新型圆盘形钢丝绳环隔振器滞回性能试验与建模分析

张成; 王红霞; 汪朝晖; 龚青山; 孙彦坤

doi:10.11899/zzfy20240418

新型圆盘形钢丝绳环隔振器滞回性能试验与建模分析

doi: 10.11899/zzfy20240418

张成^{1, 3,},
王红霞^{1, 3, ,},
汪朝晖²,
龚青山^{1, 3},
孙彦坤^{1, 3}

1.
湖北汽车工业学院, 机械工程学院, 湖北十堰 442000
2.
武汉科技大学, 机械自动化学院, 武汉 430000
3.
汽车动力传动与电子控制湖北省重点实验室, 湖北十堰 442000

基金项目: 国家自然科学基金（52375508）；湖北省自然科学基金（2017CFB741）；湖北省高等学校优秀中青年科技创新团队计划（T2022027）

详细信息

作者简介:
张成，男，生于1999年。硕士研究生。主要从事振动控制与分析研究工作。E-mail：406434364@qq.com

通讯作者:
王红霞，女，生于1977年。教授，博士。主要从事振动控制与分析研究工作。E-mail：8784145@163.com

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出版历程
- 收稿日期: 2023-09-26
- 刊出日期: 2024-12-31

Experimental and Modeling Analysis on the Hysteretic Behavior of the Novel Disc-shaped Steel Wire Rope Ring Vibration Isolator

Zhang Cheng^{1, 3
,},
Wang Hongxia^{1, 3
, ,},
Wang Zhaohui²,
Gong Qingshan^{1, 3},
Sun Yankun^{1, 3}

1.
Hubei University of Automotive Technology, College of Mechanical Engineering, Shiyan 442000, Hubei, China
2.
Wuhan University of Science And Technology, College of Mechanical Automation Wuhan 430000, China
3.
Hubei key Laboratory of Automobile Power Transmission and Electronic Control, Shiyan 442000, Hubei, China

摘要

摘要: 针对目前钢丝绳环隔振器刚度与阻尼特性不易调节、成型与维修难度高、精度低等问题，研制了新型圆盘形钢丝绳环隔振器并对其开展试验研究，获得了钢丝绳直径、钢丝绳环直径与个数等对其刚度与阻尼特性的影响规律。基于圆盘形钢丝绳环隔振器试验滞回特性曲线，建立了考虑误差的非线性滞回模型，并采用间接傅里叶级数法结合最小二乘法完成了滞回模型参数识别。研究结果表明，本研究中的隔振器刚度与阻尼特性可根据钢丝绳环结构参数与个数进行调节以满足不同工况需求；所建滞回模型拟合曲线与试验曲线的最大误差为2.49%，验证了所建模型的有效性，为后续钢丝绳环隔振器非线性滞回性能的进一步研究和新型圆盘型钢丝绳环隔振器推广应用奠定了理论与试验基础。
- 隔振器 /
- 钢丝绳环 /
- 刚度 /
- 阻尼 /
- 非线性 /
- 滞回模型
Abstract: To address the challenges associated with the stiffness and damping characteristics of current wire rope ring vibration isolators—such as difficulty in adjustment, shaping, maintenance, and low precision—a new disc-shaped wire rope ring vibration isolator was developed, and experimental research was conducted. The study identified the influence of factors such as wire rope diameter, and the number and diameter of wire rope rings on the stiffness and damping characteristics of the isolator. Based on the test hysteresis characteristic curve of the disc-shaped isolator, a nonlinear hysteresis model accounting for errors was established. The model's parameters were identified using the indirect Fourier series method combined with the least squares method. The results indicate that the stiffness and damping characteristics of the vibration isolator can be adjusted by modifying structural parameters and the number of wire rope rings, making it adaptable to different working conditions. The maximum error between the fitted curve of the established hysteresis model and the test curve is 2.49%, validating the model’s accuracy. This research lays a theoretical and experimental foundation for further investigations into the nonlinear hysteresis behavior of wire rope ring vibration isolators and the promotion and application of the new disc-shaped isolator design.
- Vibration isolator /
- Wire line thimble /
- Stiffness /
- Damping /
- Nonlinear /
- Hysteresis model

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图 1 圆盘形钢丝绳环隔振器

Figure 1. Circular wire rope ring vibration isolator

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图 2 圆盘形钢丝绳环隔振器实物

Figure 2. Photo of circular wire rope ring vibration isolator

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图 3 电子疲劳试验机

Figure 3. Electronic fatigue testing machine

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图 4 隔振器动态滞回曲线

Figure 4. Dynamic hysteresis curve of wire rope rings with different structures

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图 5 隔振器滞回环面积

Figure 5. Hysteresis ring area of different rope-ring structures

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图 6 隔振器能量损失率

Figure 6. Energy loss rate of different rope-ring structures

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图 7 不同钢丝绳环个数下隔振器动态滞回曲线

Figure 7. Dynamic hysteresis curve of wire rope ring vibration isolator with different ring number

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图 8 不同钢丝绳环个数下隔振器滞回环面积

Figure 8. Hysteresis area of vibration isolators with different rope rings

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图 9 不同钢丝绳环个数下隔振器能量损失率

Figure 9. Energy loss rate of isolators with different number of rope rings

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图 10 圆盘形钢丝绳环隔振器力学模型

Figure 10. Mechanical model of ring vibration isolator for disc wire rope

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图 11 坐标系中双折线关系

Figure 11. Double broken line relation in coordinate system

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图 12 改进双线性拟合曲线与试验曲线

Figure 12. Improved bilinear fitting curve vs. test curve

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表 1 滞回环面积与ELR

Table 1. Hysteresis area and ELR

隔振器编号	钢丝绳直径d/mm	钢丝绳环直径D/mm	D/d比值	滞回环面积 S/mm²	能量损失率ELR
4-66	4	66	16.5	354.34	0.110
5-66	5	66	13.2	3 263.15	0.322
5-72	5	72	14.4	720.35	0.148
5-80	5	80	16.0	2 513.50	0.399
6-66	6	66	11.0	3 255.70	0.209
6-72	6	72	12.0	2 037.92	0.184
6-80	7	80	13.3	689.46	0.162

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表 2 不同钢丝绳环个数下滞回环面积与ELR

Table 2. Hysteresis area and ELR with different number of rope rings

类别	绳环个数
类别	4	5	6	7	8
滞回环面积S/mm²	1 388.11	1 551.16	1 779.09	2 122.72	2 513.5
能量损失率ELR	0.377	0.397	0.381	0.383	0.399

下载: 导出CSV

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