板结构多模态动力吸振设计方法
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中国海洋大学

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国家自然科学基金项目(面上项目,重点项目,重大项目)


Design method of multimode dynamic vibration absorption for plate structure
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Ocean University of China

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The National Natural Science Foundation of China (General Program, Key Program, Major Research Plan)

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    摘要:

    本文针对海洋平台动力吸振研究中存在的多模态耦合振动吸振效果差的问题,研究了抑制平台板结构振动的动力吸振器的设计方法。以薄板为具体研究对象,建立了薄板与动力吸振器的数学模型,分析了动力吸振器质量比的选择问题,讨论了在离散模态和密集模态两种情况下动力吸振器的最佳安装位置,给出了动力吸振器阻尼比和频率比的优化设计公式。在上述研究基础上,总结了平台板结构动力吸振方法。以一个舱室仿真模型为应用对象,对参与舱壁振动的5阶模态进行振动控制,减振效果最高为92.3%。对动力吸振器进行补正设计后,针对第一、五阶模态的减振效果分别提升了0.9%和6.1%。以上结果验证了平台板结构动力吸振方法的有效性,该方法对海洋平台的振动防护具有一定的指导意义。

    Abstract:

    In order to solve the problem of poor vibration absorption effect of multi-modal coupling vibration in the study of dynamic vibration absorption of offshore platform, the design method of dynamic vibration absorber (DVA) for suppressing the vibration of platform plate structure is studied in this paper. Taking thin plate as the specific research object, the mathematical model of thin plate and DVA is established, the selection of mass ratio of DVA is analyzed, the optimal installation position of DVA in discrete mode and dense mode is discussed, and the optimal design formula of damping ratio and frequency ratio of DVA is given. Based on the above research, the dynamic vibration absorption method of plate structure on platform is summarized. Taking a cabin simulation model as the application object, the vibration control of the five modes involved in bulkhead vibration is carried out, and the maximum vibration reduction effect is 92.3%. After the modification and design of the dynamic absorber, the vibration reduction effect of the first and fifth modes is improved by 0.9% and 6.1% respectively. The results above verify the effectiveness of the dynamic vibration absorption method of platform structure, which has certain guiding significance for vibration protection of offshore platforms.

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  • 收稿日期:2023-03-14
  • 最后修改日期:2023-03-27
  • 录用日期:2023-03-29
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