Stateczność Prętów o Skokowo Zmiennym Przekroju Ściskanych Siłą Śledzącą

The stability analysis for the above bar (which is a cantilever bar) is done by introducing in the Lagrange equations a two-parameter family of elastic lines composed of two joined segments, the total number of boundary conditions being eight. After formulating the kinetic criterion, the tangential...

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Main Author: A. Kowalski
Format: Article
Language:English
Published: Institute of Fundamental Technological Research 1967-06-01
Series:Engineering Transactions
Online Access:https://et.ippt.pan.pl/index.php/et/article/view/2679
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author A. Kowalski
author_facet A. Kowalski
author_sort A. Kowalski
collection DOAJ
description The stability analysis for the above bar (which is a cantilever bar) is done by introducing in the Lagrange equations a two-parameter family of elastic lines composed of two joined segments, the total number of boundary conditions being eight. After formulating the kinetic criterion, the tangential force is obtained in function of the location of the section jump and the ratio of moments of inertia. The influence of the ratio of masses and moments of inertia of both parts of the bar on the magnitude of the critical force proves to be insignificant especially for J1/J2 < 1,0. An optimization analysis proves the possibility of saving about 6 per cent of the weight if a constant section bar is replaced by a sectionally constant section.
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institution Matheson Library
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language English
publishDate 1967-06-01
publisher Institute of Fundamental Technological Research
record_format Article
series Engineering Transactions
spelling doaj-art-c67d89c54ece4d1692a1caa8dbb28d002025-07-11T05:02:05ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80711967-06-01152Stateczność Prętów o Skokowo Zmiennym Przekroju Ściskanych Siłą ŚledzącąA. Kowalski0Politechnika KrakowskaThe stability analysis for the above bar (which is a cantilever bar) is done by introducing in the Lagrange equations a two-parameter family of elastic lines composed of two joined segments, the total number of boundary conditions being eight. After formulating the kinetic criterion, the tangential force is obtained in function of the location of the section jump and the ratio of moments of inertia. The influence of the ratio of masses and moments of inertia of both parts of the bar on the magnitude of the critical force proves to be insignificant especially for J1/J2 < 1,0. An optimization analysis proves the possibility of saving about 6 per cent of the weight if a constant section bar is replaced by a sectionally constant section. https://et.ippt.pan.pl/index.php/et/article/view/2679
spellingShingle A. Kowalski
Stateczność Prętów o Skokowo Zmiennym Przekroju Ściskanych Siłą Śledzącą
Engineering Transactions
title Stateczność Prętów o Skokowo Zmiennym Przekroju Ściskanych Siłą Śledzącą
title_full Stateczność Prętów o Skokowo Zmiennym Przekroju Ściskanych Siłą Śledzącą
title_fullStr Stateczność Prętów o Skokowo Zmiennym Przekroju Ściskanych Siłą Śledzącą
title_full_unstemmed Stateczność Prętów o Skokowo Zmiennym Przekroju Ściskanych Siłą Śledzącą
title_short Stateczność Prętów o Skokowo Zmiennym Przekroju Ściskanych Siłą Śledzącą
title_sort statecznosc pretow o skokowo zmiennym przekroju sciskanych sila sledzaca
url https://et.ippt.pan.pl/index.php/et/article/view/2679
work_keys_str_mv AT akowalski statecznoscpretowoskokowozmiennymprzekrojusciskanychsiłasledzaca