Abstract
Nonlinear vibrations of viscoelastic orthotropic and isotropic shells are mathematically modeled using a geometrically nonlinear Timoshenko theory. Nonlinear problems are solved by using the Bubnov-Galerkin method and a numerical method based on quadrature formulas. Results obtained from different theories are compared and analyzed. For each problem, the Bubnov-Galerkin method is tested for convergence. The influence of the viscoelasticity and inhomogeneity of materials on the vibrations of plates is demonstrated
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Translated from Prikladnaya Mekhanika, Vol. 42, No. 5, pp. 120–131, May 2006.
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Éshmatov, B.K. Nonlinear vibration analysis of viscoelastic plates based on a refined Timoshenko theory. Int Appl Mech 42, 596–605 (2006). https://doi.org/10.1007/s10778-006-0127-7
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DOI: https://doi.org/10.1007/s10778-006-0127-7