Buckling and vibration of shear deformable prismatic plate structures by a complex finite strip method
type: Item
instance of: scholarly article
title: Buckling and vibration of shear deformable prismatic plate structures by a complex finite strip method
zbMATH Open document ID: 0638.73016
DOI: 10.1016/0020-7403(88)90063-X
author: D. J. Dawe
author: T. J. Craig
published in: International Journal of Mechanical Sciences
publication date: 1988-01-01T00:00:00Z
review text: A finite strip method is presented for the determination of buckling stresses and natural frequencies of vibration of prismatic plate structures assembled from plate flats, which generally are laminates of fibre-reinforced composite material. The finite strip method is of the single-term type, corresponding to the assumption of sinusoidal longitudinal spatial variation of displacement and force quantities. Anisotropic material behaviour and applied in-plane shear stress are accommodated by expressing the strip displacement field in terms of complex quantities. The out-of-plane properties of plate flats are based upon the use of first-order shear deformation plate theory. A family of finite strip models is described and a sub-structuring procedure is utilised to reduce the size of the eigenvalue problem. Presented numerical results reveal the high accuracy and good convergence characteristics of the method, as well as indicating the influence of through-thickness shear effects in a range of circumstances.
Mathematics Subject Classification ID: 74G60
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74E10
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 65F15
zbMATH DE Number: 4041383
zbMATH Keywords: finite strip method
zbMATH Keywords: buckling stresses
zbMATH Keywords: natural frequencies
zbMATH Keywords: prismatic plate structures
zbMATH Keywords: laminates of fibre-reinforced composite material
zbMATH Keywords: sinusoidal longitudinal spatial variation of displacement and force quantities
zbMATH Keywords: sub-structuring procedure
zbMATH Keywords: eigenvalue problem
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4041383