ISSN:
0029-5981
Keywords:
Engineering
;
Engineering General
Source:
Wiley InterScience Backfile Collection 1832-2000
Topics:
Mathematics
,
Technology
Notes:
The optimization problem of elastic pin-jointed structures for overall stability conditions is presented in this paper. Two optimality criteria, the minimum of volume and the maximum of critical load, are taken into account. The optimization problem is presented as a non-linear multicriteria mathematical programming problem.Dimensional analysis enables natural division of the problem into two stages: optimization in space of non-dimensional variables with following specification of final dimensions.The sensitivity analysis and incremental solution scheme are used for the discription and solution of the optimization problem. Two sets of examples illustrate given models and a compromise solution. In the first sample of problems the optimization of the cross-sectional areas of the structure is considered while shape optimization is given in the second sample. Mathematical models of both examples are illustrated by numerical results. The shape optimization problem is characterized by a multiplicity of buckling modes and leads to complicated non-convex mathematical programming problems. Given examples are representative of complexities associated with practical problems.
Additional Material:
8 Ill.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1002/nme.1620340314
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