面向高量级振动环境的组合弹簧系统动力学设计和试验研究

姚明格, 刘浩, 孙立明, 王灿辉

装备环境工程 ›› 2026, Vol. 23 ›› Issue (5) : 85-91.

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装备环境工程 ›› 2026, Vol. 23 ›› Issue (5) : 85-91. DOI: 10.7643/ issn.1672-9242.2026.05.010
航空航天装备

面向高量级振动环境的组合弹簧系统动力学设计和试验研究

  • 姚明格1,2, 刘浩1,2, 孙立明1,2, 王灿辉1
作者信息 +

Dynamic Design and Experimental Study of Combined Spring System under High-magnitude Vibration

  • YAO Mingge1,2, LIU Hao1,2, SUN Liming1,2, WANG Canhui1
Author information +
文章历史 +

摘要

目的 针对航空航天等装备轴承关节类零部件110g以上高量级振动测试需求,解决现有振动台输出有限、传统放大结构适配性差的技术瓶颈,完善组合弹簧系统在高量级振动领域的动力学设计理论,研制可工程应用的针对不同频率的并联弹簧放大工装。方法 基于弹簧共振原理,建立并联弹簧系统精细化动力学模型,分析共振频率、阻尼比与振幅放大倍数的内在关联。设计针对不同频率的组合弹簧放大工装,通过调整弹簧组合方式优化系统固有频率。搭建实验测试系统,以1g~2g加速度为基础激励,开展共振放大性能验证试验。结果 完成了组合弹簧系统的动力学设计与工装研制,系统共振频率可灵活调节并与激励频率精准匹配。实验验证表明,在26.5 Hz共振频率、43 kg质量负载状态下,不同基础激励实现超过50倍的加速度放大,输出加速度超过110g,理论计算与实验结果误差较小,测试稳定性良好。结论 提出的组合弹簧系统动力学设计方法可行有效,研制的工装可突破现有振动设备极限,实现实验室环境下110g以上高量级振动测试。该研究完善了组合弹簧共振放大理论,为航空航天等领域关键零部件的疲劳与磨损可靠性测试提供了可行技术路径和实验参考。

Abstract

The work aims to address the technical bottlenecks of limited output of existing vibration tables and poor adaptability of traditional amplification structures, improve the dynamic design theory of combined spring systems in the field of high-magnitude vibration, and develop parallel spring amplification tooling applicable to engineering for different frequencies to meet the high-magnitude vibration test requirement of over 110g for bearing joint components of aerospace and other equipment. Based on the spring resonance principle, a refined dynamic model of the parallel spring system was established to analyze the internal correlation between resonance frequency, damping ratio and amplitude amplification factor. Combined spring amplification tooling for different frequencies was designed, and the natural frequency of the system was optimized by adjusting the spring combination mode. An experimental test system was built, and resonance amplification performance verification tests were carried out with the basic excitation of 1 g-2 g acceleration. The results showed that the dynamic design of the combined spring system and the tooling development were completed. The system resonance frequency could be flexibly adjusted and accurately matched with the excitation frequency. Experimental verification indicated that under the resonance frequency of 26.5 Hz and a load mass of 43 kg, the acceleration amplification of more than 50 times was realized under different basic excitations, with the output acceleration exceeding 110 g. The error between theoretical calculation and experimental results was small, and the test stability was excellent. It is concluded that the proposed dynamic design method of the combined spring system is feasible and effective. The developed tooling can break through the limit of existing vibration equipment and realize high-magnitude vibration testing above 110 g in the laboratory environment. This research perfects the resonance amplification theory of combined spring systems, providing a feasible technical approach and experimental reference for the fatigue, wear and reliability testing of key components in aerospace and other fields.

关键词

弹簧振子 / 振动放大 / 高量级振动 / 工装设计 / 实验验证 / 疲劳与磨损

Key words

spring oscillator / vibration amplification / high-magnitude vibration test / tooling design / experimental verification / fatigue and wear

引用本文

导出引用
姚明格, 刘浩, 孙立明, 王灿辉. 面向高量级振动环境的组合弹簧系统动力学设计和试验研究[J]. 装备环境工程. 2026, 23(5): 85-91 https://doi.org/10.7643/ issn.1672-9242.2026.05.010
YAO Mingge, LIU Hao, SUN Liming, WANG Canhui. Dynamic Design and Experimental Study of Combined Spring System under High-magnitude Vibration[J]. Equipment Environmental Engineering. 2026, 23(5): 85-91 https://doi.org/10.7643/ issn.1672-9242.2026.05.010
中图分类号: V416   

参考文献

[1] 乔驿珺, 朱顺杰, 冯元清. 航空航天材料疲劳特性的测试[J]. 上海计量测试, 2025, 52(2): 84-86.
QIAO Y J, ZHU S J, FENG Y Q.Testing of Fatigue Characteristics of Aerospace Materials[J]. Shanghai Measurement and Testing, 2025, 52(2): 84-86.
[2] LORENZ S J, SADEGHI F, TRIVEDI H K, et al.Investigation into Rolling Contact Fatigue Performance of Aerospace Bearing Steels[J]. International Journal of Fatigue, 2023, 172: 107646.
[3] HONG Y S, HU Y P, ZHAO A G.Effects of Loading Frequency on Fatigue Behavior of Metallic Materials—A Literature Review[J]. Fatigue & Fracture of Engineering Materials & Structures, 2023, 46(8): 3077-3098.
[4] 范真, 宦海祥, 李平, 等. 振动环境试验设备与技术的现状及进展[J]. 机械设计与制造, 2006(10): 164-165.
FAN Z, HUAN H X, LI P, et al.Development of Technology and Equipment of Vibration Environment Testing[J]. Machinery Design & Manufacture, 2006(10): 164-165.
[5] 郑艳伟, 刘公平, 赵滨海, 等. 高温高速混合陶瓷球轴承性能分析与试验研究[J]. 航空动力学报, 2024, 39(8): 20210402.
ZHENG Y W, LIU G P, ZHAO B H, et al.Performance Analysis and Test Research of High Temperature and High Speed Hybrid Ceramic Ball Bearings[J]. Journal of Aerospace Power, 2024, 39(8): 20210402.
[6] 姜震, 瞿飞, 袁钦. 移动式通用振动工装的设计及试验验证[J]. 航空电子技术, 2023, 54(1): 47-52.
JIANG Z, QU F, YUAN Q.Design and Test Verification of a Mobile General-Purpose Vibration Tool[J]. Avionics Technology, 2023, 54(1): 47-52.
[7] 高俊超, 牟浩文, 林淡, 等. 基于有限元仿真的大量级振动放大夹具设计[J]. 环境技术, 2024, 42(2): 154-161.
GAO J C, MOU H W, LIN D, et al.Design of Large Scale Vibration Amplification Fixture Based on Workbench Simulation[J]. Environmental Technology, 2024, 42(2): 154-161.
[8] 杨永宝, 张博, 张立昌, 等. 基于弹簧振幅放大的电磁式振动发电设计[J]. 发电技术, 2023, 44(2): 244-252.
YANG Y B, ZHANG B, ZHANG L C, et al.Design of Electromagnetic Vibration Power Generation Based on Spring Amplitude Amplification[J]. Power Generation Technology, 2023, 44(2): 244-252.
[9] WANG L, ZHANG Y X, WANG S P.Design and Performance Research of Multimodal Composite Piezoelectric Energy Harvester Based on Spring Oscillator[J]. Journal of Alloys and Compounds, 2025, 1039: 182936.
[10] 秦承武, 刘景阳, 孙德华, 等. 弹性振幅放大器对参数激励压电俘能器的影响[J]. 压电与声光, 2022, 44(1): 53.
QIN C W, LIU J Y, SUN D H, et al.Influence of Elastic Magnifier on Characteristics of Piezoelectric Energy Harvester under Parametric Excitation[J]. Piezoelectrics & Acoustooptics, 2022, 44(1): 53.
[11] 钟继根, 王东升. 振动试验夹具设计技术发展[J]. 振动与冲击, 2006, 25(S1): 1062-1064.
ZHONG J G, WANG D S.Development of Vibration Test Fixture Design Technology[J]. Journal of Vibration and Shock, 2006, 25(S1): 1062-1064.
[12] 张晓红. 弹簧振子振动图像演示装置[J]. 物理实验, 2017, 37(8): 58-59.
ZHANG X H.Visual Demonstration Instrument of Spring Vibration[J]. Physics Experimentation, 2017, 37(8): 58-59.
[13] 姜先策, 孙双双. 基于弹簧振子的简谐振动图像演示实验的改进设计与制作[J]. 科技视界, 2019, 9(32): 23.
JIANG X C, SUN S S.The Application of Polaroid Light in Engineering[J]. Science&Technology Vision, 2019, 9(32): 23.
[14] 娄仁志, 刘金生, 芮泽皓, 等. 基于弹簧振子原理的失重条件下体重测量装置研制[J]. 航天医学与医学工程, 2019, 30(6): 503-507.
LOU R Z, LIU J S, RUI Z H, et al.Development of Body Mass Measuring Device under Weightless Condition Based on Spring Oscillator Principle[J]. Space Medicine & Medical Engineering, 2019, 30(6): 503-507.
[15] 王光庆, 岳玉秋, 展永政, 等. 宽频压电振动能量采集器的实验研究[J]. 振动测试与诊断, 2017, 37(2): 261-265.
WANG G Q, YUE Y Q, ZHAN Y Z, et al.Experimental Researches for Broadband Piezoelectric Vibration Energy Harvester[J]. Journal of Vibration, Measurement & Diagnosis, 2017, 37(2): 261-265.
[16] 喻琴, 聂国柱, 赵玉杰, 等. 放大工装及响应谱控制在振动试验中的应用[J]. 机械研究与应用, 2024, 37(4): 184-186.
YU Q, NIE G Z, ZHAO Y J, et al.Application of Amplifying Tool and Response Spectrum Control in Vibration Test[J]. Mechanical Research & Application, 2024, 37(4): 184-186.
[17] 杨晶然, 赵丽明, 周云松, 等. 弹簧质量对振动及波动特性的影响[J]. 首都师范大学学报(自然科学版), 2021, 42(5): 32-36.
YANG J R, ZHAO L M, ZHOU Y S, et al.Influence of Spring Mass on Vibration and Wave Characteristics[J]. Journal of Capital Normal University (Natural Science Edition), 2021, 42(5): 32-36.
[18] 朱亮, 周涛, 吴乙万, 等. 正负刚度并联隔振系统建模与性能分析[J]. 噪声与振动控制, 2022, 42(5): 268-273.
ZHU L, ZHOU T, WU Y W, et al.Modeling and Performance Analysis of Vibration Isolation Systems with Parallel Connection of Positive and Negative Stiffness[J]. Noise and Vibration Control, 2022, 42(5): 268-273.
[19] 薛聪聪, 张万福, 田海洋, 等. 一种质量可调准零刚度隔振系统设计及动力学特性研究[J]. 机械工程学报, 2025, 61(1): 209-219.
XUE C C, ZHANG W F, TIAN H Y, et al.Design and Dynamic Characteristics of a Quasi-Zero Stiffness Vibration Isolation System with Adjustable Mass[J]. Journal of Mechanical Engineering, 2025, 61(1): 209-219.
[20] 卢华喜, 罗青峰, 周瑜健, 等. 地铁引起装配式结构振动的组合碟形弹簧隔振研究[J]. 噪声与振动控制, 2022, 42(3): 196-202.
LU H X, LUO Q F, ZHOU Y J, et al.Study on the Effect of Combined Disc Spring Isolation on Assembled Structure Vibration in Subways[J]. Noise and Vibration Control, 2022, 42(3): 196-202.
[21] 张青鹏, 张童玉, 单莹, 等. 振动工装的实践与分析[J]. 制造业自动化, 2024, 46(9): 215-220.
ZHANG Q P, ZHANG T Y, SHAN Y, et al.Practice and Analysis of Vibration Fixtures[J]. Manufacturing Automation, 2024, 46(9): 215-220.
[22] 陈家焱, 王海东, 周建川, 等. 多点激励振动试验控制技术进展[J]. 振动与冲击, 2011, 30(3): 69-73.
CHEN J Y, WANG H D, ZHOU J C, et al.Progress in Multi-Exciter Vibration Testing Control Technology[J]. Journal of Vibration and Shock, 2011, 30(3): 69-73.
[23] 许煜, 刘景元, 程礼, 等. 一种共振频率可调的振动放大器设计[J]. 实验力学, 2018, 33(4): 599-609.
XU Y, LIU J Y, CHENG L, et al.On the Design of a Vibration Amplifier with Adjustable Resonance Frequency[J]. Journal of Experimental Mechanics, 2018, 33(4): 599-609.
[24] BRANCATI R, DE FALCO D, DI MASSA G, et al.An Air Spring Resonant Vibration Exciter for Large Structures[J]. Machines, 2024, 12(2): 131.
[25] ADHIKARI S, CHOWDHURY S.Advanced Vibration Mitigation with Novel Stiffened Inertial Amplifier Designs[J]. Journal of Earthquake Engineering, 2025, 29(13): 2768-2803.
[26] SMITH M C.Synthesis of Mechanical Networks: The Inerter[J]. IEEE Transactions on Automatic Control, 2002, 47(10): 1648-1662.
[27] 马爱军, 石蒙, 刘洪英, 等. 应用谐振装置在电动振动台上实现高量级冲击响应谱的仿真研究[J]. 航天器环境工程, 2011, 28(5): 427-430.
MA A J, SHI M, LIU H Y, et al.Simulations of High Level Shock Response Spectrum Test Using Resonant Fixture on an Electrodynamics Shaker[J]. Spacecraft Environment Engineering, 2011, 28(5): 427-430.
[28] 王小强, 李斌, 邓传锦, 等. 航空航天用CQFP封装复杂集成电路振动夹具优化设计[J]. 航天器环境工程, 2021, 38(6): 662-669.
WANG X Q, LI B, DENG C J, et al.Optimized Design of Vibration Fixture for CQFP Packaged Complex Integrated Circuit Used in Aerospace[J]. Spacecraft Environment Engineering, 2021, 38(6): 662-669.
[29] 邵敏强, 利云云, 周徐斌, 等. 一类双层高静低动刚度隔振系统试验研究[J]. 振动工程学报, 2025, 38(1): 47-53.
SHAO M Q, LI Y Y, ZHOU X B, et al.Experimental Investigation on a Two-Stage High-Static-Low-Dynamic Stiffness Vibration Isolation System[J]. Journal of Vibration Engineering, 2025, 38(1): 47-53.

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