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요약정보
受轴向激励弹性支承梁的稳定性分析 / STABILITY ANALYSIS OF AXIALLY EXCITED BEAM WITH ELASTIC BOUNDARY
Resource Type
Academic Journal
Authors
张弛
;
毛晓晔
;
丁虎
;
陈立群
;
Zhang Chi
;
Mao Xiaoye
;
Ding Hu
;
Chen Liqun
Source
动力学与控制学报 / Journal of Dynamics and Control
. 20(3):66-76
Subject
梁
弹性支撑
轴向激励
参激振动
非线性振动
稳定边界
Language
Chinese
ISSN
1672-6553
Online Access
Scopus
Find it @ DONGA
초록
对于广泛存在的弹性支撑梁,首次呈现支承弹簧刚度对轴向激励下梁横向振动稳定性的影响.应用Hamilton原理,建立了两端由线性弹簧支撑的受轴向激励梁的动力学控制方程.通过解析方法计算了受轴向压力梁的固有频率,得到了支撑弹簧刚度与系统固有频率和临界轴力的关系.Galerkin截断后,通过多尺度法和Runge-Kutta法,计算得到了梁参激振动稳态响应的半解析与数值解.讨论了激励幅值、支撑弹簧刚度、平均轴力对系统非线性响应幅值及软硬特性的影响.利用Routh-Hurwitz稳定性判据,求得系统的参激稳定边界,着重讨论了支撑弹簧刚度、阻尼系数的影响.研究发现,边界支撑弹簧的刚度可以显著改变受轴向激励梁的参激稳定边界.因此,研究结果将为广泛存在受到轴向激励结构的设计提供指导.
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