时滞影响下受控斜拉索的参数振动稳定性

发布时间：2018-07-09 16:32

本文选题：参数共振 + 斜拉索　；参考：《应用数学和力学》2017年02期

【摘要】：研究了轴向激励作用下受控斜拉索系统主参数共振的时滞效应,考虑了拉索垂度和几何非线性的影响,基于Hamilton变分原理建立了受控斜拉索系统轴向激励下的非线性参数振动方程,利用Galerkin方法得到时滞动力系统,运用多尺度法对受控系统的主参数共振进行了分析,得到了不同时滞值、控制增益时参数振动稳定域和受控拉索的时程曲线.研究表明,时滞影响下斜拉索振动控制系统的效果变差,参数共振的稳定域发生偏移,对受控斜拉索系统的控制效果随着时滞的增大而变差,从而对控制系统的参数设计起到指导作用.
[Abstract]:The time-delay effect of the resonance of the main parameters of the controlled cable system under axial excitation is studied, and the effects of cable sag and geometric nonlinearity are considered. Based on the Hamilton variational principle, the nonlinear parametric vibration equation of the controlled cable system under axial excitation is established. The time-delay dynamic system is obtained by using the Galerkin method, and the principal parametric resonance of the controlled system is analyzed by using the multi-scale method. The stability region of parameter vibration and the time-history curve of controlled cables with different time-delay values are obtained. The results show that the effect of cable vibration control system becomes worse under the influence of time delay, the stability region of parametric resonance is offset, and the control effect of controlled cable system becomes worse with the increase of time delay. Thus, the parameter design of the control system plays a guiding role.
【作者单位】：湖南科技大学土木工程学院;
【基金】：国家自然科学基金(11402085) 国家重点基础研究发展计划(973计划)(2015CB057702) 湖南省教育厅资助项目(14C0464) 湖南省研究生科研创新项目(CX2016B544)~~
【分类号】：O327

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