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From:
Erik Lund (1), Lennart Kuhlmeier (2) and Jan Stegmann (1)
(1) Institute of Mechanical Engineering, Aalborg University, Pontoppidanstraede 101, DK-9220 Aalborg East, Denmark
(2) Vestas Wind Systems A/S, Smed Sørensens Vej 5, 6950 Ringkøbing, Denmark
“Buckling Optimization of Laminated Hybrid Composite Shell Structures Using Discrete Material Optimization”, 6th World Congress on Structural and Multidisciplinary Optimization Rio de Janeiro, 30 May - 03 June 2005, Brazil
ABSTRACT: The design problem of maximizing the buckling load factor of laminated hybrid composite shell structures is investigated using the so-called Discrete Material Optimization (DMO) approach. The design optimization method is based on ideas from multi-phase topology optimization where the material stiffness is computed as a weighted sum of candidate materials, thus making it possible to solve discrete optimization problems using gradient based techniques and mathematical programming. The potential of the DMO method to solve the combinatorial problem of proper choice of material, stacking sequence and fiber orientation simultaneously is illustrated for two benchmark plate examples, and ongoing work on buckling optimization of a wind turbine blade test section is outlined.
The authors write [with some editing]:
"There are about 8000 four-node elements used for this model. For computational efficiency the element used for the design optimization in this work is a four node isoparametric shell element with full integration where the problem of shear locking is avoided by using the method of assumed natural strains for the transverse shear interpolation."
"The linear buckling analysis yields a lowest buckling mode as shown here. The buckling load factor is in good agreement with the collapse load found with use of a geometrically nonlinear analysis."
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