On the solution of the three forces problem and its application in optimal designing of a class of symmetric plane frameworks of least weight: Discussion on the Michell class concept

The details of the Theorem of Michell are examined. Some remarks are made about the quantity of structure and the Maxwell number of a framework and about the Michell optimality criterion. The two-loads bending problem is examined, comparing solutions derived from another one found by Sokół and Lewiń...

Full description

Saved in:
Bibliographic Details
Published in:Structural and multidisciplinary optimization 2011-11, Vol.44 (5), p.723-727
Main Authors: Vázquez Espí, Mariano, Cervera Bravo, Jaime
Format: Article
Language:English
Subjects:
Computational Mathematics and Numerical Analysis
Discussion
Engineering
Engineering Design
Theoretical and Applied Mechanics
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:The details of the Theorem of Michell are examined. Some remarks are made about the quantity of structure and the Maxwell number of a framework and about the Michell optimality criterion. The two-loads bending problem is examined, comparing solutions derived from another one found by Sokół and Lewiński (Struct Multidisc Optim 42:835–853, 2010 ) with others obtained from simulated annealing (SA) search. The collected data suggest that the Michell theorem is a sufficient test for a framework to be optimal, but maybe no necessary. As a consequence, there could exist problems for which the theorem is useless.
ISSN:1615-147X
1615-1488
DOI:10.1007/s00158-011-0702-3