O Przekształceniach Ustroju Czterowęzłowego przez Wymianę Prętów

An arbitrary four-node isostatic field of plane lattice is considered. The object of the paper is to determine such a system of bars for a pre- scribed load and an invariable configuration of the nodes, that the elastic potential takes its minimum value. The paper contains theorems on the existence...

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Bibliographic Details
Published in:Engineering Transactions
Main Author: J. Grycz
Format: Article
Language:English
Published: Institute of Fundamental Technological Research Polish Academy of Sciences 1960-03-01
Online Access:https://et.ippt.pan.pl/index.php/et/article/view/2908
Description
Summary:An arbitrary four-node isostatic field of plane lattice is considered. The object of the paper is to determine such a system of bars for a pre- scribed load and an invariable configuration of the nodes, that the elastic potential takes its minimum value. The paper contains theorems on the existence of four-node structures gathering the minimum value of the elastic potential. In addition, it gives the derivation of the relations for determining the minimum value structure. The considerations concerning the four-node lattice field constitute a basis for the analysis of the minimum value of the potential of an arbitrary isostatic plane lattice with transformations by exchanging bars.
ISSN:0867-888X
2450-8071