| 非线性能量阱振动抑制效果理论分析与试验研究 |
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| 引用本文： | 楼京俊,李爽,柴凯,卢锦芳.非线性能量阱振动抑制效果理论分析与试验研究[J].工程力学,2022,39(6):202-211. |
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| 作者姓名： | 楼京俊 李爽 柴凯 卢锦芳 |
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| 作者单位： | 1.海军工程大学舰船与海洋学院，武汉 430033 |
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| 基金项目： | 国家自然科学基金项目(51509253，51679245，51579242)；湖北省自然科学基金项目(2018CFB182) |
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| 摘 要： |
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| 关 键 词： | 非线性能量阱 振动抑制效果 增量谐波平衡法 参数优化 柔性铰链 |
| 收稿时间： | 2021-03-27 |
THEORETICAL AND TEST RESEARCH ON THE VIBRATION SUPPRESSION EFFECT OF NONLINEAR ENERGY SINK |
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| Affiliation: | 1.College of Power Engineering, Naval University of Engineering, Wuhan 430033, China2.College of Naval Architecture and Ocean, Naval University of Engineering, Wuhan 430033, China |
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| Abstract: | Aiming at eliminating the broadband line spectrum generated by the periodic rotation of submarine mechanical equipment, the vibration suppression effect was investigation and the structural parameter optimization of nonlinear energy sink (NES) were carried out under harmonic excitation. The dynamic model of mechanical equipment coupled with the nonlinear energy sink was established, and the periodic motion and stability of the coupled system were analyzed by incremental harmonic method, arc-length continuation method and Floquet theory. The influence of damping, mass ratio and stiffness on the vibration suppression effect of the nonlinear energy sink was discussed by taking the system vibration energy as evaluation criterion. Furthermore, the optimized damping and stiffness were obtained through local optimization algorithm, also the robustness of the vibration suppression effect was studied. The results show that the proposed method is in good agreement with Runge-Kutta numerical method, which can effectively construct the complete image of the coupled system periodic solution. Besides, weak damping is a prerequisite for a nonlinear energy sink to have good vibration suppression effect and robustness within a range of 20% of excitation frequency and of 50% amplitude after parameter optimization. A NES, parallel with vertical linear springs and constituted by flexible hinges under preloaded state, was proposed and related test research was also carried out to verify the theoretical findings. |
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