基于负刚度原理的结构减震效果理论分析

纪 晗; 熊世树; 袁涌; 付杰;

振动与冲击 ›› 2010, Vol. 29 ›› Issue (3) : 91-94.

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振动与冲击 ›› 2010, Vol. 29 ›› Issue (3) : 91-94.
论文

基于负刚度原理的结构减震效果理论分析

  • 纪 晗1,2; 熊世树 1,2; 袁涌1,2; 付杰1,2
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Influence analysis of the structure seism reduction effectbased on negative stiffness principle

  • JI Han1,2; *XIONG Shi-shu1,2; YUAN Yong1,2; FU Jie1,2
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摘要

本文在分析普通振动控制系统特点的基础上提出基于负刚度原理减震系统和负刚度阻尼装置的两种实现思路,并详细分析附加负刚度阻尼装置可以显著提高结构的减震效果。首先,利用结构附加刚度比率和附加阻尼比之比作为控制参数,通过理论推导单自由度正、负刚度减震体系的动力放大系数和传导比,讨论控制参数对二者的影响;然后,采用有限单元法分析正、负刚度减震体系结构的地震动力反应,通过结构的自振频率和位移、速度、加速度以及柱底剪力反应的分析,说明负刚度振动控制系统可以减少上部结构绝对加速度。分析表明,负刚度阻尼装置的负刚度可部分抵消原结构的正刚度,降低了结构的自振频率,提高结构阻尼,较大幅度地减少上部结构的动力响应,具有更好的减震性能。

Abstract

This study presents the seism reduction system based on the negative stiffness principle and two kinds of realizable idea by analyzing the characteristic of the general vibration control system, and discusses the seismic response reduction effect of the structure added the negative stiffness damping installations. Using the ratio of the supplementary stiffness and the ratio of the supplementary damping ratio as control parameters, the effect of the dynamic magnification factor and the transmission ratio of the single-degree-of-freedom seism reduction systems with the positive stiffness and the negative stiffness are discussed. The seismic response of the seism reduction systems with the positive stiffness and the negative stiffness is analyzed by FEM. The response contains frequency, displacement, velocity, acceleration and shearing force of the columniation. The results show that the absolute acceleration of the superstructure is decreased. The analysis indicates that the negative stiffness of the negative stiffness damping installations can counteract the positive stiffness of the structure, reduce the frequency, enhance the damping of the structure, decrease the dynamical responds of the superstructure, and make the structure seism reduction capability more observably.

关键词

负刚度 / 减震系统 / 动力响应 / 减震效果

Key words

negative stiffness / seism reduction system / dynamical response / seism reduction effect

引用本文

导出引用
纪 晗; 熊世树; 袁涌; 付杰;. 基于负刚度原理的结构减震效果理论分析[J]. 振动与冲击, 2010, 29(3): 91-94
JI Han;*XIONG Shi-shu;YUAN Yong;FU Jie;. Influence analysis of the structure seism reduction effectbased on negative stiffness principle[J]. Journal of Vibration and Shock, 2010, 29(3): 91-94
中图分类号: TU317     

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