Plane Elastic Systems:
Gespeichert in:
1. Verfasser: | |
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Format: | Elektronisch E-Book |
Sprache: | German |
Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1960
|
Schriftenreihe: | Ergebnisse der Angewandten Mathematik, Unter Mitwirkung der Schriftleitung des "Zentralblatt für Mathematik"
6 |
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | In an epoch-making paper entitled "On an approximate solution for the bending of a beam of rectangular cross-section under any system of load with special reference to points of concentrated or discontinuous loading", received by the Royal Society on June 12, 1902, L. N. G. FlLON introduced the notion of what was subsequently called by LovE "general ized plane stress". In the same paper FILON also gave the fundamental equations which express the displacement (u, v) in terms of the complex variable. The three basic equations of the theory of KOLOSOV (1909) which was subsequently developed and improved by MUSKHELISHVILI (1915 and onwards) can be derived directly from Filon's equations. The derivation is indicated by FILONENKO-BoRODICH. Although FILON proceeded at once to the real variable, historically he is the founder of the modern theory of the application of the complex variable to plane elastic problems. The method was developed independently by A. C. STEVENSON in a paper received by the Royal Society in 1940 but which was not published, for security reasons, untill945 |
Beschreibung: | 1 Online-Ressource (VIII, 211 S.) |
ISBN: | 9783642527548 9783642527555 |
DOI: | 10.1007/978-3-642-52754-8 |
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Datensatz im Suchindex
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author | Milne-Thomson, L. M. |
author_facet | Milne-Thomson, L. M. |
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dewey-full | 510 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 510 - Mathematics |
dewey-raw | 510 |
dewey-search | 510 |
dewey-sort | 3510 |
dewey-tens | 510 - Mathematics |
discipline | Allgemeine Naturwissenschaft Mathematik |
doi_str_mv | 10.1007/978-3-642-52754-8 |
format | Electronic eBook |
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id | DE-604.BV042445707 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:21:54Z |
institution | BVB |
isbn | 9783642527548 9783642527555 |
language | German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027880954 |
oclc_num | 863885533 |
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physical | 1 Online-Ressource (VIII, 211 S.) |
psigel | ZDB-2-SNA ZDB-2-BAD ZDB-2-SNA_Archive |
publishDate | 1960 |
publishDateSearch | 1960 |
publishDateSort | 1960 |
publisher | Springer Berlin Heidelberg |
record_format | marc |
series2 | Ergebnisse der Angewandten Mathematik, Unter Mitwirkung der Schriftleitung des "Zentralblatt für Mathematik" |
spelling | Milne-Thomson, L. M. Verfasser aut Plane Elastic Systems von L. M. Milne-Thomson Berlin, Heidelberg Springer Berlin Heidelberg 1960 1 Online-Ressource (VIII, 211 S.) txt rdacontent c rdamedia cr rdacarrier Ergebnisse der Angewandten Mathematik, Unter Mitwirkung der Schriftleitung des "Zentralblatt für Mathematik" 6 In an epoch-making paper entitled "On an approximate solution for the bending of a beam of rectangular cross-section under any system of load with special reference to points of concentrated or discontinuous loading", received by the Royal Society on June 12, 1902, L. N. G. FlLON introduced the notion of what was subsequently called by LovE "general ized plane stress". In the same paper FILON also gave the fundamental equations which express the displacement (u, v) in terms of the complex variable. The three basic equations of the theory of KOLOSOV (1909) which was subsequently developed and improved by MUSKHELISHVILI (1915 and onwards) can be derived directly from Filon's equations. The derivation is indicated by FILONENKO-BoRODICH. Although FILON proceeded at once to the real variable, historically he is the founder of the modern theory of the application of the complex variable to plane elastic problems. The method was developed independently by A. C. STEVENSON in a paper received by the Royal Society in 1940 but which was not published, for security reasons, untill945 Mathematics Mathematics, general Mathematik Elastizitätstheorie (DE-588)4123124-7 gnd rswk-swf Elastizität (DE-588)4014159-7 gnd rswk-swf Elastizitätstheorie (DE-588)4123124-7 s 1\p DE-604 Elastizität (DE-588)4014159-7 s 2\p DE-604 https://doi.org/10.1007/978-3-642-52754-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Milne-Thomson, L. M. Plane Elastic Systems Mathematics Mathematics, general Mathematik Elastizitätstheorie (DE-588)4123124-7 gnd Elastizität (DE-588)4014159-7 gnd |
subject_GND | (DE-588)4123124-7 (DE-588)4014159-7 |
title | Plane Elastic Systems |
title_auth | Plane Elastic Systems |
title_exact_search | Plane Elastic Systems |
title_full | Plane Elastic Systems von L. M. Milne-Thomson |
title_fullStr | Plane Elastic Systems von L. M. Milne-Thomson |
title_full_unstemmed | Plane Elastic Systems von L. M. Milne-Thomson |
title_short | Plane Elastic Systems |
title_sort | plane elastic systems |
topic | Mathematics Mathematics, general Mathematik Elastizitätstheorie (DE-588)4123124-7 gnd Elastizität (DE-588)4014159-7 gnd |
topic_facet | Mathematics Mathematics, general Mathematik Elastizitätstheorie Elastizität |
url | https://doi.org/10.1007/978-3-642-52754-8 |
work_keys_str_mv | AT milnethomsonlm planeelasticsystems |