Buckling analysis of skew plate assemblies: classical plate theory results incorporating Lagrangian multipliers

York, C.B. and Williams, F.W. (1995) Buckling analysis of skew plate assemblies: classical plate theory results incorporating Lagrangian multipliers. Computers and Structures, 56(4), pp. 625-635. (doi: 10.1016/0045-7949(94)00568-N)

Abstract

A procedure is presented for the buckling analysis of prismatic skew plate assemblies subject to invariant in-plane stresses. Based on the exact solution of the plate differential equations, the method of Lagrangian multipliers is used to enforce the transverse skew boundaries by a sufficient number of point constraints. Analysis assumes that the plate is infinitely long and that supports repeat at bay length intervals, typifying the continuity found in aircraft wing construction. Following a brief derivation of the formulation adopted, results are presented and comparisons are made with other analyses for an unstiffened isotropic skew plate, subject to pure compression loading with both simply supported and clamped boundary conditions. Results for four benchmark stiffened panels, i.e. plate assemblies, incorporating composite material and combined loading are also given for a range of skew angles.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: York, Dr Christopher
• Authors: York, C.B., and Williams, F.W.
• Subjects: T Technology > T Technology (General)
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: Computers and Structures
• Publisher: Elsevier - Science Direct
• ISSN: 0045-7949
• ISSN (Online): 1879-2243