One-dimensional finite elements: an introduction to the FE method
<p> This textbook presents finite element methods using exclusively one-dimensional elements. The aim is to present the complex methodology in an easily understandable but mathematically correct fashion. The approach of one-dimensional elements enables the reader to focus on the understandi...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2013
|
| Schlagworte: | |
| Online-Zugang: | BTU01 FHA01 FHI01 FHN01 FHR01 FKE01 FWS01 UBY01 Volltext |
| Zusammenfassung: | <p> This textbook presents finite element methods using exclusively one-dimensional elements. The aim is to present the complex methodology in an easily understandable but mathematically correct fashion. The approach of one-dimensional elements enables the reader to focus on the understanding of the principles of basic and advanced mechanical problems. The reader easily understands the assumptions and limitations of mechanical modeling as well as the underlying physics without struggling with complex mathematics. But although the description is easy it remains scientifically correct.</p><p> The approach using only one-dimensional elements covers not only standard problems but allows also for advanced topics like plasticity or the mechanics of composite materials. Many examples illustrate the concepts and problems at the end of every chapter help to familiarize with the topics.</p><p> |
| Beschreibung: | Motivation for the Finite Element Method -- Bar Element -- Torsion bar -- Bending Element -- General 1D Element -- Plane and Spatial Frame Structures -- Beam with Shear Contribution -- Beams of Composite Materials -- Nonlinear Elasticity -- Plasticity -- Stability (Buckling) -- Dynamics |
| Beschreibung: | 1 Online-Ressource (XXIII, 398 p. 205 illus) |
| ISBN: | 9783642317972 |
| DOI: | 10.1007/978-3-642-31797-2 |
Internformat
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| 520 | |a <p> This textbook presents finite element methods using exclusively one-dimensional elements. The aim is to present the complex methodology in an easily understandable but mathematically correct fashion. The approach of one-dimensional elements enables the reader to focus on the understanding of the principles of basic and advanced mechanical problems. The reader easily understands the assumptions and limitations of mechanical modeling as well as the underlying physics without struggling with complex mathematics. But although the description is easy it remains scientifically correct.</p><p> The approach using only one-dimensional elements covers not only standard problems but allows also for advanced topics like plasticity or the mechanics of composite materials. Many examples illustrate the concepts and problems at the end of every chapter help to familiarize with the topics.</p><p> | ||
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Datensatz im Suchindex
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| dewey-search | 620.1 |
| dewey-sort | 3620.1 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-642-31797-2 |
| format | Electronic eBook |
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| spellingShingle | Öchsner, Andreas 1970- One-dimensional finite elements an introduction to the FE method Informatik Ingenieurwissenschaften Mathematik Engineering Computer science / Mathematics Mechanical engineering Stab (DE-588)4056679-1 gnd Rahmentragwerk (DE-588)4176886-3 gnd Strukturmechanik (DE-588)4126904-4 gnd Balken (DE-588)4004336-8 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
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| title | One-dimensional finite elements an introduction to the FE method |
| title_auth | One-dimensional finite elements an introduction to the FE method |
| title_exact_search | One-dimensional finite elements an introduction to the FE method |
| title_full | One-dimensional finite elements an introduction to the FE method Andreas Öchsner ; Markus Merkel |
| title_fullStr | One-dimensional finite elements an introduction to the FE method Andreas Öchsner ; Markus Merkel |
| title_full_unstemmed | One-dimensional finite elements an introduction to the FE method Andreas Öchsner ; Markus Merkel |
| title_short | One-dimensional finite elements |
| title_sort | one dimensional finite elements an introduction to the fe method |
| title_sub | an introduction to the FE method |
| topic | Informatik Ingenieurwissenschaften Mathematik Engineering Computer science / Mathematics Mechanical engineering Stab (DE-588)4056679-1 gnd Rahmentragwerk (DE-588)4176886-3 gnd Strukturmechanik (DE-588)4126904-4 gnd Balken (DE-588)4004336-8 gnd Finite-Elemente-Methode (DE-588)4017233-8 gnd |
| topic_facet | Informatik Ingenieurwissenschaften Mathematik Engineering Computer science / Mathematics Mechanical engineering Stab Rahmentragwerk Strukturmechanik Balken Finite-Elemente-Methode Lehrbuch |
| url | https://doi.org/10.1007/978-3-642-31797-2 |
| work_keys_str_mv | AT ochsnerandreas onedimensionalfiniteelementsanintroductiontothefemethod AT merkelmarkus onedimensionalfiniteelementsanintroductiontothefemethod |