A computational method for optimal structural design. I. Piecewise uniform structures
- 1 November 1972
- journal article
- Published by Wiley in International Journal for Numerical Methods in Engineering
- Vol. 5 (2) , 171-184
- https://doi.org/10.1002/nme.1620050204
Abstract
This paper presents a technique for the optimal design of a large class of structures arising in civil and mechanical engineering. Constraint conditions on stress level, magnitudes of elastic deformation, natural frequency and buckling load are admitted. A computational method is developed, which takes advantage of special features of the structural optimization problem. Numerical examples are solved to illustrate the applicability of the method. These problems are, in themselves, of engineering interest.Keywords
This publication has 7 references indexed in Scilit:
- Optimization of structural designJournal of Optimization Theory and Applications, 1970
- Optimal design of structures with constraints on natural frequencyAIAA Journal, 1970
- Minimum weight design of complex structures subject to a frequency constraintAIAA Journal, 1970
- Optimum frequency of structures.AIAA Journal, 1968
- Minimum Weight Design of Beams With Inequality Constraints on Stress and DeflectionJournal of Applied Mechanics, 1967
- Perturbation theory for linear operatorsPublished by Springer Nature ,1966
- A Steepest-Ascent Method for Solving Optimum Programming ProblemsJournal of Applied Mechanics, 1962