This article is cited in 4 papers

Linearized equations of nonlinear elastic deformation of thin plates

A. E. Alekseev

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

Abstract: A linearized system of equations governing elastic deformation of a thin plate with arbitrary boundary conditions at its faces in an arbitrary curvilinear coordinate system is proposed. This system of equations is the first approximation of a one-parameter sequence of equations of two-dimensional problems obtained from the initial three-dimensional problem by approximating unknown functions by truncated series in Legendre polynomials. The stability problem of an infinite plate compressed uniaxially is solved. The results obtained are compared with the existing solutions.

UDC: 539.3; 534.1

Received: 17.08.2001
Accepted: 29.10.2001

 English version: Journal of Applied Mechanics and Technical Physics, 2002, 43:1, 133–139

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