基于变刚度支承的转子系统振动控制策略

doi:10.16183/j.cnki.jsjtu.2023.248

摘要/Abstract

摘要：

为了解决航空发动机转子结构工作过程中经历多阶共振对结构可靠性带来的不利影响,研究了基于主动变刚度支承的转子系统振动控制策略.在最优控制的框架内,分别设计了基于Bang-Bang控制和支承刚度梯度控制两种变刚度策略,其中支承刚度梯度控制又分为带转速保持控制和不带转速保持控制两种情况,将各控制策略应用在多支承柔性转子的振动控制中,仿真分析了减振效果.结果表明,Bang-Bang控制的变刚度策略下共振峰值衰减率最高可达80%,但该种控制策略对控制器响应的快速性要求很高.支承刚度梯度控制允许支承刚度渐变,同种工况下减振率最高可达25%.最后选择更适合工程应用的支承刚度梯度控制策略,利用形状记忆合金(SMA)变刚度支承-转子试验器进行了控制策略的有效性验证.

关键词: 变刚度支承, 转子系统, 控制策略, 振动抑制, Bang-Bang控制, 刚度梯度控制

Abstract:

This paper focuses on vibration control strategies utilizing active variable stiffness support for rotor systems in aero-engine structures, which aims to mitigate the negative impact of multi-order resonance on structural reliability. Within the framework of optimal control, two variable stiffness control strategies, i.e., Bang-Bang control and gradient control of support stiffness, are designed. The latter can be further divided into two cases, gradient control with speed holding and gradient control without speed holding. The effectiveness of each control strategy is evaluated through simulations on the vibration control of a multi-support flexible rotor. The results indicate that the variable stiffness strategy of Bang-Bang control can achieve a resonance peak attenuation rate of 80%. However, this control strategy demands a high reaction of the controller. On the other hand, the support stiffness gradient control enables a progressive change in support stiffness, which can achieve a resonance peak reduction rate of 25% under the same working condition. A suitable support stiffness gradient control strategy is chosen for engineering applications, and the efficacy of this approach is verified through experimentation with a rotor tester that utilizes shape memory alloy (SMA) to achieve variable stiffness support.

Key words: variable stiffness support, rotor system, control strategy, vibration reduction, Bang-Bang control, stiffness gradient control

中图分类号:

V231

金福艺, 臧朝平, 邢广鹏, 马钰祥, 袁善虎, 贾志刚. 基于变刚度支承的转子系统振动控制策略[J]. 上海交通大学学报, 2025, 59(5): 657-665.

JIN Fuyi, ZANG Chaoping, XING Guangpeng, MA Yuxiang, YUAN Shanhu, JIA Zhigang. Vibration Control Strategy of Rotor System Using Variable Stiffness Support[J]. Journal of Shanghai Jiao Tong University, 2025, 59(5): 657-665.

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编号	刚度值/(N·mm^-1)
1#	155~225
2#	1×10⁴
3#	130~180