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One-Dimensional Finite Elements: An Introduction to the FE Method

Kataloginformation Katalogdatensatz500177286 .

Kataloginformation
Feldname	Details
Vorliegende Sprache	eng
Hinweise auf parallele Ausgaben	378508512 Buchausg. u.d.T.: ‡Öchsner, Andreas, 1970 - : One-dimensional finite elements
ISBN	978-3-642-31796-5
Name	Öchsner, Andreas
Name	Merkel, Markus
ANZEIGE DER KETTE	Merkel, Markus
T I T E L	One-Dimensional Finite Elements
Zusatz zum Titel	An Introduction to the FE Method
Verlagsort	Berlin ; Heidelberg
Verlag	Springer
Erscheinungsjahr	2013
Erscheinungsjahr	2013
Umfang	Online-Ressource (XXIII, 398 p. 205 illus, digital)
Reihe	SpringerLink. Bücher
Notiz / Fußnoten	Description based upon print version of record
Weiterer Inhalt	""One-Dimensional Finite Elements""; ""Preface""; ""Acknowledgments""; ""Contents""; ""Symbols and Abbreviations""; ""1 Introduction""; ""1.1 The Finite Element Method at a Glance""; ""1.2 Foundations of Modeling""; ""Reference""; ""2 Motivation for the Finite Element Method""; ""2.1 From the Engineering Perspective Derived Methods""; ""2.1.1 The Matrix Stiffness Method""; ""2.1.2 Transition to the Continuum""; ""2.2 Integral Principles""; ""2.3 Weighted Residual Method""; ""2.3.1 Procedure on Basis of the Inner Product""; ""2.3.2 Procedure on Basis of the Weak Formulation"". ""2.3.3 Procedure on Basis of the Inverse Formulation""""2.4 Sample Problems""; ""References""; ""3 Bar Element""; ""3.1 Basic Description of the Bar Element""; ""3.2 The Finite Element Tension Bar""; ""3.2.1 Derivation Through Potential""; ""3.2.2 Derivation Through Castigliano's Theorem""; ""3.2.3 Derivation Through the Weighted Residual Method""; ""3.3 Sample Problems and Supplementary Problems""; ""3.3.1 Sample Problems""; ""3.3.2 Supplementary Problems""; ""References""; ""4 Torsion Bar""; ""4.1 Basic Description of the Torsion Bar""; ""4.2 The Finite Element Torsion Bar"". ""References""""5 Bending Element""; ""5.1 Introductory Remarks ""; ""5.2 Basic Description of the Beam""; ""5.2.1 Kinematics""; ""5.2.2 Equilibrium""; ""5.2.3 Constitutive Equation""; ""5.2.4 Differential Equation of the Bending Line""; ""5.2.5 Analytical Solutions""; ""5.3 The Finite Element Method of Plane Bending Beams""; ""5.3.1 Derivation Through Potential""; ""5.3.2 Weighted Residual Method""; ""5.3.3 Comments on the Derivation of the Shape Functions""; ""5.4 The Finite Element Bending Beam with two Deformation Planes""; ""5.5 Transformation Within the Plane"". ""5.6 Transformation Within the Space""""5.7 Determination of Equivalent Nodal Loads""; ""5.8 Sample Problems and Supplementary Problems""; ""5.8.1 Sample Problems""; ""5.8.2 Supplementary Problems""; ""References""; ""6 General 1D Element""; ""6.1 Superposition to a General 1D Element""; ""6.1.1 Sample 1: Bar Under Tension and Torsion""; ""6.1.2 Sample 2: Beam in the Plane with Tension Part""; ""6.2 Coordinate Transformation""; ""6.2.1 Plane Structures""; ""6.2.2 General Three-Dimensional Structures""; ""6.3 Numerical Integration of a Finite Element""; ""6.4 Shape Function"". ""6.5 Unit Domain""""6.6 Supplementary Problems""; ""References""; ""7 Plane and Spatial Frame Structures""; ""7.1 Assembly of the Total Stiffness Relation""; ""7.2 Solving of the System Equation""; ""7.3 Solution Evaluation""; ""7.4 Examples in the Plane""; ""7.4.1 Plane Structure with Two Bars""; ""7.4.2 Plane Structure: Beam and Bar""; ""7.5 Examples in the Three-Dimensional Space""; ""7.6 Supplementary Problems""; ""References""; ""8 Beam with Shear Contribution""; ""8.1 Introductory Remarks""; ""8.2 Basic Description of the Beam with Shear Contribution""; ""8.2.1 Kinematics"". ""8.2.2 Equilibrium""
Titelhinweis	Buchausg. u.d.T.: ‡Öchsner, Andreas, 1970 - : One-dimensional finite elements
ISBN	ISBN 978-3-642-31797-2
Klassifikation	TGB
	SCI041000
	TEC009070
	*70-01
	74S05
	74K10
	620.1
	TA349-359
	SK 910
Kurzbeschreibung	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. 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.
1. Schlagwortkette	Strukturmechanik
	Stab
	Balken
	Rahmentragwerk
	Finite-Elemente-Methode
	Lehrbuch
	Lehrbuch
1. Schlagwortkette ANZEIGE DER KETTE	Strukturmechanik -- Stab -- Balken -- Rahmentragwerk -- Finite-Elemente-Methode -- Lehrbuch -- Lehrbuch
2. Schlagwortkette	Strukturmechanik
2. Schlagwortkette	Finite-Elemente-Methode
ANZEIGE DER KETTE	Strukturmechanik -- Finite-Elemente-Methode
SWB-Titel-Idn	375369163
Signatur	Springer E-Book
Bemerkungen	Elektronischer Volltext - Campuslizenz
Elektronische Adresse	$uhttp://dx.doi.org/10.1007/978-3-642-31797-2
Internetseite / Link	Volltext
Siehe auch	Inhaltsverzeichnis
Siehe auch	Inhaltstext
Siehe auch	Volltext
Siehe auch	Cover
Siehe auch	Inhaltstext

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