Geometric Programming for Continuous Design Problems,
Abstract
The present paper examines a certain extension of Geometric Programming for functionals defined in infinite-dimensional space. The intended application is for continuous problems in design optimization. A brief summary of previous work is given and the particular version of the primal problem to be studied is stated. The construction of the dual problem is presented using two approaches, one involving the formulation and reinterpretation of the Lagrangian functional and another utilizing the concepts of conjugate functions. Both approaches give the same results. The (generalized) zero degree of difficulty dual problem is solved exposing the similarities between the continuous case and the more familiar discrete one. Two simple structural design problems are included to illustrate the application of the method. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 01, 1981
- Accession Number
- ADP000071
Entities
People
- Alejandro A Diaz
- John Taylor
- Panos Papalambros
Organizations
- University of Michigan