible structures by using suspending mass pendulums on the basis of linear analysis of the small swinging angle.Focused on this problem

this paper derives the nonlinear equation of motion with the consideration of the large swing angle of the mass pendulum.The nonlinear equation is transformed into a linear one by the equivalent linearization method.The solving of the equivalent linear equation is proposed on the basis of the pseudo excitation method.A flexible transmission tower subjected to different amplitudes of stationary random excitation is used as an example

and the structural responses are acquired by solving the linear equation

nonlinear equation and equivalent linear equation.The results show that the great errors will exist if the nonlinearity is neglected under the condition of large swing angle of the pendulum.The solving method of equivalent linear equation proposed in this paper can guarantee the results consistent with the one from the nonlinear equation.

关键词

Keywords

references

非线性悬吊质量摆对输电塔减振控制的研究 [J]. 侯洁,霍林生,李宏男. 振动与冲击 . 2014(03)

大跨越输电塔-线体系风振控制研究 [J]. 李黎,尹鹏. 工程力学 . 2008(S2)

Dynamic performance of cable-stayed bridge tower with multi-stage pendulum mass damper under wind excitations—Ⅱ: Experiment [J]. 郭安薪,徐幼麟,李惠. Earthquake Engineering and Engineering Vibration . 2007(04)

Dynamic performance of cable-stayed bridge tower with multi-stage pendulum mass damper under wind excitations——I:Theory [J]. 郭安薪,徐幼麟,李惠. Earthquake Engineering and Engineering Vibration . 2007(03)

大直径钢管塔风振时程分析及风振控制研究 [J]. 董军,邓洪洲,杨荣. 江汉石油学院学报 . 1998(01)

悬挂质量摆对电视塔的风振控制研究 [J]. 王肇民,刘学利,张旭升. 特种结构 . 1997(03)

摆—结构体系减震性能研究 [J]. 李宏男. 工程力学 . 1996(03)

高层建筑利用悬吊质量摆的减震研究 [J]. 李宏男,宋本有. 地震工程与工程振动 . 1995(04)

结构动力吸振摆的优化参数 [J]. 李宏男,M.P.Singh. 世界地震工程 . 1994(04)

随机地震响应功率谱快速算法 [J]. 林家浩. 地震工程与工程振动 . 1990(04)

随机地震响应的确定性算法 [J]. 林家浩. 地震工程与工程振动 . 1985(01)

随机振动的虚拟激励法[M]. 科学出版社 , 林家浩,张亚辉著, 2004

An experimental study on self-powered vibration control and monitoring system using electromagnetic TMD and wireless sensors [J] . Wen-ai Shen,Songye Zhu,You-lin Xu. Sensors & Actuators: A. Physical . 2012

An adaptive pendulum for evolving structures [J] . O. BenMekki,F.Bourquin,F.Maceri,C. NguyenVan Phu. Struct. Control Health Monit. . 2012 (1)

Views

163

下载量

CSCD

Alert me when the article has been cited

提交

Tools

Publicity Resources

Numerical Simulation of Coherency Function of Nonlinear Ground Motion under Consistent Excitations

Vibration Control of Transmission Towers with a Suspended Pendulum based on Nonlinear Energy Sink

Study on Vibration Reduction of Cylindrical Reticulated Mega-structures with Viscous Dampers

PC Cluster Parallel Computing for 3D Valley Topography Site under Long-period Seismic Excitation

Seismic Reduction and Control Analysis of Steel Frame-concrete Core Wall Structure with Viscous Dampers

Related Author

李杰

陈原

李宏男

黄辰

霍林生

郭文豪

贺拥军

陈清军

Related Institution

No data

⁰