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Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. JOURNAL of Construction and Architecture

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Jordan eliminations in bar system analysis with changes in design model

https://doi.org/10.31675/1607-1859-2021-23-1-96-104

Abstract

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.

About the Author

D. N. Pestsov
Tomsk State University of Architecture and Building
Russian Federation

Dmitry N. Pestsov, PhD

2, Solyanaya Sq., 634003, Tomsk



References

1. Te A.B. Mekhanicheskaya interpretatsiya Zhordanovykh isklyuchenii v zadachakh rascheta staticheski neopredelimykh sistem [Mechanical interpretation of Jordan elimination in calculating statically indeterminate systems]. Issledovaniya po stroitel'noi mekhanike i stroitel'nym konstruktsiyam. Tomsk, 1988. Pp. 144–150. (rus)

2. Pestsov D.N., Te A.B. Analiz sharnirno-sterzhnevykh sistem pri izmeneniyakh v raschetnoi skheme [Analysis of hinge-rod systems with changes in design model]. In: Problemy teorii rascheta sooruzhenii [Design theory of buildings]. Tomsk: TSUAB, 1998. Pp. 2–4. (rus)

3. Pestsov D.N. Staticheskii analiz sharnirno-sterzhnevykh sistem pri izmeneniyakh v raschetnoi skheme [Static analysis of hinge-rod systems with changes in design model]. In: Sbornik trudov molodykh uchenykh NGASU (Coll. Papers of Young Scientists NGASU). 1999. No. 2. Pp. 21–29. (rus)

4. Pestsov D.N. Uchet odnostoronnei raboty svyazei pri vnesenii izmenenii v raschetnuyu skhemu fermy [Unilateral operation of connections at changes in truss design model]. In: Problemy optimal'nogo proektirovaniya sooruzhenii: sb. dokladov III-go Vserossiiskogo seminara: v 2-kh tomakh (Proc. 3rd All-Russ. Seminar ‘Problems of Optimum Structural Engineering’), in 2 vol., Novosibirsk, 2000. V. 2. Pp. 123–124. (rus)


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For citations:


Pestsov D.N. Jordan eliminations in bar system analysis with changes in design model. Vestnik Tomskogo gosudarstvennogo arkhitekturno-stroitel'nogo universiteta. JOURNAL of Construction and Architecture. 2021;23(1):96-104. (In Russ.) https://doi.org/10.31675/1607-1859-2021-23-1-96-104

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ISSN 1607-1859 (Print)
ISSN 2310-0044 (Online)