75504 Magazine of Civil Engineering Magazine of Civil Engineering 2712-8172 7 10.18720/MCE.18.8 Nonlinear dynamics problems: mathematical models of viscoelastic isotropic plates and shells with smoothly variating thickness (asymmetrical cases) Математические модели задач нелинейной динамики вязкоупругих изотропных пластин и оболочек гладко-переменной толщины (асимметричные случаи) 0000-0001-8114-1187 6506522453 Abdikarimov Rustamkhan rabdikarimov@mail.ru Zhgutov Vladimir abc.kitezh@gmail.com Tashkent Financial Institute "Kitezh" LLC Architecture and Construction Company 25 12 2010 8 18 47 55

More complete mathematical models for the dynamic problems of the isotropic plates and shells with smoothly variatind thickness (asymmetrical cases), which help taking into account both geometrical nonlinearity and possible creeping (viscoelacticity) of the material, are given. Respective integro-differential equation systems in patrial derivatives are produced.

 plates and shells smoothly variating thickness geometrical nonlinearity creeping (viscoelasticity) motion equation