剪切模量对梁的磁橡胶约束阻尼特性的影响
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国家自然科学基金资助项目(10472035)


Effect of shear modulus on damping performance of a beam with magnetic rubber layer damping
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    摘要:

    基于周期耗能相等的原理,将磁橡胶约束阻尼悬臂梁(MRLD)与传统的约束阻尼悬臂梁(CLD)等价,计算MRLD的模态损耗因子,研究了阻尼层剪切模量Gv对MRLD梁阻尼特性的影响.研究表明,在给定激励位移下,当Gv较小时, MRLD与CLD的阻尼一样.增加Gv引起阻尼层滑移,在Gv增加的开始阶段,MRLD表现出比CLD更好的阻尼特性,但进一步提高Gv,MRLD的阻尼性能开始降低并将低于CLD.此外,增加位移激励,使MRLD的阻尼大于CLD阻尼的有效剪切模量Gv的区域向剪切模量小的方向移动;所对应最大阻尼的剪切模量Gvopt也如此.

    Abstract:

    The modal loss factor η of a cantilever beam with magnetic rubber layer damping (MRLD) was obtained based on the derived equation of the same beam with conventional constrained layer damping (CLD) by equating the dissipation energy by MRLD to that by CLD in a vibrating cycle. The effect of damping layer shear modulus Gv on damping performance of the beam with MRLD was investigated. The results reveal that ,under a given displacement excitation W0, MCLD is the same as CLD for small Gv. Increasing Gv makes damping layers slide ,as a result, MRLD shows itself better damping than that of CLD in the beginning, whereas η decreases as Gv continues to rise until η of MRLD is less than that of CLD. Moreover, increasing W0 makes the valid region of Gv, for which MRLD exceeds CLD in damping property, move to the region of small Gv. So does the corresponding optimal shear modulus Gvopt for which the maximal damping can be obtained using MRLD.

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李明,郑慧明,徐江涛,何锃.剪切模量对梁的磁橡胶约束阻尼特性的影响[J].动力学与控制学报,2008,6(2):181~185; Li Ming, Zheng Huiming, Xu Jiangtao, He Zeng. Effect of shear modulus on damping performance of a beam with magnetic rubber layer damping[J]. Journal of Dynamics and Control,2008,6(2):181-185.

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  • 收稿日期:2007-08-13
  • 最后修改日期:2008-05-15
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