Optimum plastic design of unbraced frames of irregular configuration
type: Item
instance of: scholarly article
title: Optimum plastic design of unbraced frames of irregular configuration
zbMATH Open document ID: 0601.73087
DOI: 10.1016/0020-7683(86)90021-1
author: Hojjat Adeli
author: Nabil S. Mabrouk
published in: International Journal of Solids and Structures
publication date: 1986-01-01T00:00:00Z
review text: An efficient algorithm is developed for optimum plastic design of low- rise unbraced frames of general configuration. The algorithm is based on the static approach of limit analysis without generating the independent mechanisms. Three equations of equilibrium are written at each joint of the frame to form the equality constraints. To increase the efficiency of the linear programming formulation, a revised simplex method is employed in which the inverse of the basis is represented as a product of elementary matrices. The elementary matrices are actually saved as column matrices to save storage in the microcomputer. Therefore, this approach is more efficient in terms of speed and storage. Based on the algorithm presented, a microcomputer program is developed for optimum plastic design of low-rise frames of arbitrary configuration on an IBM personal computer. The objective of such an optimal design is to find plastic moment capacities of the frame elements that minimize the weight of the structure. Three examples are presented in order to show the practicality of the optimum plastic design of frames on available microcomputers.
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74-04
Mathematics Subject Classification ID: 74R20
Mathematics Subject Classification ID: 65K05
zbMATH DE Number: 3970243
zbMATH Keywords: algorithm
zbMATH Keywords: optimum plastic design
zbMATH Keywords: low-rise unbraced frames
zbMATH Keywords: general configuration
zbMATH Keywords: linear programming formulation
zbMATH Keywords: simplex method
zbMATH Keywords: microcomputer program
MaRDI profile type: Publication
full work available at URL: 0020-7683(86)90021-1
OpenAlex ID: W1986815880
description: scientific article; zbMATH DE number 3970243