STUDY ON DYNAMIC STABILITY AND BIFURCATION OF THE ROD-FASTENING ROTOR SYSTEM

HEI Di; ZHENG MeiRu

doi:10.16579/j.issn.1001.9669.2020.02.007

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STUDY ON DYNAMIC STABILITY AND BIFURCATION OF THE ROD-FASTENING ROTOR SYSTEM

更新时间：2022-09-22

- STUDY ON DYNAMIC STABILITY AND BIFURCATION OF THE ROD-FASTENING ROTOR SYSTEM
- Journal of Mechanical Strength Vol. 42, Issue 2, Pages: 299-307(2020)
- 作者机构：
  
  1. 陕西铁路工程职业技术学院机电工程系
- 作者简介：
- 基金信息：
- DOI：10.16579/j.issn.1001.9669.2020.02.007
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HEI Di, ZHENG MeiRu. STUDY ON DYNAMIC STABILITY AND BIFURCATION OF THE ROD-FASTENING ROTOR SYSTEM. [J]. 42(2):299-307(2020)
DOI：

HEI Di, ZHENG MeiRu. STUDY ON DYNAMIC STABILITY AND BIFURCATION OF THE ROD-FASTENING ROTOR SYSTEM. [J]. 42(2):299-307(2020) DOI： 10.16579/j.issn.1001.9669.2020.02.007.

摘要

考虑拉杆转子轮盘间的接触效应,并将此接触效应等效为一个具有非线性刚度的抗弯弹簧,从而建立了拉杆转子的运动模型,并推导了拉杆转子的运动方程。为了求解拉杆转子的动力学响应,将Wilson-θ法和预估-校正机理相结合提出了一种有效的计算方法,同时结合Floquet理论分析了拉杆转子的分岔行为。在计算时,首先比较了拉杆转子与整体转子的运动稳定性,结果显示拉杆转子比整体转子更稳定。最后,分别以量刚一转速、圆盘偏心量、转轴刚度为控制参数分析了拉杆转子的动力学行为,计算结果揭示拉杆转子具有周期、转周期、周期三、周期五等丰富的运动行为。

Abstract

The contact effect of the disks of the rod-fastening rotor is considered in this paper. The contact effect is equivalent to a bending resistance spring with nonlinear stiffness when the modal of rod-fastening rotor is established. The motion equation of the rod-fastening rotor system is derived. In order to solve the dynamics responses of the rod-fastening rotor,an effective calculation method is presented by combining the Wilson-θ method and Estimation-correction mechanism. At the same time,Floquet theory is adopted to analyze the bifurcation behaviors of the rod-fastening rotor. The comparison of the stability is implemented between the rod-fastening rotor and integral rotor. The results show that the rod-fastening rotor is more stable than the integral rotor. Finally,the dynamics behaviors of the rod-fastening rotor are analyzed by taking the speed of rotor,eccentricity of disk and stiffness of shaft as control parameter. The calculating results reveal periodic,quasi-periodic,3-periodic,5-periodic of the system.

关键词

拉杆转子稳定性分岔Wilson-θ法Floquet理论

Keywords

Rod-fastening rotorStabilityBifurcationWilson-θ methodFloquet theory

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