摘要
为了研究用含分数阶导数描述的液力惯容器的非线性隔振系统特性,建立无量纲动力学模型。在无阻尼控制时,通过对比力传递率特性指标讨论参数对隔振系统性能的影响。结果表明分数阶惯容器能够反映液力式惯容器的多相特性,既有惯性作用又有一定阻尼作用,相比整数阶惯容器在隔振效果上有一定优势,但同样不能有效抑制非线性效应。在忽略非线性项的前提下,考虑系统含分数导数的特殊情况,详细介绍分数阶临界阻尼设计过程。仿真试验结果表明,所设计临界阻尼可以保证系统在自由振动时单调递减,而且考虑非线性项后,相比整数阶惯容器能够更好抑制非线性效应。
The dimensionless dynamic model is established to analyze the nonlinear vibration isolation system characteristics of the hydraulic inerter with fractional derivatives.In the case of undamped control,the influence of the parameters on the performance of the vibration isolation system is compared and discussed through the specific index of force transmissibility.The results show that the fractional order inerter can reflect the multiphase characteristics of the hydraulic inerter,namely it has both inertia and damping effects.Compared with the integral order inerter,it has some advantages in vibration isolation effect,but it can’t effectively suppress the nonlinear effect either.Considering the special case of the system with fractional derivatives,the design process of fractional order critical damping is introduced in detail.The simulation results show that the designed critical damping can ensure the monotonic decrease of free vibration of the system,and the nonlinear effect can be better suppressed than that of the integer order inerter when the nonlinear term is considered.
作者
陈炎冬
徐俊
王芃
陈宁
CHEN Yandong;XU Jun;WANG Peng;CHEN Ning(College of Mechanical and Electrical Engineering,Wuxi Taihu University,Wuxi 214064,Jiangsu,China;College of Mechanical and Electronic Engineering,Nanjing Forestry University,Nanjing 210037,China)
出处
《噪声与振动控制》
CSCD
北大核心
2021年第2期200-205,共6页
Noise and Vibration Control
基金
国家自然科学基金资助项目(11272159)
江苏省高校自然科学研究资助项目(18KJD460006)
江苏高校“青蓝工程”资助项目。
关键词
振动与波
分数阶惯容器
力传递率
非线性隔振系统
临界阻尼
反馈控制
vibration and wave
fractional order inerter
force transmissibility
nonlinear vibration isolation system
critical damping
feedback control