Article Spectral collocation method for free vibration of sandwich plates containing a viscoelastic core

Ming Ji ; Chao Kang ; Yu Sekiguchi ; Masanobu Naito SAMURAI ORCID (National Institute for Materials Science) ; Chiaki Sato

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Citation
Ming Ji, Chao Kang, Yu Sekiguchi, Masanobu Naito, Chiaki Sato. Spectral collocation method for free vibration of sandwich plates containing a viscoelastic core. Composite Structures. 2024, 337 (), 118024. https://doi.org/10.1016/j.compstruct.2024.118024
SAMURAI

Description:

(abstract)

Viscoelastic constrained layer damping is a simple and efficient method for reducing noise, vibration, and fatigue in metal structures. In this work, a spectral collocation method utilizing a layer-wise plate theory was established to inspect the vibration characteristics of a sandwich plate with a viscoelastic core. The displacements of each layer satisfied the Mindlin plate theory. The core's transverse shear stress remained constant. The three layers’ transverse displacements were assumed to be identical. The displacement fields were reduced to nine variables by utilizing the interfaces’ continuity of the displacements. The equations of motion were obtained by utilizing Hamilton’s principle. The viscoelastic core’s material properties were considered as frequency-dependent. To address the complex eigenvalue problem, an iterative algorithm was used. The theoretical results were compared with published13theoretical and experimental data for fully clamped rectangular sandwich plates to validate the proposed method. The modified Oberst beam method was applied by fitting the impulse response function to obtain the adhesive’s frequency-dependent storage 16modulus and loss factor. The natural frequencies and corresponding loss factors of three sandwich plates with different adhesives were measured by conducting impact tests. The numerical results from the present the oretical method agreed well with the measured results.

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Keyword: Sandwich plate , Viscoelastic core , Spectral collocation method, Hamilton’s principle, Modified Oberst beam method, Impulse response function (IRF)

Date published: 2024-03-12

Publisher: Elsevier BV

Journal:

  • Composite Structures (ISSN: 02638223) vol. 337 118024

Funding:

  • Core Research for Evolutional Science and Technology
  • Japan Science and Technology Agency JPMJCR19J3

Manuscript type: Publisher's version (Version of record)

MDR DOI:

First published URL: https://doi.org/10.1016/j.compstruct.2024.118024

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Updated at: 2024-09-30 16:30:09 +0900

Published on MDR: 2024-09-30 16:30:10 +0900

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