Abstract
Band gaps appear in the frequency spectra of an elastic beam having periodic spring-mass attachment, acronymed as metabeam. Two widely used beam theories, i.e. Euler–Bernoulli and Timoshenko, are non-dimensionalized in order to obtain the dimensionless periodicity parameters. In this paper, the location and width of band-gaps are investigated due to the variation of these periodicity parameters of a metabeam. Implementing transfer matrix method in conjunction with Bloch–Floquet theorem, a unified methodology has been adopted to estimate the propagation and attenuation bands in a metabeam. This paper provides a guideline towards the designing of wide-band metabeam by tunning the non-dimensional parameters.
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Acknowledgements
Authors would like to acknowledge the research grant of Inspire Faculty Award of Department of Science and Technology, Ministry of Science and Technology, Government of India, Grant DST/INSPIRE/04/2018/000052 for supporting the research.
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Banerjee, A. Non-dimensional analysis of the elastic beam having periodic linear spring mass resonators. Meccanica 55, 1181–1191 (2020). https://doi.org/10.1007/s11012-020-01151-z
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DOI: https://doi.org/10.1007/s11012-020-01151-z