一种适用于复合材料层合梁的轻质非线性吸能器
A Light-Weight Nonlinear Energy Absorber Suitable for Composite Laminated Beam
摘要: 文章提出了一种新型的非线性振动控制装置——轻质非线性吸能器(Light-Weight Nonlinear Energy Absorber, LWNEA)，旨在解决轻量化复合材料结构的过度振动问题。通过理论分析与试验相结合，验证了LWNEA的减振效果。在理论方面，基于广义哈密顿原理和牛顿第二定律，建立了具有LWNEA的复合材料层合梁的动力学方程，采用伽辽金截断法对这些方程进行解耦。通过谐波平衡法和龙格–库塔法进行了解析和数值求解，两种方法相互印证。讨论了LWNEA在不同激励幅值下的减振效果。在试验方面，通过动力学试验和有限元方法对系统的固有频率进行了分析，验证了理论分析的正确性。此外，还通过试验讨论了LWNEA的减振效果以及加载位置的影响，试验结果与理论结果具有相同的变化趋势。总的来说，这项工作表明LWNEA可以取得显著的减振效果，并且对系统的固有频率影响较小。因此，本研究将为轻量化复合材料结构的振动抑制提供重要的研究思路。
Abstract: This paper proposes a novel nonlinear vibration control device called the light-weight nonlinear energy absorber (LWNEA). It aims to solve the problem of excessive vibration of light-weight composite structures. The vibration suppression effect of LWNEA is validated by combining theoretical analysis with experiments. In the theoretical field, based on the Hamilton’ principle and the Newton’ second law, the dynamic equations of the composite laminated beam with LWNEA are established. These equations are decoupled by the Galerkin truncation method. The harmonic balance method and the Runge-Kutta method are used for analytical and numerical solutions, and the two methods confirm each other. The vibration suppression effect of LWNEA under different excitation amplitudes is discussed. In the experimental field, the natural frequency of the system is analyzed by dynamic experiments and the finite element method, which validate the correctness of the theoretical analysis. Moreover, the vibration suppression effect and the influence of the loading position of LWNEA are discussed through experiments. The experimental results show the same change trend as the theoretical results. In general, this work shows that LWNEA can achieve a significant vibration suppression effect, and the impact on the natural frequency of the system is small. Therefore, this study will provide an important research idea for vibration suppression of light-weight composite structures.
文章引用：黄程. 一种适用于复合材料层合梁的轻质非线性吸能器[J]. 声学与振动, 2024, 12(4): 103-117. https://doi.org/10.12677/ojav.2024.124010

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