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.
P. 133-139
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