基于非线性能量汇胞元的浮筏隔振结构减重研究  

Weight reduction design of floating raft vibration isolation structure by using nonlinear energy sink cell

作　　者：王红利 殷学文[1] 丁虎[2] WANG Hong‑li;YIN Xue‑wen;DING Hu(China Ship Scientific Research Center,Wuxi 214082,China;School of Mechanics and Engineering Science,Shanghai University,Shanghai 200444,China)

机构地区：[1]中国船舶科学研究中心,江苏无锡214082 [2]上海大学力学与工程科学学院上海市应用数学和力学研究所,上海200444

出　　处：《振动工程学报》2024年第10期1739-1746,共8页Journal of Vibration Engineering

基　　金：国家杰出青年科学基金资助项目(12025204)。

摘　　要：针对舰艇浮筏隔振系统设计技术瓶颈,特别是严格的重量和空间尺寸限制难题,基于非线性能量汇(Nonlinear Energy Sink,NES)的宽频自适应性能,本文提出应用NES胞元(NES cell)的浮筏隔振结构设计减重方法。NES胞元分别并联于浮筏隔振系统的所有子结构。建立4自由度的浮筏隔振系统和耦合NES胞元的减振系统的动力学模型,应用谐波平衡法(Harmonic Balance Method,HBM)推导出非线性系统的稳态响应满足的近似解析表达式,并利用龙格-库塔法(Runge-Kutta,RK)进行了数值验证。通过力传递率响应对比了不同的系统总重量与胞元数目下的振动抑制效果,并分析了胞元数目和系统总重量对系统振动的影响。结果表明,NES胞元能够在系统总重量降低的同时有效降低浮筏隔振系统全部模态的振动传递率。Floating raft vibration isolation systems in the ships or submarines have the requirement of low weight and small volume.To reduce the weight of floating raft vibration isolation systems and improve its vibration suppression effect,nonlinear energy sink cell(NES cell)is applied to the structural optimization of the floating raft vibration isolation system.NES cells are placed on all the substructures of the floating raft system.The mechanical model of the floating raft system with four degrees of freedom and the vibration damping system with NES cell are established.The modal analysis of the floating raft system is carried out.The approximate analytical expression of steady-state response for nonlinear system is derived by Harmonic balance method(HBM)and verified by Runge-Kutta(RK).The vibration suppression effect under the different total weight and NES cell number is compared by force transitivity response,and the influence of the NES cell number and total weight of the system for the 1st-order mode is analyzed.The results show that NES cell can effectively improve the vibration suppression efficiency of the floating raft system for all the modes while reducing the total weight of the system and realize the structural optimization of the floating raft system effectively.

关 键 词：浮筏隔振系统 非线性能量汇胞元 结构优化 力传递率 

分 类 号：TB535[理学—物理] O322[理学—声学]