Finite Elements Using Maxima: Theory and Routines for Rods and Beams

Gespeichert in:

Personen und Körperschaften:	Öchsner, Andreas (VerfasserIn), Makvandi, Resam (VerfasserIn)
Titel:	Finite Elements Using Maxima: Theory and Routines for Rods and Beams/ by Andreas Öchsner, Resam Makvandi
Format:	E-Book
Sprache:	Englisch
veröffentlicht:	Cham Springer 2019
Gesamtaufnahme:	Springer eBooks Springer eBook Collection
Schlagwörter:	Electronic data processing Computer science Solid Mechanics Mechanics Mechanics, Applied Numerical analysis. Computer mathematics.
Quelle:	Verbunddaten SWB


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contents	Introduction -- Maxima - A Computer Algebra System -- Rods and Trusses -- Euler-Bernoulli Beams and Frames -- Timoshenko Beams and Frames, This book provides a study aid on the finite element method. Based on the free computer algebra system “Maxima”, it presents routines to symbolically or numerically solve problems in the context of plane truss and frame structures. This allows readers to not only check classical “hand calculations” but also understand the computer implementation of the method. The mechanical theories focus on the classical one-dimensional structural elements, i.e. bars, Euler–Bernoulli and Timoshenko beams as well as their combination to generalized beam elements. Focusing on one-dimensional elements reduces the complexity of the mathematical framework and the resulting matrix equations can still be displayed with all components, and not only in a symbolic representation. The use of a computer algebra system and the incorporated functions, e.g. for equation solving, highlights the methodology of the finite element method rather than standard procedures. The book is based on the Springer Brief “Finite Elements for Truss and Frame Structures” (978-3-319-94940-6) by the same authors
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spelling	Öchsner, Andreas 1970- VerfasserIn (DE-588)1069452386 (DE-627)821926489 (DE-576)186554478 aut, Finite Elements Using Maxima Theory and Routines for Rods and Beams by Andreas Öchsner, Resam Makvandi, Cham Springer 2019, 1 Online-Ressource (XIII, 256 p. 216 illus., 57 illus. in color), Text txt rdacontent, Computermedien c rdamedia, Online-Ressource cr rdacarrier, Springer eBooks Engineering, Springer eBook Collection, Introduction -- Maxima - A Computer Algebra System -- Rods and Trusses -- Euler-Bernoulli Beams and Frames -- Timoshenko Beams and Frames, This book provides a study aid on the finite element method. Based on the free computer algebra system “Maxima”, it presents routines to symbolically or numerically solve problems in the context of plane truss and frame structures. This allows readers to not only check classical “hand calculations” but also understand the computer implementation of the method. The mechanical theories focus on the classical one-dimensional structural elements, i.e. bars, Euler–Bernoulli and Timoshenko beams as well as their combination to generalized beam elements. Focusing on one-dimensional elements reduces the complexity of the mathematical framework and the resulting matrix equations can still be displayed with all components, and not only in a symbolic representation. The use of a computer algebra system and the incorporated functions, e.g. for equation solving, highlights the methodology of the finite element method rather than standard procedures. The book is based on the Springer Brief “Finite Elements for Truss and Frame Structures” (978-3-319-94940-6) by the same authors, Electronic data processing, Computer science, Solid Mechanics, Mechanics, Mechanics, Applied, Numerical analysis., Computer mathematics., Makvandi, Resam 1988- VerfasserIn (DE-588)1165537834 (DE-627)1029474303 (DE-576)51041589X aut, 9783030171988, Erscheint auch als Druck-Ausgabe 978-3-030-17198-8, https://doi.org/10.1007/978-3-030-17199-5 X:SPRINGER Resolving-System lizenzpflichtig, https://zbmath.org/?q=an:1427.74001 B:ZBM 2021-04-12 Verlag Zentralblatt MATH Inhaltstext, https://doi.org/10.1007/978-3-030-17199-5 DE-14, DE-14 epn:3588579036 2020-02-06T11:12:13Z, https://doi.org/10.1007/978-3-030-17199-5 DE-Ch1, DE-Ch1 epn:3481049374 2019-06-04T17:12:55Z, DE-105 epn:3481416075 2019-06-05T11:17:18Z, https://doi.org/10.1007/978-3-030-17199-5 DE-Zwi2, DE-Zwi2 epn:3481049382 2019-06-04T17:12:55Z
spellingShingle	Öchsner, Andreas, Makvandi, Resam, Finite Elements Using Maxima: Theory and Routines for Rods and Beams, Introduction -- Maxima - A Computer Algebra System -- Rods and Trusses -- Euler-Bernoulli Beams and Frames -- Timoshenko Beams and Frames, This book provides a study aid on the finite element method. Based on the free computer algebra system “Maxima”, it presents routines to symbolically or numerically solve problems in the context of plane truss and frame structures. This allows readers to not only check classical “hand calculations” but also understand the computer implementation of the method. The mechanical theories focus on the classical one-dimensional structural elements, i.e. bars, Euler–Bernoulli and Timoshenko beams as well as their combination to generalized beam elements. Focusing on one-dimensional elements reduces the complexity of the mathematical framework and the resulting matrix equations can still be displayed with all components, and not only in a symbolic representation. The use of a computer algebra system and the incorporated functions, e.g. for equation solving, highlights the methodology of the finite element method rather than standard procedures. The book is based on the Springer Brief “Finite Elements for Truss and Frame Structures” (978-3-319-94940-6) by the same authors, Electronic data processing, Computer science, Solid Mechanics, Mechanics, Mechanics, Applied, Numerical analysis., Computer mathematics.
title	Finite Elements Using Maxima: Theory and Routines for Rods and Beams
title_auth	Finite Elements Using Maxima Theory and Routines for Rods and Beams
title_full	Finite Elements Using Maxima Theory and Routines for Rods and Beams by Andreas Öchsner, Resam Makvandi
title_fullStr	Finite Elements Using Maxima Theory and Routines for Rods and Beams by Andreas Öchsner, Resam Makvandi
title_full_unstemmed	Finite Elements Using Maxima Theory and Routines for Rods and Beams by Andreas Öchsner, Resam Makvandi
title_short	Finite Elements Using Maxima
title_sort	finite elements using maxima theory and routines for rods and beams
title_sub	Theory and Routines for Rods and Beams
title_unstemmed	Finite Elements Using Maxima: Theory and Routines for Rods and Beams
topic	Electronic data processing, Computer science, Solid Mechanics, Mechanics, Mechanics, Applied, Numerical analysis., Computer mathematics.
topic_facet	Electronic data processing, Computer science, Solid Mechanics, Mechanics, Mechanics, Applied, Numerical analysis., Computer mathematics.
url	https://doi.org/10.1007/978-3-030-17199-5, https://zbmath.org/?q=an:1427.74001
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