75504 Magazine of Civil Engineering Magazine of Civil Engineering 2712-8172 5 10.18720/MCE.16.3 Mathematic models of nonlinear dynamics problems of viscoelastic orthotropic plates and shells of variable thickness Математические модели задач нелинейной динамики вязкоупругих ортотропных пластин и оболочек переменной толщины 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 20 10 2010 6 16 38 47

The authors develop mathematic models and effective computing algorithms for solving of nonlinear dynamic problems about oscillations and stability of orthotropic viscoelastic systems with variable rigidity. Geometric nonlinearity and possible development of creep strain (viscous elasticity) are taken into account jointly.

 viscoelastic shells and plates nonlinear dynamics variable rigidity