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浙江大学学报(工学版)
浙江大学学报(工学版)  2023, Vol. 57 Issue (7): 1439-1449    DOI: 10.3785/j.issn.1008-973X.2023.07.019
能源与机械工程     
可调旋转式流体阻尼器参数多目标优化设计
曹晓彦(),于敏*(),周瑾,王运志
南京航空航天大学 机电学院，江苏 南京 210016
Multi-objective optimization design of adjustable rotary fluid damper parameter
Xiao-yan CAO(),Min YU*(),Jin ZHOU,Yun-zhi WANG
College of Mechanical and Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
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摘要：

为了以最小几何公差制造成本实现直升机操纵系统良好的振动控制效果，开发新型可调旋转式流体阻尼器，对关键的几何参数进行多目标优化. 该阻尼器通过伺服电机带动转阀实现阻尼力的实时调节，实现直升机操纵系统的振动控制. 基于压力-流量公式，建立阻尼器准静态模型，分析结构几何参数对最大阻尼力矩、可调倍数的影响规律. 为了同时满足阻尼器输出力矩、动态可调范围及最小公差制造成本的要求，采用非支配排序遗传算法（NSGA-II）对各结构参数进行多目标优化设计，确定阻尼器的最佳结构设计参数. 结果表明，多目标优化设计能够在满足阻尼器力学特性的前提下实现尽可能小的公差制造成本. 对制作的可调旋转式流体阻尼器样机进行力学性能测试，验证了基于准静态模型的阻尼器参数多目标优化结果的正确性.
关键词： 可调阻尼器;  多目标优化;  旋转式阻尼器;  响应面分析;  灵敏度分析;  直升机操纵系统    
Abstract:

A new adjustable rotary fluid damper was developed in order to achieve good vibration control effect of helicopter control system with minimum geometric tolerance manufacturing cost. The multi-objective optimization of key geometric parameters was conducted. The rotary valve was driven through a servo motor to realize the real-time adjustment of the damping force in order to realize the vibration control of the helicopter control system. A quasi-static model of the damper was established based on the pressure-flow formula. The influence of structural geometric parameters on the maximum damping torque and adjustable multiple was analyzed. The non-dominated sorting genetic algorithm II (NSGA-II) was used to conduct multi-objective optimization of each structural parameter in order to meet the requirements of damper output torque, dynamic adjustable range and minimum tolerance manufacturing cost at the same time. The optimal structural design parameters of the damper were obtained. Results show that the multi-objective optimal design can achieve the minimum manufacturing cost of tolerance on the premise of satisfying the mechanical properties of the damper. The correctness of the multi-objective optimization results of the damper parameters based on the quasi-static model was verified through the mechanical performance test of the prototype of the adjustable rotary fluid damper.
Key words: adjustable damper    multi-objective optimization    rotary damper    response surface analysis    sensitivity analysis    helicopter control system
收稿日期: 2022-07-09 出版日期: 2023-07-17
CLC:  TB 535  
通讯作者: 于敏     E-mail: caoxiaoyan0621@nuaa.edu.cn;yumin@nuaa.edu.cn
作者简介: 曹晓彦（1987—），男，博士生，从事阻尼减振及控制的研究. orcid.org/0000-0002-3575-0456.E-mail： caoxiaoyan0621@nuaa.edu.cn
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曹晓彦
于敏
周瑾
王运志

引用本文:

曹晓彦,于敏,周瑾,王运志. 可调旋转式流体阻尼器参数多目标优化设计[J]. 浙江大学学报(工学版), 2023, 57(7): 1439-1449.

Xiao-yan CAO,Min YU,Jin ZHOU,Yun-zhi WANG. Multi-objective optimization design of adjustable rotary fluid damper parameter. Journal of ZheJiang University (Engineering Science), 2023, 57(7): 1439-1449.

链接本文:

https://www.zjujournals.com/eng/CN/10.3785/j.issn.1008-973X.2023.07.019    或    https://www.zjujournals.com/eng/CN/Y2023/V57/I7/1439

图 1  可调旋转式流体阻尼器的设计方案
图 2  可调旋转式流体阻尼器的结构参数图
参数 初始值
Ds/mm 46
Dr/mm 22
Ly/mm 38
μ /(kg·m?1·s?1) 1.17×10?2
b1/mm 5
b2/mm 6
dh/mm 1.5
δ1/mm 初始值0.03
公差(0.01~0.03)
δ2/mm 初始值0.03
公差(0.01~0.03)
δ3/mm 初始值0.03
公差(0.01~0.03)
lr/mm 3
αr/（°） 9
ω/(rad·s?1) 0.229
表 1  可调旋转式流体阻尼器的结构参数初值
图 3  转阀全闭时结构参数对阻尼力矩的影响
图 4  转阀全闭时的结构参数灵敏度分析
图 5  结构参数对阻尼力矩可调范围的影响
图 6  结构参数对阻尼力矩可调范围影响的灵敏度分析
图 7  NSGA-II的求解流程图
图 8  Pareto解集的分布及投影图
序号 f1 f2 f3
1 ?3.549 ?8.139 1069.473
2 ?3.584 ?8.093 1067.954
3 ?3.586 ?8.198 1073.108
修正后 ?3.635 ?8.205 1067.954
表 2  选取的Pareto解
mm
序号 δ1U δ2U δ3U dh Ds Dr Ly
1 0.042 0.040 0.046 1.981 48.86 20.13 38.97
2 0.042 0.039 0.047 1.995 48.77 20.07 38.89
3 0.041 0.040 0.047 1.979 48.63 20.20 39.09
修正后 0.042 0.039 0.047 2 49 20 39
表 3  选取的Pareto解的结构参数值
图 9  阻尼力矩随角速度的变化
图 10  可调倍数随角速度的变化
图 11  阻尼器样机图
图 12  阻尼器测试装置图
图 13  阻尼器性能测试的结果
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