非线性三参数隔振器动力学特性研究
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O328;TB535

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国家自然科学基金资助项目(51405014);中央高校基本科研业务费(FRF-MP-20-32)


Dynamic performance of a three-parameter isolator with nonlinear characteristic
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    摘要:

    在保持三参数隔振器高频段良好的隔振效果基础上,采用X形结构引入几何非线性可有效抑制其谐振频段的动态响应。建立含X形结构的非线性三参数隔振器的动力学模型;采用谐波平衡法推导出其动态响应的解析表达式;通过与时域数值解和实验数据对比,验证了非线性三参数隔振器模型解析解的正确性。与传统两参数隔振器和传统三参数隔振器的力传递率相比,非线性三参数隔振器可以显著降低其谐振频率幅值;而高频区域的减隔振性能影响较小。讨论设计参数,如刚度比y1和y?、阻尼系数Ca、初始夹角0?、激励力幅值F,对隔振系统传递特性的影响。研究表明,刚度比y?和y?,阻尼系数C。和初始夹角0?可影响隔振器在谐振频率和高频区域的减隔振效果,激励力幅值F?则对系统减隔振性能无影响。通过合理的参数选择,可使非线性三参数隔振器在谐振频率衰减效果优于传统三参数隔振器,且保证在高频区域的隔振性能不变。

    Abstract:

    A nonlinear three parameter isolator geometrical nonlinear characteristics is provided by using X-shaped structure for further controlling dynamic responses near the resonance frequency when the isolation performance in high frequency band is kept unaffected.A compound dynamic model of nonlinear three parameter isolator with the X-shaped structure is presented.The analyticalexpressions of the nonlinear three parameter isolator's dynamic responses are derived by using the harmonic balanced method(HBM).The effectiveness of the analytical solutions of the nonlinear three parameter isolator model is verified by comparing withthe simulation solutions and experimental data in time domain.Compared with the traditional two parameter and three parametercounterparts,the nonlinear three parameter isolator can reduce the resonance amplitude apparently and shift the corresponding peakfrequency to higher,meanwhile,exhibit limited effect on isolating performance in high frequency region.In the next section,thisresearch puts focus on the ffects from the designing parameters that is stifess ratio y?and y?,damping coefficient C,initial angle0:and the excitation force amplitude Foon the force transm issibility of the nonlinear three parameter isolator model.The calculatingresults show that stiffness ratio y?and y?,damping coefficient Caand initial angle0,the stifress ratio can be used to adjust the isolating performance of the nonlinear isolator effectively.However,the influences of the excitation force amplitude Focan be ignored.The vibration isolation performance of the nonlinear three parameter isolator outperforms than the traditional one when choosingproper design parameters around the resonance frequency,while the dynamic performance will not be changed in the high frequency region.

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刘海平,申大山,赵鹏鹏.非线性三参数隔振器动力学特性研究[J].振动工程学报,2021,34(3):490~498.[LIU Hai-ping, SHEN Da-shan, ZHAO Peng-peng. Dynamic performance of a three-parameter isolator with nonlinear characteristic[J]. Journal of Vibration Engineering,2021,34(3):490~498.]

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  • 在线发布日期: 2025-04-09
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