含负刚度动力吸振的混合隔振系统振动冲击响应特性分析
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摘要
[目的]针对舰船大型机械设备振动冲击隔离对高传递损失减振抗冲元器件的需求,[方法]基于负刚度动力吸振机理,构建一种含负刚度(NS)元件的动力吸振器(DVA)混合隔振系统。建立刚性基础上的无量纲动力学模型,在激励力作用下,运用不动点法获得隔振系统最优传递时的最优刚度比和阻尼比。基于龙格—库塔(Runge-Kutta)方法研究不同冲击脉宽下具有最优参数的隔振系统在基础激励下的冲击响应,并与传统动力吸振器的冲击响应进行比较分析。[结果]结果表明:在一定参数下,该混合隔振系统具有无谐振峰的传递特性;在不同脉宽下,其冲击加速度响应和相对位移均比传统动力吸振器的要小。[结论]所提含负刚度动力吸振的混合隔振系统可为大载荷、高传递损失的减振抗冲器设计提供一种新思路。
[Objectives] To meet the demand of on-board machinery for components with high transmission loss and vibration and shock isolation, [Methods] a hybrid vibration isolation system using Dynamic Vibration Absorber(DVA) with Negative Stiffness(NS) is proposed. Then the non-dimensional dynamic model of the proposed isolation system with rigid base is established, and the fixed-point method is employed to obtain the optimal parameters of stiffness ratio and damping ratio under the influence of exciting force. Runge-Kutta method is adopted to study the shock response of the proposed isolation system with optimal parameters by using different shock pulse widths under base excitation, and then this shock response is compared with that of the traditional DVA. [Results] It shows that the proposed isolation system has a transmission characteristic without a resonance peak by using certain parameters. The shock acceleration response and the relative displacement of the proposed isolation system are smaller than those of the traditional DVA by using different pulse widths. [Conclusions] The proposed isolation system provides a new approach for the design of the vibration absorber with high load carrying capacity and high transmission loss.
[Objectives] To meet the demand of on-board machinery for components with high transmission loss and vibration and shock isolation, [Methods] a hybrid vibration isolation system using Dynamic Vibration Absorber(DVA) with Negative Stiffness(NS) is proposed. Then the non-dimensional dynamic model of the proposed isolation system with rigid base is established, and the fixed-point method is employed to obtain the optimal parameters of stiffness ratio and damping ratio under the influence of exciting force. Runge-Kutta method is adopted to study the shock response of the proposed isolation system with optimal parameters by using different shock pulse widths under base excitation, and then this shock response is compared with that of the traditional DVA. [Results] It shows that the proposed isolation system has a transmission characteristic without a resonance peak by using certain parameters. The shock acceleration response and the relative displacement of the proposed isolation system are smaller than those of the traditional DVA by using different pulse widths. [Conclusions] The proposed isolation system provides a new approach for the design of the vibration absorber with high load carrying capacity and high transmission loss.
引文
[1]汪玉,华宏星.舰船现代冲击理论及应用[M].北京:科学出版社,2005.Wang Y,Hua H X.Modern shock theory and application to warships[M].Beijing:Science press,2005(in Chinese).
[2]张春辉,汪玉,温肇东,等.新型气液耦合冲击耗能器的冲击响应特性研究[J].船舶力学,2015,19(7):859-865.Zhang C H,Wang Y,Wen Z D,et al.Characteristics of shock response of a novel gas-liquid coupling shock damper[J].Journal of Ship Mechanics,2015,19(7):859-865(in Chinese).
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[4]Ledezma-ramirez D F,Ferguson N S,Brennan M J.Shock isolation using an isolator with switchable stiffness[J].Journal of Sound and Vibration,2011,330(5):868-882.
[5]Ledezma-ramirez D F,Ferguson N S,Brennan M J.An experimental switchable stiffness device for shock isolation[J].Journal of Sound and Vibration,2012,331(23):4987-5001.
[6]Huang X C,Chen Y,Hua H X,et al.Shock isolation performance of a nonlinear isolator using Euler buckled beam as negative stiffness corrector:theoretical and experimental study[J].Journal of Sound and Vibration,2015,345:178-196.
[7]Ibrahim R A.Recent advances in nonlinear passive vibration isolators[J].Journal of Sound and Vibration,2008,314(3/4/5):371-452.
[8]Antoniadis I A,Kanarachos S A,Gryllias K,et al.Astiffness based vibration absorption concept[J].Journal of Vibration and Control,2018,24(3):588-606.
[9]Shen Y J,Peng H B,Li X H,et al.Analytically optimal parameters of dynamic vibration absorber with negative stiffness[J].Mechanical Systems and Signal Processing,2017,85:193-203.d DVA-based hybrid system with NS when=0.005
[2]张春辉,汪玉,温肇东,等.新型气液耦合冲击耗能器的冲击响应特性研究[J].船舶力学,2015,19(7):859-865.Zhang C H,Wang Y,Wen Z D,et al.Characteristics of shock response of a novel gas-liquid coupling shock damper[J].Journal of Ship Mechanics,2015,19(7):859-865(in Chinese).
[3]楼京俊,朱石坚,唐斯密.Ruzicka隔振器在冲击隔离中的特性和作用[J].噪声与振动控制,2011,31(4):37-41.Lou J J,Zhu S J,Tang S M.Study on effect of Ruzicka isolator on shock isolation[J].Noise and Vibration Control,2011,31(4):37-41(in Chinese).
[4]Ledezma-ramirez D F,Ferguson N S,Brennan M J.Shock isolation using an isolator with switchable stiffness[J].Journal of Sound and Vibration,2011,330(5):868-882.
[5]Ledezma-ramirez D F,Ferguson N S,Brennan M J.An experimental switchable stiffness device for shock isolation[J].Journal of Sound and Vibration,2012,331(23):4987-5001.
[6]Huang X C,Chen Y,Hua H X,et al.Shock isolation performance of a nonlinear isolator using Euler buckled beam as negative stiffness corrector:theoretical and experimental study[J].Journal of Sound and Vibration,2015,345:178-196.
[7]Ibrahim R A.Recent advances in nonlinear passive vibration isolators[J].Journal of Sound and Vibration,2008,314(3/4/5):371-452.
[8]Antoniadis I A,Kanarachos S A,Gryllias K,et al.Astiffness based vibration absorption concept[J].Journal of Vibration and Control,2018,24(3):588-606.
[9]Shen Y J,Peng H B,Li X H,et al.Analytically optimal parameters of dynamic vibration absorber with negative stiffness[J].Mechanical Systems and Signal Processing,2017,85:193-203.d DVA-based hybrid system with NS when=0.005