Bilinear Systems With Initial Gaps Involving Inelastic Collision: Forced Response Experiments and Simulations

Bilinear Systems With Initial Gaps Involving Inelastic Collision: Forced Response Experiments and Simulations
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具有涉及非弹性碰撞的初始间隙的双线性系统:受迫响应实验和模拟

DOI:
10.1115/1.4051493
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发表时间:
2022
期刊:
Journal of Vibration and Acoustics
影响因子:
--
通讯作者:
D’Souza, Kiran
D’Souza, Kiran
中科院分区:
--
文献类型:
--
作者:
Noguchi, Kohei;Saito, Akira;Tien, Meng-Hsuan;D’Souza, Kiran

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在本文中,讨论了涉及非弹性碰撞的具有初始间隙的二自由度(DOF)双线性振荡器的受迫响应。特别是,重点关注了广义双线性幅度近似(BAA)方法的实验验证,该方法可用于精确估计具有初始间隙的双线性系统的受迫响应。对该系统进行了实验和数值研究。已经开发了能够代表 2DOF 振荡器动力学的实验装置,并且在扫频正弦基础激励下针对不同的初始间隙尺寸进行了受迫响应测试。通过传统时间积分和 BAA 计算基础激励下系统的稳态响应。结果表明,实验结果和数值预测结果非常吻合,尤其是在共振时。然而,观察到两种数值方法获得的响应存在细微差异。结果发现,BAA 预测的自由度彼此接触的持续时间比时间积分预测的要长。还对实验和数值结果进行了光谱分析。据观察,在质量之间发生间歇接触的频率范围内,激发频率的超谐波分量出现在光谱中。此外,随着初始间隙尺寸的增加,观察到超谐波分量的频带减小。
In this paper, the forced response of a two degrees-of-freedom (DOF) bilinear oscillator with initial gaps involving inelastic collision is discussed. In particular, a focus is placed upon the experimental verification of the generalized bilinear amplitude approximation (BAA) method, which can be used for the accurate estimation of forced responses for bilinear systems with initial gaps. Both experimental and numerical investigations on the system have been carried out. An experimental setup that is capable of representing the dynamics of a 2DOF oscillator has been developed, and forced response tests have been conducted under swept-sine base excitation for different initial gap sizes. The steady-state response of the system under base excitation was computed by both traditional time integration and BAA. It is shown that the results of experiments and numerical predictions are in good agreement especially at resonance. However, slight differences in the responses obtained from both numerical methods are observed. It was found that the time duration where the DOFs are in contact with each other predicted by BAA is longer than that predicted by time integration. Spectral analyses have also been conducted on both experimental and numerical results. It was observed that in a frequency range where intermittent contact between the masses occurs, super-harmonic components of the excitation frequency are present in the spectra. Moreover, as the initial gap size increases, the frequency band where the super-harmonic components are observed decreases.
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