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| Optimal parameters of dynamic vibration absorber with grounded negative stiffness on a flexible foundation by H2 optimization method |
| LIU Dong1, SU Zhiwei1,2, ZHENG Zhiwei1, YANG Yong3, ZHANG Xiaohan1, LI Yang1, HUANG Xiuchang1,3 |
1.State Key Laboratory of Mechanical System and Vibration，Division of Advanced Technology and Equipment, Shanghai Jiao Tong University, Shanghai 200240，China;
2.Faculty of Intelligent Manufacturing, Wuyi University, Jiangmen 529020,China;
3.National Engineering Research Center of Special Equipment and Power System for Ship and Marine Engineering, Shanghai 200240,China |
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Abstract Aiming at the optimal parameters of the dynamic vibration absorber (DVA) with grounded negative stiffness on the flexible foundation in practical engineering, the dynamic model of the flexible foundation represented by a single degree of freedom (DOF) system without damping is established. The analytical expressions of the optimal parameters about the mass ratio and the negative stiffness ratio are obtained using the H2-optimization method under the optimization object of controlling the force transmissibility to the flexible foundation. The effect is verified under simple harmonic excitation and random excitation and the parameter influence analysis is carried out under different foundation parameters. The results show that when the goal is to control the force transmissibility to the flexible foundation, the optimal parameters only depend on the mass ratio of vibration absorber and the stiffness ratio of the foundation to the main system, but have nothing to do with the mass ratio of the foundation. When the coupling between the foundation and the main system is strong, the DVA with grounded negative stiffness is still effective, however the Voigt DVA would fail.
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Received: 06 December 2022
Published: 28 December 2022
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