中心刚体-旋转悬臂板耦合系统碰摩动力特性解析法研究  

STUDY ON RUBBING DYNAMIC BEHAVIOR OF HUB-PLATE WITH ANALYTICAL METHOD

作　　者：寇海江[1] 袁惠群[1,2] 闻邦椿[1] 吴文波[2] 

机构地区：[1]东北大学机械工程与自动化学院,沈阳110819 [2]东北大学理学院,沈阳110819

出　　处：《固体力学学报》2013年第2期125-132,共8页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金项目(51275081)资助

摘　　要：针对大型旋转机械叶片与机壳间发生的碰摩故障,建立了中心刚体-旋转悬臂板耦合系统碰摩动力学模型,考虑了离心刚化效应,利用Hamilton原理推导出运动微分方程.基于实验和有限元分析碰摩力的结果,给出了碰摩力的近似数学表达式,得到了系统振动响应解析解,通过与文献中实验结果的对比,验证了模型及方法的准确性,讨论了叶片梁模型和薄板模型在不同点碰摩及线碰摩情况下各自的适用范围,分析了转速对碰摩动力响应的影响.结果表明:论文解析解具有较高精度;薄板模型能够更全面地反映叶片各种不同碰摩情况下的动力特性,比梁模型更准确、可靠;随着转速的增大,碰摩力导致薄板自由端幅值突变,这是引发工程中叶片掉角,甚至折断的重要原因.For rubbing faults between large rotating machinery blades and casing,a dynamic model of cantilever plate attached to a rotating rigid hub was established. The equation of motion was derived to in clude centrifugal stiffening effect by using Hamilton＇s principle. Based on the experimental and finite ele- ment analysis results of rubbing forces, approximate mathematical expressions were proposed. And analyti- cal solutions for hub-plate system were obtained. Compared with the experimental results, the present mod- els and methods were proved to be accurate. Their respective applicable conditions of the blade＇s beam and thin plate model were discussed. The influence of rotation speed on rubbing dynamic response was ana- lyzed. Results showed that analytical solutions were accurate, and the thin plate model which can fully re- flect the dynamic characteristics of a blade in the case of various rubbing was more accurate and reliable than the beam. Furthermore,as rotation speed increase, rubbing force causes amplitude of the thin plate in free end sudden change, which is important reason for loss corner faults or even break failure of blades in engineering.

关 键 词：中心刚体 旋转悬臂板 Rayleigh-Ritz法 HAMILTON原理 碰摩 

分 类 号：TH113[机械工程—机械设计及理论]