Meta-sandwiches will revolutionize Aerospace Structures
Dr. Bishakh Bhattacharya
HAG Professor at Indian Institute of Technology, Kanpur; former Chairs: HAL and Dr. and Mrs. Mehta Chair
Flexural wave propagation through a sandwich beam, composed of two parallel Euler–Bernoulli beams connected with the translational and rotational springs at a periodic interval (acronym meta-sandwich), is analytically investigated in this paper. Band structure of the meta-sandwich has been obtained by implementing Bloch’s theorem in conjunction with the transfer matrix. The two parallel beams are modeled separately, which demonstrated the key novelty of the paper. A new band categorization criteria of the wave phenomena in meta-sandwich is proposed. Furthermore, an exploration of the parametric space has also been conducted to observe the variation of the band structure. The underlying physics of the wave propagation or attenuation in the different bands are conceptualized from its respective mode shapes and energy plots. The similarity between the mode shapes of the parallel beams has been analyzed by using cross recurrence plots. The analytical framework is envisaged to facilitate the design of meta-sandwich beams for noise and vibration control in aerospace structures and isolate the payloads like satellites from the rocket vibration.
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