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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.

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
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