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非线性悬吊质量摆减震控制的等效线性化方法研究

ISSN号：1672-2132
期刊名称：《防灾减灾工程学报》
时间：0
分类：TU352.1[建筑科学—结构工程]
作者机构：[1]大连理工大学建设工程学部,辽宁大连116024
相关基金：国家自然科学基金创新群体研究项目（51121005）;国家自然科学基金国际合作交流项目（51261120375）资助

关键词：悬吊质量摆, 等效线性化, 虚拟激励法, 柔性结构, 减震控制, suspending mass pendulum, equivalent linearization, pseudo excitation method, flexi-bility structure, seismic control

中文摘要：

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。

英文摘要：

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.