Effective reformulations of the truss topology design problem
نویسندگان
چکیده
منابع مشابه
Robust Truss Topology Design via Semidefinite Programming
We present and motivate a new model of the truss topology design problem, where the rigidity of the resulting truss with respect both to given loading scenarios and small “occasional” loads is optimized. It is shown that the resulting optimization problem is a semidefinite program. We derive and analyze several equivalent reformulations of the problem and present illustrative numerical examples.
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In the design of a mechanical structure, we’re interested in finding a general layout of the structure’s supporting frame that best supports some anticipated design loads. Often, the design of such supporting frames are addressed in ad-hoc ways, such as by complicated domain-specific heuristics [TTG05, DG01]. Our project targets the problem of designing a truss–a collection of bars rigidly atta...
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We consider semidefinite programming (SDP) formulations of certain truss topology optimization problems, where a lower bound is imposed on the fundamental frequency of vibration of the truss structure. These SDP formulations were introduced in: [M. Ohsaki, K. Fujisawa, N. Katoh and Y. Kanno, Semi-definite programming for topology optimization of trusses under multiple eigenvalue constraints, Co...
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ژورنال
عنوان ژورنال: Optimization and Engineering
سال: 2006
ISSN: 1389-4420,1573-2924
DOI: 10.1007/s11081-006-6839-z