The Haar wavelet discretization technique for solving the elastic bending problems of orthotropic plates and shells is proposed. Free transverse vibrations of orthotropic rectangular plates with a variable thickness in one direction are considered as a model problem. In the case of constant plate thickness, the numerical results are validated by comparing them with an exact solution. The results obtained are found to be in good agreement with those available in the literature.
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Russian translation published in Mekhanika Kompozitnykh Materialov, Vol. 45, No. 6, pp. 907–922, November–December, 2009.
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Majak, J., Pohlak, M. & Eerme, M. Application of the Haar wavelet-based discretization technique to problems of orthotropic plates and shells. Mech Compos Mater 45, 631–642 (2009). https://doi.org/10.1007/s11029-010-9119-0
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DOI: https://doi.org/10.1007/s11029-010-9119-0