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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Format: | Article |
Language: | English |
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Institute of Fundamental Technological Research
1967-06-01
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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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format | Article |
id | doaj-art-c67d89c54ece4d1692a1caa8dbb28d00 |
institution | Matheson Library |
issn | 0867-888X 2450-8071 |
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 |