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This analysis compares natural frequencies using the Rayleigh method and finite element analysis in cross-laminated timber composites, highlighting their practical applications.
This paper investigates the natural frequencies of square and rectangular cross-laminated timber–concrete composite plates using the approximate analytical Rayleigh method and finite element analysis in Abaqus/Standard. Determining the natural frequency, as dynamic characteristic, is important for verifying the serviceability limit state regarding the vibration criteria of such composite plates. The Rayleigh method, as an approximate method, allows for quick result acquisition, while modeling in Abaqus provides more detailed and accurate information about the plates dynamic characteristics. By comparing the results of both approaches, this paper examines the advantages and disadvantages of each method, offering guidelines for practical engineering applications. The conclusion of this study is that the Rayleigh method provides results for plates of characteristic dimensions that are in good agreement with those obtained using the Abaqus/Standard software package, which was used as a benchmark.
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Janković et al. (2025) studied this question.
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