We solve the problem of coupled vibrations for an adhesive lap joint of two rods. The connecting layer is modeled by a multiparameter elastic foundation and the outer layers are regarded as Timoshenko beams. This approach describes, with high accuracy, the stressed state of the connecting layer and enables one to satisfy the boundary conditions on its free boundary. We solve a model problem and compare our results with the data of numerical analysis carried out by the classical method.
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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 57, No. 2, pp. 125–132, April–June, 2014.
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Kurennov, S.S. Longitudinal-Flexural Vibrations of a Three-Layer Rod. an Improved Model. J Math Sci 215, 159–169 (2016). https://doi.org/10.1007/s10958-016-2829-7
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DOI: https://doi.org/10.1007/s10958-016-2829-7