Open AccessJordan eliminations in bar system analysis with changes in design model
Author(s) -
Dmitry N. Pestsov
Publication year - 2021
Publication title -
vestnik tomskogo gosudarstvennogo arhitekturno-stroitelʹnogo universiteta
Language(s) - English
Resource type - Journals
eISSN - 2310-0044
pISSN - 1607-1859
DOI - 10.31675/1607-1859-2021-23-1-96-104
Subject(s) - statically indeterminate , resolvent , bar (unit) , indeterminate , stiffness , simple (philosophy) , mathematics , beam (structure) , structural engineering , mathematical analysis , computer science , engineering , pure mathematics , physics , philosophy , epistemology , meteorology
The article discusses the use of the Jordan elimination method for solving the system of resolvent equations when analyzing the bar systems. The use of the Jordan elimination method makes it possible to determine the forces in cross-sections of bars and displacements of the system units in the case of changes in the design model of the system without the solution of new resolvent equations at each change. Changes in the design model indicate the introduction or removal of the support or internal connections, changes in the stiffness parameters of elements of statically indeterminate systems, and others. The Jordan elimination method is used for a simple statically indeterminate beam, which is a special case of the bar system.