Application of the interactive simplex method to computer aided design : a feasibility study

By: Call Number: AIT Thesis no. CA-83-14 Contributor(s): Material type: TextSeries: Asian Institute of Technology. Thesis ; no. CA-83-14Publication details: Bangkok : Asian Institute of Technology, 1983Description: vi, 42, A8 pSubject(s): Online resources: Dissertation note: Thesis (M.Eng.) - Asian Institute of Technology, 1983 Summary: This thesis deals with problems of design optimization with conflicting and unquantifiable objectives. An interactive, multi-objective optimization algorithm is applied to two such design problems, a bridge truss and a cantilever beam of varying cross sectional are. For bridge truss design, the objectives are minimization of weight, and of maximum displacements in the X and Y directions, and of the difference between the maximum and the minimum cross sectional areas of members, choice of acceptable shape, and maximization of stress ratio efficiency; the design variables are the geometry and topology of the structure, and the cross sectional areas of its members. For cantilever beam design, the objectives are minimization of maximum deflection, and of maximum normal stress and its volume. The design variables are the control points of linear splines, representing the variable cross sectional area of the beam. Complete software in the form of Computer Aided Design (CAD) systems is developed and tested for both design problems, using representative numerical examples. Specific examples demonstrate the capability and usefulness of the algorithm for such problems.
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A thesis submitted in partial fulfillment of the requirement for the degree of Master of Engineering, School of Engineering and Technology

Thesis (M.Eng.) - Asian Institute of Technology, 1983

This thesis deals with problems of design optimization with conflicting and unquantifiable objectives. An interactive, multi-objective optimization algorithm is applied to two such design problems, a bridge truss and a cantilever beam of varying cross sectional are. For bridge truss design, the objectives are minimization of weight, and of maximum displacements in the X and Y directions, and of the difference between the maximum and the minimum cross sectional areas of members, choice of acceptable shape, and maximization of stress ratio efficiency; the design variables are the geometry and topology of the structure, and the cross sectional areas of its members. For cantilever beam design, the objectives are minimization of maximum deflection, and of maximum normal stress and its volume. The design variables are the control points of linear splines, representing the variable cross sectional area of the beam. Complete software in the form of Computer Aided Design (CAD) systems is developed and tested for both design problems, using representative numerical examples. Specific examples demonstrate the capability and usefulness of the algorithm for such problems.

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