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Suppression of Bending Waves in a Periodic Beam with Timoshenko Beam Theory

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Abstract

Active control of bending waves in a periodic beam by the Timoshenko beam theory is concerned. A discussion about the possible wave solutions for periodic beams and their control by forces is presented. Wave propagation in a periodic beam is studied. The transfer matrix between two consecutive unit cells is obtained based on the continuity conditions. Wave amplitudes are derived by employing the Bloch-Floquet theorem and the transfer matrix. The influences of the propagating constant on the wave amplitudes are considered. It is shown that vibrations are still needed to be suppressed in the pass-band regions. Wave-suppression strategy described in this paper is employed to eliminate the propagating disturbance of an infinite periodic beam. A minimum wave-suppression strategy is compared with the classical wave-suppression strategy.

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Authors and Affiliations

  1. College of Science, Harbin Engineering University, Harbin, 150001, China

    Tao Chen & Ligang Wang

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  1. Tao Chen
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  2. Ligang Wang
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Correspondence to Tao Chen.

Additional information

Project supported by the National Natural Science Foundation of China (No. 11102047), Special Funds of Central Basic Scientific Research Operating Expenses and the Fundamental Research Foundation of Harbin Engineering University (No. 002110260746).

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Chen, T., Wang, L. Suppression of Bending Waves in a Periodic Beam with Timoshenko Beam Theory. Acta Mech. Solida Sin. 26, 177–188 (2013). https://doi.org/10.1016/S0894-9166(13)60017-8

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  • DOI: https://doi.org/10.1016/S0894-9166(13)60017-8

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