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Evaluation of Wave Velocity in Orthotropic Media Based on Intrinsic Transfer Matrix

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Abstract

Background

The characterization of the materials from the viewpoint of the elastic properties can be achieved by different experimental methods. The non-destructive methods, with a low consumption of samples, and the possibility of re-using them, are the most advantageous.

Objective

The objective of this work is to develop a hybrid experimental method, based on modal analysis combined with a numerical method able to study the behaviour of the eigenvalues to find the elastic constants of solid materials.

Method

The method of intrinsic transfer matrix suggests the possibility to study by modal analysis the simple embedded systems, containing gauge materials and the sample of interest. From the mathematical point of view, the output data obtained by the experimental method are processed by applying the intrinsic transfer matrix of a ternary system made of two standard materials and the investigated material, respectively the resonant wood samples cut in radial and longitudinal direction.

Results

Two types of resonance wood species were investigated: spruce and maple wood. The sounds velocities in radial and longitudinal direction were determined. The results are in good agreement with those given by reference literature.

Conclusions

This method is an alternative to traditional methods for determining the sound propagation velocity in solid anisotropic materials, being advantageous because it retains much better the longitudinal plane wave due to the applied ternary system and because it diminished the effect of dispersion.

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Acknowledgements

This research was supported by a grant of the Ministry of Research, Innovation and Digitization, CNCS/CCCDI – UEFISCDI, project number. 568PED/2020 MINOVIS—Innovative models of violins acoustically and aesthetically comparable with heritage violins, within PNCDI III.

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Authors and Affiliations

  1. Department of Electrical Engineering and Applied Physics, Transilvania University of Brasov, Eroilor 29, 500036, Brasov, Romania

    N. Crețu

  2. Department of Mechanical Engineering, Transilvania University of Brasov, B-dul Eroilor 29, 500360, Brasov, Romania

    I. C. Roșca, M. D. Stanciu, V. G. Gliga & C. Cerbu

  3. S.C. Gliga Musical Instruments S.A, str. Pandurilor 120, cod 545430, ReghinMureș, Romania

    V. G. Gliga

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  1. N. Crețu
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Correspondence to M. D. Stanciu.

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Crețu, N., Roșca, I.C., Stanciu, M.D. et al. Evaluation of Wave Velocity in Orthotropic Media Based on Intrinsic Transfer Matrix. Exp Mech 62, 1595–1602 (2022). https://doi.org/10.1007/s11340-022-00889-9

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