期刊
INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES
卷 188, 期 -, 页码 -出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijmecsci.2020.105948
关键词
Non-uniform Euler-Bernoulli beam; Power series expansion method; Frequency shunting; Rectangular lens for energy focusing
资金
- Postdoctoral Fellowships for Research in Japan [FY2018 P18043, 18F18043]
- Japan Society for the Promotion of Science (JSPS)
- Natural Science Foundation of China [11972276]
- Opening Project from the State Key Laboratory for Strength and Vibration of Mechanical Structures [SV2018-KF-36]
- Grants-in-Aid for Scientific Research [18F18043] Funding Source: KAKEN
The flexural wave in a periodic non-uniform Euler-Bernoulli beam with arbitrarily contoured profiles is studied by utilizing the power series expansion method. The convergence criterion that makes the power series expansion method applicable is also illustrated. The validation is carried out by comparing the theoretical results with that from the finite element analysis when the beam thickness varies in different forms. For a quadratic thickness variation, the first band gap evolution versus the structural parameter is investigated, based on which a flexuralwave-based low-pass filter for frequency shunting and a rectangular lens for energy focusing are designed. It is revealed in the frequency domain analysis that the flexural wave with a lower frequency can propagate further when it travels into the wave filter. The lens designed exhibits a good focusing phenomenon with the focusing size smaller than one wavelength, and has a good performance at a certain finite frequency range. The theoretical method and design scheme can provide effective guidance for the flexural wave control.
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