Nonlinear and chaotic oscillations of composite plates and shells under periodic heat load
type: Item
instance of: scholarly article
title: Nonlinear and chaotic oscillations of composite plates and shells under periodic heat load
zbMATH Open document ID: 0851.73027
DOI: 10.1016/0045-7825(95)00834-N
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1996-11-28T00:00:00Z
review text: We present a computer simulation of nonlinear dynamic oscillations of laminated composite plates and shells under the action of a periodic heat load. We show that the inclusion of the geometrical stiffness accounting for certain membrane forces caused by a thermal gradient in conjunction with damping forces can trigger thermal oscillations with an explosive growth of amplitudes that can eventually lead to erratic, irregular and even catastrophic response. We address both plates and shells in which damping forces are accounted for. The nonlinear thermoelastic dynamic problem is solved using an implicit cubic Hermitian scheme which can easily accommodate a change of material properties with temperature. All computations are conducted with the multilayer flat triangular shell element LACOT which comprises six natural rigid-body and twelve straining modes.
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 881102
zbMATH Keywords: thermal flutter phenomena
zbMATH Keywords: geometrical stiffness
zbMATH Keywords: damping forces
zbMATH Keywords: implicit cubic Hermitian scheme
zbMATH Keywords: multilayer flat triangular shell element LACOT
author: John Argyris
author: Lazarus Teneketzis Tenek
MaRDI profile type: Publication
cites work: Q4000184
cites work: An efficient and locking-free flat anisotropic plate and shell triangular element
cites work: A practicable and locking-free laminated shallow shell triangular element of varying and adaptable curvature
cites work: Linear and geometrically nonlinear bending of isotropic and multilayered composite plates by the natural mode method
cites work: Q4299632
cites work: Buckling of multilayered composite plates by natural shear deformation matrix theory
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description: scientific article; zbMATH DE number 881102