摘要
针对在强振动下双限位隔振系统刚度呈非线性的问题,开展系统动力学行为研究。首先,建立一种强非线性系统动力学模型;其次,采用平均法进行解析求解,得到幅频响应解析式,并通过扫频试验验证;最后,推导出系统的绝对位移传递率,进一步分析各参数对动态响应特性的影响规律。结果表明:理论计算与试验结果具有较好的一致性;在无量纲下,各参数对共振幅值、共振频率范围及解的稳定性具有显著影响。对于隔振器,在一定范围内,适当减小非线性刚度可降低主共振及高频区绝对位移传递率,但低频区略有增加;增大阻尼比可有效抑制主共振峰值,提高隔振效果,但在高频区同一频率比下的传递率增大。对于限位器,其参数对非主共振区几乎没有影响,在主共振区,适当增大阻尼比或减小线性刚度、非线性刚度及间隙均能抑制传递率,有利于提高系统的隔振性能。该研究为双限位隔振系统的设计和参数优化提供了理论支撑。
Here,aiming at the nonlinear stiffness problem of a vibration isolation system with dual-displacement restrictor under strong vibration,the system dynamic behavior was studied.Firstly,a strong nonlinear system dynamic model was established.Secondly,the average method was used for analytical solving to obtain the amplitude-frequency response analytical expression,which was verified with frequency-sweeping tests.Finally,the absolute displacement transmission rate of the system was derived,and effects of various parameters on dynamic response characteristics were further analyzed.The results showed that theoretical calculations and test results have better consistency;in dimensionless,various parameters significantly affect resonance amplitude,resonance frequency range and solution stability;for vibration isolator,appropriately reducing nonlinear stiffness within a certain range can lower main resonance and absolute displacement transmission rate in high-frequency region,but slightly increase them in low-frequency region;increasing damping ratio can effectively suppress main resonance peak value and improve the vibration isolation effect,but the transmission rate increases at the same frequency ratio in high-frequency region;for restrictors,their parameters have almost no effects on non-main resonance zone;in main resonance zone,appropriately increasing damping ratio or reducing linear stiffness,nonlinear stiffness and clearance can suppress the transmission rate,which is beneficial for improving system vibration isolation performance.This study can provide theoretical support for design and parametric optimization of vibration isolation systems with restrictors.
作者
武双双
张磊
冯麟涵
闫明
金映丽
WU Shuangshuang;ZHANG Lei;FENG Linhan;YAN Ming;JIN Yingli(College of Mechanical Engineering,Shenyang University of Technology,Shenyang 110870,China;Naval Research Academy,Beijing 100161,China)
出处
《振动与冲击》
北大核心
2025年第17期10-19,共10页
Journal of Vibration and Shock
基金
国家科技重大专项(2017-Ⅴ-0002-0051,J2019-Ⅰ-0017-0016)。
关键词
双限位隔振系统
平均法
幅频响应
绝对位移传递率
vibration isolation system with dual-displacement restrictor
average method
amplitude-frequency response
absolute displacement transmission rate