Article A modified spectral collocation method for vibration of sandwich beams based on a higher-order layer-wise beam theory

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

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Citation
Ming Ji, Yu Sekiguchi, Masanobu Naito, Chiaki Sato. A modified spectral collocation method for vibration of sandwich beams based on a higher-order layer-wise beam theory. Thin-Walled Structures. 2025, 209 (), 112949. https://doi.org/10.1016/j.tws.2025.112949

Description:

(abstract)

This paper studied vibration characteristics of sandwich beams with viscoelastic cores and different boundary conditions. A higher-order layer-wise beam theory was presented to describe the displacement field of the sandwich beams with viscoelastic cores. The top and bottom layers' transverse shear stresses were thought to be quadratic. And the viscoelastic core's transverse shear stress was constant. It was believed that the transverse shear stress and displacement at the layer interface are continuous. The equations of motion and boundary conditions were established using Hamilton's principle. A modified spectral collocation method was utilized to solve the equations of motion with various boundary conditions by combining the integrated-based spectral collocation method and conventional spectral collocation method. The modified method can implement multiple boundary conditions at one boundary point. An iterative procedure was utilized to solve complex eigenvalue problem with frequency-dependent material properties. The accuracy of the proposed method was verified by contrasting the theoretical data with experimental and published data. Tensile test was conducted to obtain the Poisson’s ratio of adhesive using Digital Image Correlation (DIC). The storage and loss modulus of adhesive were measured using Oberst beam. Impact tests were conducted to estimate resonant frequencies and loss factors of sandwich beams from Impulse response function (IRF). The measured results agreed well with the data calculated using the proposed method.

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Keyword: Modified spectral collocation method , Viscoelastic core , Higher-order layer-wise beam theory

Date published: 2025-01-13

Publisher: Elsevier BV

Journal:

  • Thin-Walled Structures (ISSN: 02638231) vol. 209 112949

Funding:

  • Japan Science and Technology Agency
  • Tokyo Institute of Technology
  • Core Research for Evolutional Science and Technology JPMJCR19J3

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

MDR DOI:

First published URL: https://doi.org/10.1016/j.tws.2025.112949

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Updated at: 2025-04-14 16:31:07 +0900

Published on MDR: 2025-04-14 14:56:20 +0900

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