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ASYMPTOTIC-BEHAVIOR OF THE EIGENVALUE PROBLEM IN A THIN LINEARLY ELASTIC CLAMPED ROD WHEN ITS THICKNESS TENDS TO ZERO
Journal article

ASYMPTOTIC-BEHAVIOR OF THE EIGENVALUE PROBLEM IN A THIN LINEARLY ELASTIC CLAMPED ROD WHEN ITS THICKNESS TENDS TO ZERO

N Kerdid
Comptes rendus de l'Académie des sciences. Série I. Mathématique, Vol.316(7), pp.755-758
08/04/1993

Abstract

Mathematics Physical Sciences Science & Technology
We show that the eigenvalues and eigenfunctions of three-dimensional, linear, homogeneous, isotropic elasticity in a champed rod converge, in a specific sense, to the eigenvalues and eigenfunctions of a known one-dimensional linear rod model, as the thickness of the rod goes to zero.

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