Starovoĭtov, E. I.; Leonenko, D. V.; Yarovaya, A. V. Vibrations of circular three-layer plates under resonance loadings. (Russian, English) Zbl 1082.74020 Prikl. Mekh., Kiev 39, No. 12, 114-120 (2003); translation in Int. Appl. Mech. 39, No. 12, 1458-1463 (2003). The paper investigates axisymmetric resonant vibrations of an elastic three-layer plate under the action of local periodic surface loadings of rectangular and parabolic form. The kinematical description is given for a plate with asymmetry relative to thickness. Analytic solutions for the initial-boundary value problems are obtained and analysed. Reviewer: V. A. Zarutskij (Kyïv) Cited in 2 Documents MSC: 74H45 Vibrations in dynamical problems in solid mechanics 74K20 Plates 74E30 Composite and mixture properties 74H10 Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of dynamical problems in solid mechanics Keywords:analytical solutions; initial-boundary value problem; thickness asymmetry PDFBibTeX XMLCite \textit{E. I. Starovoĭtov} et al., Prikl. Mekh., Kiev 39, No. 12, 114--120 (2003; Zbl 1082.74020); translation in Int. Appl. Mech. 39, No. 12, 1458--1463 (2003) Full Text: DOI