Research Article
Jun 1960

Vibrations and Stability of Plates Under Initial Stress

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Publication: Journal of the Engineering Mechanics Division
Volume 86, Issue 3

Abstract

Equilibrium of plates, under initial stresses uniformly distributed across plate thickness; equations derived by B.de SAINT-VENANT by considering isolated plate element; paper presents generalization of Saint-Venant theory and establishes more inclusive theory of plates under initial stress, analogous to R.D.MINDLIN plate theory, by retaining in equations of motion effects of transverse shear deformation and rotatory inertia.

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Journal of the Engineering Mechanics Division
Volume 86Issue 3June 1960
Pages: 65 - 94

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Published in print: Jun 1960
Published online: Feb 3, 2021

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George Herrmann, M.ASCE
Assoc. Prof. of Civ. Engrg., Inst. of Flight Structures, Columbia Univ.
Anthony E. Armenakas, M.ASCE
Assoc. Prof. of Civ. Engrg., The Cooper Union for the Advancement of Science and Art, New York

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