调谐质量阻尼器对海洋平台的减振效果分析

目前调谐质量阻尼器(TMD)的研究和设计多数是依据结构的第一阶模态进行的，忽略了TMD对结构其它模态的影响。为了明确TMD是否会对结构的高阶模态造成不利的影响以及影响的程度，论文采用模态分析法将海洋平台-TMD系统进行模态分解，推导出系统各阶模态的状态空间方程。并以一海洋平台为算例，讨论TMD针对结构的某一摸态进行设计时对各阶模态响应的减振效果，仿真的结果表明TMD对设计的模态有较好的减振效果，但对平台的其它模态响应的减振幅度有限，甚至产生不利影响，使某些模态的振动响应增幅较大。

Study on the Control Effect of Tuned Mass Damper on Offshore Platforms

The objective of this paper is to investigate the control effect of tuned mass damper for structures in different modes. At present, the design of TMD is mostly based on its first mode that it can reduce structural vibration only in a single frequency. And it is not yet clear whether TMD can reduce the vibration of structure in other modes. So this paper utilizes the modal analysis theory to decompose the offshore platform-TMD system into different modes and deduces the state space equation of deferent modes. A numerical example applied to a typical offshore platform is presented to investigate the control effect for different modes of structures in condition that the TMD is designed according to some mode. Numerical results show that TMD can reduce efficiently the modal response on which the TMD is designed, while to other modes it reduce inefficiently and even increase the modal response.