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- Article name
- Modeling of dynamic behavior of flexible reinforced plates of nonlinear elastic materials
- Authors
- YANKOVSKII A. P., , lab4nemir@rambler.ru, yankovsky_ap@rambler.ru, Khristianovich Institute of Theoretical and Applied Mechanics, the Siberian Branch of the Russian Academy of Science, Novosibirsk, Russia
- Keywords
- composite plates / reinforcement structure / Timoshenko theory / dynamic bending / geometric nonlinearity / nonlinear elasticity / "cross" scheme / explosive loads
- Year
- 2017 Issue 1 Pages 12 - 26
- Code EDN
- Code DOI
- Abstract
- In Karman approaching, an initial-boundary value problem is formulated for the dynamic deformation of flexible reinforced plates with account of their weakened resistance to the in-plane shears at nonlinear elastic behavior of the material components of the composition. The weakened resistance to the in-plane shears is taken into account in the framework of the second variant of Timoshenko theory. The "steps in time" method with the involvement of the explicit numerical "cross" scheme is used for the numerical integration of the problem. The dynamic behavior of relatively thin and thick annular plates with a rigid insert under the action of explosion load is studied. The external contour of plates is clamped and the plates are axial-symmetrically reinforced in the direction of logarithmic spirals. The influence of changing the angles of spiral reinforcement on the flexibility of such plates and strain state in the materials of the components of their composition is studied. It is shown that within this class of structures reinforcement, the reinforcement in the radial direction is the best, as it provides the minimal flexibility and minimum of strain state in a binder material. It is shown that because of the physical and geometric nonlinearity of problems, the dynamic response of composite plates can be significantly different at different levels of the explosive loads.
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