Convex models of uncertainty in applied mechanics
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Format: | Elektronisch E-Book |
Sprache: | English |
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Amsterdam
Elsevier
1990
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Schriftenreihe: | Studies in applied mechanics
25 |
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Online-Zugang: | DE-1046 URL des Erstveröffentlichers |
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100 | 1 | |a Ben-Haim, Yakov |e Verfasser |4 aut | |
245 | 1 | 0 | |a Convex models of uncertainty in applied mechanics |c Yakov Ben-Haim and Isaac Elishakoff |
264 | 1 | |a Amsterdam |b Elsevier |c 1990 | |
300 | |a xvii, 221 pages | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
490 | 0 | |a Studies in applied mechanics |v 25 | |
500 | |a Includes bibliographical references (pages 199-214) | ||
500 | |a Recognition of the need to introduce the ideas of uncertainty in a wide variety of scientific fields today reflects in part some of the profound changes in science and engineering over the last decades. Nobody questions the ever-present need for a solid foundation in applied mechanics. Neither does anyone question nowadays the fundamental necessity to recognize that uncertainty exists, to learn to evaluate it rationally, and to incorporate it into design. This volume provides a timely and stimulating overview of the analysis of uncertainty in applied mechanics. It is not just one more rendition of the traditional treatment of the subject, nor is it intended to supplement existing structural engineering books. Its aim is to fill a gap in the existing professional literature by concentrating on the non-probabilistic model of uncertainty. It provides an alternative avenue for the analysis of uncertainty when only a limited amount of information is available. The first chapter briefly reviews probabilistic methods and discusses the sensitivity of the probability of failure to uncertain knowledge of the system. Chapter two discusses the mathematical background of convex modelling. In the remainder of the book, convex modelling is applied to various linear and nonlinear problems. Uncertain phenomena are represented throughout the book by convex sets, and this approach is referred to as convex modelling. This book is intended to inspire researchers in their goal towards further growth and development in this field | ||
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Datensatz im Suchindex
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---|---|
any_adam_object | |
author | Ben-Haim, Yakov |
author_facet | Ben-Haim, Yakov |
author_role | aut |
author_sort | Ben-Haim, Yakov |
author_variant | y b h ybh |
building | Verbundindex |
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dewey-full | 620.1 |
dewey-hundreds | 600 - Technology (Applied sciences) |
dewey-ones | 620 - Engineering and allied operations |
dewey-raw | 620.1 |
dewey-search | 620.1 |
dewey-sort | 3620.1 |
dewey-tens | 620 - Engineering and allied operations |
format | Electronic eBook |
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id | DE-604.BV044380209 |
illustrated | Not Illustrated |
indexdate | 2024-12-24T05:59:04Z |
institution | BVB |
isbn | 0444884068 9780444884060 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029782431 |
oclc_num | 610212607 |
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owner | DE-1046 |
owner_facet | DE-1046 |
physical | xvii, 221 pages |
psigel | ZDB-33-ESD ZDB-33-ESD FAW_PDA_ESD |
publishDate | 1990 |
publishDateSearch | 1990 |
publishDateSort | 1990 |
publisher | Elsevier |
record_format | marc |
series2 | Studies in applied mechanics |
spelling | Ben-Haim, Yakov Verfasser aut Convex models of uncertainty in applied mechanics Yakov Ben-Haim and Isaac Elishakoff Amsterdam Elsevier 1990 xvii, 221 pages txt rdacontent c rdamedia cr rdacarrier Studies in applied mechanics 25 Includes bibliographical references (pages 199-214) Recognition of the need to introduce the ideas of uncertainty in a wide variety of scientific fields today reflects in part some of the profound changes in science and engineering over the last decades. Nobody questions the ever-present need for a solid foundation in applied mechanics. Neither does anyone question nowadays the fundamental necessity to recognize that uncertainty exists, to learn to evaluate it rationally, and to incorporate it into design. This volume provides a timely and stimulating overview of the analysis of uncertainty in applied mechanics. It is not just one more rendition of the traditional treatment of the subject, nor is it intended to supplement existing structural engineering books. Its aim is to fill a gap in the existing professional literature by concentrating on the non-probabilistic model of uncertainty. It provides an alternative avenue for the analysis of uncertainty when only a limited amount of information is available. The first chapter briefly reviews probabilistic methods and discusses the sensitivity of the probability of failure to uncertain knowledge of the system. Chapter two discusses the mathematical background of convex modelling. In the remainder of the book, convex modelling is applied to various linear and nonlinear problems. Uncertain phenomena are represented throughout the book by convex sets, and this approach is referred to as convex modelling. This book is intended to inspire researchers in their goal towards further growth and development in this field Ensembles convexes Probabilités Mécanique appliquée Convex sets fast Mechanics, Applied fast Probabilities fast Convex sets Probabilities Mechanics, Applied Technische Mechanik (DE-588)4059231-5 gnd rswk-swf Konvexe Menge (DE-588)4165212-5 gnd rswk-swf Unvollkommene Information (DE-588)4140474-9 gnd rswk-swf Mechanik (DE-588)4038168-7 gnd rswk-swf Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd rswk-swf Unvollkommene Information (DE-588)4140474-9 s Konvexe Menge (DE-588)4165212-5 s Mechanik (DE-588)4038168-7 s 1\p DE-604 Wahrscheinlichkeitsrechnung (DE-588)4064324-4 s 2\p DE-604 Technische Mechanik (DE-588)4059231-5 s 3\p DE-604 Elishakoff, Isaac Sonstige oth http://www.sciencedirect.com/science/bookseries/09225382/25 Verlag URL des Erstveröffentlichers 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Ben-Haim, Yakov Convex models of uncertainty in applied mechanics Ensembles convexes Probabilités Mécanique appliquée Convex sets fast Mechanics, Applied fast Probabilities fast Convex sets Probabilities Mechanics, Applied Technische Mechanik (DE-588)4059231-5 gnd Konvexe Menge (DE-588)4165212-5 gnd Unvollkommene Information (DE-588)4140474-9 gnd Mechanik (DE-588)4038168-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
subject_GND | (DE-588)4059231-5 (DE-588)4165212-5 (DE-588)4140474-9 (DE-588)4038168-7 (DE-588)4064324-4 |
title | Convex models of uncertainty in applied mechanics |
title_auth | Convex models of uncertainty in applied mechanics |
title_exact_search | Convex models of uncertainty in applied mechanics |
title_full | Convex models of uncertainty in applied mechanics Yakov Ben-Haim and Isaac Elishakoff |
title_fullStr | Convex models of uncertainty in applied mechanics Yakov Ben-Haim and Isaac Elishakoff |
title_full_unstemmed | Convex models of uncertainty in applied mechanics Yakov Ben-Haim and Isaac Elishakoff |
title_short | Convex models of uncertainty in applied mechanics |
title_sort | convex models of uncertainty in applied mechanics |
topic | Ensembles convexes Probabilités Mécanique appliquée Convex sets fast Mechanics, Applied fast Probabilities fast Convex sets Probabilities Mechanics, Applied Technische Mechanik (DE-588)4059231-5 gnd Konvexe Menge (DE-588)4165212-5 gnd Unvollkommene Information (DE-588)4140474-9 gnd Mechanik (DE-588)4038168-7 gnd Wahrscheinlichkeitsrechnung (DE-588)4064324-4 gnd |
topic_facet | Ensembles convexes Probabilités Mécanique appliquée Convex sets Mechanics, Applied Probabilities Technische Mechanik Konvexe Menge Unvollkommene Information Mechanik Wahrscheinlichkeitsrechnung |
url | http://www.sciencedirect.com/science/bookseries/09225382/25 |
work_keys_str_mv | AT benhaimyakov convexmodelsofuncertaintyinappliedmechanics AT elishakoffisaac convexmodelsofuncertaintyinappliedmechanics |