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All-Russian Conference "New mathematical models of continuum mechanics: Construction and investigation" devoted to 90-years anniversary of academician L. V. Ovsyannikov

Novosibirsk, April 23-28, 2009

Abstracts


Mathematical modeling in problems of dynamics and stability of deformable elements of constructions at aerohydrodynamical and thermal influences

Ankilov A.V.

Ulyanovsk State Technical University (Ulyanovsk)

In the work the dynamics and stability of deformable (viscoelastic, elastic) elements (plates, shank, casing) of thin-shelled constructions in interaction with flow of fluid or gas is studied. The definition of body's stability corresponds to Lyapunov's concept of dynamical system's stability. The mechanical behaviour of viscoelastic material is described by the model, according to which the connection between stress and strain is defined linear or nonlinear equation of Volterra- Foyght. The behaviour of elastic material is described by the nonlinear model, got on base of variational principles, taking into account the longitudinal and lateral components of strain of the elements. In this models are taken into account both thermal influence on elements, and effects of the time delay of the different other external influences.

Analytical method of research of the stability in problems aerohydroelasticity, being based on the construction of functionals, is developed. The research of dynamics of elements is carried out with the help of developped numerical and numerically-analytical methods.

Stability of elements under different modes of their fastening is researched. The number of elements and places of their location on constructions is free. The momentums of the gas are expected subsonic, transsonic, supersonic. The problems of interaction of constructions with shock waves are considered. Stability of moving the elements in problems about dynamics of flying vehicle, of the pipeline systems, sensors of measurement of parameters of gas-fluid medium is researched.

Note. Abstracts are published in author's edition


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