Computer-aided design with integer programming
Abstract
An engineering procedure for computer-aided design with application to static structural design is described. The problem consists of optimizing (in terms of weight, cost, or their ratio) the design of a structure for which equilibrium, compatibility, and limiting conditions are satisfied. A mathematical model is formulated for the case of linear constraints and then extended to the case of nonlinear constraints. In both cases the problem is reduced to that of a '0-1' integer programming task to which the enumerative method can be applied.
- Publication:
-
Acta Technica
- Pub Date:
- 1977
- Bibcode:
- 1977AcTec..85..421G
- Keywords:
-
- Computer Aided Design;
- Mathematical Programming;
- Matrix Methods;
- Structural Design;
- Algorithms;
- Equilibrium Methods;
- Nonlinearity;
- Optimization;
- Stiffness Matrix;
- Structural Analysis;
- Structural Engineering;
- Engineering (General)