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Enhanced dissipation in a double-beam system with a bistable constraint

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Abstract

A practical double-beam system coupled with prestressed linear and buckled beams with fixed–fixed ends is innovatively designed to enhance damping and suppress the dynamic response. Considering nonlinear geometric relations, a linear-bistable coupled model is derived for this system. When the force amplitude of harmonic excitation exceeds the critical value, the double-beam system undergoes chaotic motion, and the vibration energy is distributed over a wide frequency band, which results in a reduction in the vibration amplitude that is much smaller than that of a linear double-beam system with the same damping coefficient and initial stiffness. After the force amplitude of harmonic excitation reaches the upper critical value, the bistable layer enters the state of combined inter- and in-well oscillation, which strongly enhances the dissipation of the viscoelastic core layer and significantly suppresses the vibration of the linear beam. By developing the Melnikov method and the harmonic balance method, the chaotic and non-chaotic edges of the steady-state vibration of this double-beam system can be analytically detected and numerically verified. Numerical studies reveal the influence of the parameters of the viscoelastic layer and axial force on vibration suppression. This investigation provides an adjustable methodology to suppress dynamic responses in beam-type structures.

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Acknowledgments

This work was supported by the NSFC (51979258).

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Authors and Affiliations

  1. Shandong Province Key Laboratory for Ocean Engineering, School of Engineering, Ocean University of China, Qingdao, 266100, China

    Hui Fang & Ze Liu

  2. Qingdao University of Science and Technology, Qingdao, 266100, China

    Liya Duan

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  1. Hui Fang
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  2. Ze Liu
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  3. Liya Duan
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Correspondence to Hui Fang.

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Fang, H., Liu, Z. & Duan, L. Enhanced dissipation in a double-beam system with a bistable constraint. Arch Appl Mech 92, 885–901 (2022). https://doi.org/10.1007/s00419-021-02079-w

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