旋转环状周期结构参激振动分析

发布时间：2018-02-24 23:04

本文关键词： 环状周期结构坐标变换特征值不稳定性预测　出处：《天津大学学报(自然科学与工程技术版)》2017年06期 　论文类型：期刊论文

【摘要】：针对旋转环状周期结构的参激振动问题,在惯性坐标系下采用能量法建立了时变弹性动力学模型.为了获得系统的动力稳定性,采用坐标变换方法消除了该模型的时变性,然后根据经典振动理论得到了系统的特征值.根据该特征值分析了模态特性和不稳定性.结果表明:在旋转支撑作用下,系统的固有频率发生分裂;对于某些转速,系统表现出发散或颤振不稳定.此外,利用Floquét理论计算了系统的不稳定域和动态响应,并将其与解析预测进行对比.该研究有助于快速分析该类参激系统的动力稳定性,并获得指导工程实践的解析结果.
[Abstract]:In order to obtain the dynamic stability of the system, a time-varying elastic dynamic model is established by using the energy method in inertial coordinate system, and the time-variant of the model is eliminated by the coordinate transformation method in order to obtain the dynamic stability of the system. Then the eigenvalue of the system is obtained according to the classical vibration theory. The modal characteristics and instability are analyzed according to the eigenvalue. The results show that the natural frequency of the system splits under the action of rotating support. The system shows divergence or flutter instability. In addition, the unstable region and dynamic response of the system are calculated by using Floqu 茅 t theory, and compared with the analytical prediction. This study is helpful to the rapid analysis of the dynamic stability of this kind of parametric systems. The analytical results of guiding engineering practice are obtained.
【作者单位】：天津大学机械工程学院;天津市非线性动力学与控制重点实验室;天津大学电气自动化与信息工程学院;
【基金】：国家重点基础研究发展计划(973计划)资助项目(2013CB035403) 国家高技术研究发展计划(863计划)资助项目(2012AA04) 国家自然科学基金资助项目(51175370) 天津市应用基础与前沿技术研究计划重点资助项目(13JCZDJC34300);天津市应用基础与前沿技术研究计划资助项目(14JCYBJC18800)~~
【分类号】：TB123

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