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Stacking-sequence optimization for buckling of laminated plates by integer programmingInteger-programming formulations for the design of symmetric and balanced laminated plates under biaxial compression are presented. Both maximization of buckling load for a given total thickness and the minimization of total thickness subject to a buckling constraint are formulated. The design variables that define the stacking sequence of the laminate are zero-one integers. It is shown that the formulation results in a linear optimization problem that can be solved on readily available software. This is in contrast to the continuous case, where the design variables are the thicknesses of layers with specified ply orientations, and the optimization problem is nonlinear. Constraints on the stacking sequence such as a limit on the number of contiguous plies of the same orientation and limits on in-plane stiffnesses are easily accommodated. Examples are presented for graphite-epoxy plates under uniaxial and biaxial compression using a commercial software package based on the branch-and-bound algorithm.
Document ID
19910012267
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Haftka, Raphael T.
(Virginia Polytechnic Inst. and State Univ. Blacksburg., United States)
Walsh, Joanne L.
(NASA Langley Research Center Hampton, VA, United States)
Date Acquired
September 6, 2013
Publication Date
January 1, 1991
Subject Category
Structural Mechanics
Report/Patent Number
NASA-TM-104033
AIAA PAPER 91-0970
NAS 1.15:104033
Meeting Information
Meeting: Structures, Structural Dynamics and Materials Conference
Location: Baltimore, MD
Country: United States
Start Date: April 8, 1991
End Date: April 10, 1991
Accession Number
91N21580
Funding Number(s)
CONTRACT_GRANT: NAG1-168
PROJECT: RTOP 506-43-41-01
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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