动力吸振器基础变形及参数优化  

Foundation variant and parameter optimization of dynamic vibration absorber

作　　者：隋鹏 申永军 温少芳[2] SUI Peng;SHEN Yong-jun;WEN Shao-fang(School of Mechanical Engineering,Shijiazhuang Tiedao University,Shijiazhuang 050043,China;State Key Laboratory of Mechanical Behavior and System Safety of Traffic Engineering Structures,Shijiazhuang Tiedao University,Shijiazhuang 050043,China)

机构地区：[1]石家庄铁道大学机械工程学院,河北石家庄050043 [2]石家庄铁道大学省部共建交通工程结构力学行为与系统安全国家重点实验室,河北石家庄050043

出　　处：《振动工程学报》2023年第4期979-987,共9页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(U1934201,12072206);河北省教育厅重点项目(ZD2020310)。

摘　　要：在Voigt吸振器的基础上进行变形,设计了一种接地刚度吸振器,提出了基于固定点理论的改进方法,计算出系统固定点坐标的闭式解。使用解析和数值方法研究了主系统响应最大幅值,并根据固定点幅值特征进行全局优化,推导出最优固有频率比和最优阻尼比设计公式。通过数值仿真验证了解析解的正确性。在谐波力激励下,与局部、全局优化后的Voigt吸振器和接地阻尼吸振器进行对比,发现接地刚度吸振器经全局优化后的响应峰值和接地阻尼吸振器一致,均小于Voigt吸振器的全局优化峰值和接地阻尼吸振器的局部优化峰值,减振频带宽度最大。与同样应用全局优化的接地阻尼吸振器相比,接地刚度吸振器在接地阻尼吸振器的减振频带内减振性能更好,达到常用阻尼比所需的子系统质量更小。Deformed on the basis of the Voigt vibration absorber,a grounded stiffness vibration absorber is presented,and an im⁃proved method based on the fixed-point theory is proposed to calculate the closed-form solution of the fixed-point coordinates of the system.Analytical and numerical methods are used to study the maximum amplitude of primary system response,and global opti⁃mization is performed according to the fixed-point amplitude characteristics.The design formulas for the optimal natural frequency ratio and the optimal damping ratio are derived.Numerical simulation is used to verify the correctness of the analysis.Under the ex⁃citation of harmonic force,compared with the local and global optimized Voigt vibration absorber and grounded damper vibration absorber,it is found that the response peak of the grounded stiffness vibration absorber after the global optimization is consistent with the grounded damper vibration absorber.Both are smaller than the global optimized peak value of Voigt vibration absorber and the local optimized peak value of grounded damper vibration absorber.The vibration damping bandwidth of the grounded stiffness vibration absorber is the largest.Compared with the grounded damper vibration absorber after global optimization,the grounded stiffness vibration absorber has better vibration damping performance in the vibration damping frequency band of the grounded damper vibration absorber.And the mass of the subsystem required to achieve the common damping ratio is much smaller.

关 键 词：动力吸振器 接地刚度 参数优化 固定点理论 

分 类 号：O328[理学—一般力学与力学基础] TH113.1[理学—力学]