Exploring effective TET through a vibro-impact nonlinear energy sink over broad parameter regimes
Exploring effective TET through a vibro-impact nonlinear energy sink over broad parameter regimes
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DOI：
10.1016/j.jsv.2023.118131
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发表时间：
2023-10
影响因子：
4.7
通讯作者：
Rahul Kumar;Rachel Kuske;D. Yurchenko
中科院分区：
文献类型：
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作者：
Rahul Kumar;Rachel Kuske;D. Yurchenko
近年来，冲击振动非线性能量汇(VINES)作为一种很有前途的被动减振机制在工程系统中得到了广泛的应用。VINES系统由一个在外部激励的线性振荡器(LO)的腔内运动的球组成。球撞击腔的两端，将能量从LO传递到球，并缓解LO的过度振荡。早期对VINES的研究分析了球的质量相对于LO较小、LO共振频率附近的强迫幅度较低的情况。在球质量增加时观察到的靶向能量转移(TET)的改进，促使对质量比更大的葡萄树进行调查，使用最近开发的基于地图的半解析方法，提供了准确的解决方案，而不受以前分析的限制。互补的分析和数值方法处理较大质量比和较高幅度的外部谐波激励，以迫使频率远离LO的自然频率，基于能量转移的标准测量来确定有效和无效性能的参数区域。该分析确定了期望行为的多个区域，每个强迫周期具有两个交替的影响，并提供了相关的稳定性条件。数值结果表明，在能量传递最小的区域内的颤振行为，产生了类似于共振的性能。这种现象可以直接与藤条设计的被动性质有关，其中藤条系统的固有频率随着球的质量的增加而减小，从而系统的固有频率也随之增加。然后，LO的峰值响应偏离其谐振频率，从而实现了良好的能量传递。
In recent times, the vibro-impact nonlinear energy sink (VINES) has emerged as a promising passive mechanism for vibration mitigation in engineering systems. The VINES system consists of a ball traveling within a cavity of an externally excited linear oscillator (LO). The ball impacts either end of the cavity, transferring energy from the LO to the ball and mitigating excess oscillations of the LO. Earlier studies of VINES analyzed scenarios with the mass of the ball to be small relative to the LO, with low forcing amplitude near the resonant frequency of the LO. Improvements in targeted energy transfer (TET), observed for an increased mass of the ball, motivate an investigation of VINES for larger mass ratios, using a recently developed semi-analytical map-based approach that provides the exact solution without the limitations of previous analyses. Complementary analytical and numerical approaches treat larger mass ratios and higher amplitudes of the external harmonic excitation for forcing frequencies away from the natural frequency of the LO, identifying parameter regimes for efficient and inefficient performance based on standard measures of energy transfer. The analysis identifies multiple regions for the desired behavior with two alternating impacts per forcing period and provides relevant stability conditions. Numerical results indicate chattering behavior in regimes where energy transfer is minimal, yielding performance that appears similar to resonance. This phenomenon can be directly related to the passive nature of the VINES design, where the natural frequency of the VINES system decreases as the mass of the ball, and thus that of the system, increases. Then the peak response of the LO is shifted away from its resonant frequency, allowing excellent energy transfer to be realized there.