LARGE AMPLITUDE FREE VIBRATION OF ORTHOTROPIC SHALLOW SHELLS OF COMPLEX SHAPES WITH VARIABLE THICKNESS

Authors

  • JAN AWREJCEWICZ DEPARTMENT OF AUTOMATION AND BIOMECHANICS
  • LIDIYA KURPA NATIONAL TECHNICAL UNIVERSITY OF KHARKOV
  • TATIYANA SHMATKO NATIONAL TECHNICAL UNIVERSITY OF KHARKOV

Keywords:

NONLINEAR DYNAMICS, SHALLOW SHELL, KIRCHHOFF'S HYPOTHESIS

Abstract

THE PRESENT FORMULATION OF THE ANALYSED PROBLEM IS BASED ON DONELL’S NONLINEAR SHALLOW SHELL THEORY, WHICH ADOPTS KIRCHHOFF’S HYPOTHESIS. TRANSVERSE SHEAR DEFORMATIONS AND ROTARY INERTIA OF A SHELL ARE NEGLECTED. ACCORDING TO THIS THEORY, THE NON-LINEAR STRAIN-DISPLACEMENT RELATIONS AT THE SHELL MIDSURFACE HAS BEEN PROPOSED. THE VALIDITY AND RELIABILITY OF THE PROPOSED APPROACH HAS BEEN ILLUSTRATED AND DISCUSSED, AND THEN A FEW EXAMPLES OF EITHER LINEAR OR NON-LINEAR DYNAMICS OF THE SHELLS WITH VARIABLE THICKNESS AND COMPLEX SHAPES HAVE BEEN PRESENTED AND DISCUSSED.

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Published

2012-11-22

Issue

Vol. 10 No. 1 (2013)

Section

Articles

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