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New displacement-based methods for optimal truss topology designTwo alternate methods for maximum stiffness truss topology design are presented. The ground structure approach is used, and the problem is formulated in terms of displacements and bar areas. This large, nonconvex optimization problem can be solved by a simultaneous analysis and design approach. Alternatively, an equivalent, unconstrained, and convex problem in the displacements only can be formulated, and this problem can be solved by a nonsmooth, steepest descent algorithm. In both methods, the explicit solving of the equilibrium equations and the assembly of the global stiffness matrix are circumvented. A large number of examples have been studied, showing the attractive features of topology design as well as exposing interesting features of optimal topologies.
Document ID
19910047276
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Bendsoe, Martin P.
(Technical University of Denmark, Lyngby, United States)
Ben-Tal, Aharon
(Technion - Israel Institute of Technology Haifa, United States)
Haftka, Raphael T.
(Virginia Polytechnic Institute and State University Blacksburg, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1991
Subject Category
Structural Mechanics
Report/Patent Number
AIAA PAPER 91-1215
Meeting Information
Meeting: AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference
Location: Baltimore, MD
Country: United States
Start Date: April 8, 1991
End Date: April 10, 1991
Accession Number
91A31899
Funding Number(s)
CONTRACT_GRANT: NAG1-168
Distribution Limits
Public
Copyright
Other

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