This article is cited in 4 papers

Averaging of an orthotropic elastic plate weakened by periodic hinges of finite stiffness

Yu. A. Bogan

Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk 630090

Abstract: A formal asymptote of a solution of the title problem is constructed using the averaging method of N. S. Bakhvalov. The averaged equation is of an elliptic type; for small stiffness of the hinge, it is singularly perturbed, and for zero stiffness of the hinge, it is of a composite type. For the first boundary-value problem, a solution of the original problem is proved to converge to that of the limiting problem. A situation where natural boundary conditions are specified for the composite equation is treated. It is shown that the solution space of the homogeneous problem is infinite-dimensional.

UDC: 539.3

Received: 28.04.1997

 English version: Journal of Applied Mechanics and Technical Physics, 1999, 40:3, 507–512

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