A Comparison Between the Linear and Nonlinear Dynamic Vibration Absorber for a Timoshenko Beam

H. Kouhi, R. Ansari, E. Salahshoor, B. M. Fard
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Abstract

Dynamic vibration absorbers (DVAs) play an important role in the energy dissipation of a vibrating system. Undesirable vibrations of structures can be reduced by using the absorbers. This paper investigates the effect of an attached energy sink on the energy dissipation of a simply supported beam subjected to harmonic excitation. The aim is to design an optimal linear energy sink (LES) and a nonlinear energy sink (NES) and then compare them with each other. Each absorber includes a spring, a mass, and a damper. For each absorber, the optimum mass, stiffness, and damping coefficients are obtained in order to minimize the beam’s maximum amplitude at the resonant frequencies. The optimization problem is minimizing the maximum amplitude of the beam subjected to an arbitrary harmonic force excitation. For consideration of the effects of rotary inertia and shear deformation, the Timoshenko beam theory is used. The mathematical model of beam with DVA is verified by using the ANSYS WORKBENCH software. Finally, by considering the uncertainty on the DVA parameters it was observed that the LES is more robust than the NES.
Timoshenko梁线性与非线性动力减振器的比较
动态吸振器对振动系统的耗能起着重要的作用。使用减振器可以减少结构的不良振动。本文研究了附加能量汇对简支梁在谐波激励下能量耗散的影响。目的是设计一个最优的线性能量汇(LES)和一个最优的非线性能量汇(NES),并对它们进行比较。每个减震器包括一个弹簧、一个质量和一个阻尼器。对于每个吸收器,获得最佳质量,刚度和阻尼系数,以最小化梁在谐振频率处的最大振幅。优化问题是使梁在任意简谐力激励下的最大振幅最小。考虑到旋转惯量和剪切变形的影响,采用Timoshenko梁理论。利用ANSYS WORKBENCH软件对带DVA的梁的数学模型进行了验证。最后,通过考虑DVA参数的不确定性,观察到LES比NES更具鲁棒性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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