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The finite element method in engineering [[electronic resource] /] / Singiresu S. Rao
The finite element method in engineering [[electronic resource] /] / Singiresu S. Rao
Autore Rao Singiresu S. <1944->
Edizione [4th ed.]
Pubbl/distr/stampa Amsterdam ; ; Boston, MA, : Elsevier/Butterworth Heinemann, c2005
Descrizione fisica 1 online resource (685 p.)
Disciplina 620.001/51825
Soggetto topico Finite element method
Engineering mathematics
ISBN 1-280-96441-3
9786610964413
0-08-047050-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front Cover; The Finite Element Method in Engineering; Copyright Page; Contents; Preface; Principal Notation; PART 1: INTRODUCTION; Chapter 1. Overview of Finite Element Method; 1.1 Basic Concept; 1.2 Historical Background; 1.3 General Applicability of the Method; 1.4 Engineering Applications of the Finite Element Method; 1.5 General Description of the Finite Element Method; 1.6 Comparison of Finite Element Method with Other Methods of Analysis; 1.7 Finite Element Program Packages; References; Problems; PART 2: BASIC PROCEDURE; Chapter 2. Discretization of the Domain; 2.1 Introduction
2.2 Basic Element Shapes2.3 Discretization Process; 2.4 Node Numbering Scheme; 2.5 Automatic Mesh Generation; References; Problems; Chapter 3. Interpolation Models; 3.1 Introduction; 3.2 Polynomial Form of Interpolation Functions; 3.3 Simplex, Complex, and Multiplex Elements; 3.4 Interpolation Polynomial in Terms of Nodal Degrees of Freedom; 3.5 Selection of the Order of the Interpolation Polynomial; 3.6 Convergence Requirements; 3.7 Linear Interpolation Polynomials in Terms of Global Coordinates; 3.8 Interpolation Polynomials for Vector Quantities
3.9 Linear Interpolation Polynomials in Terms of Local CoordinatesReferences; Problems; Chapter 4. Higher Order and Isoparametric Elements; 4.1 Introduction; 4.2 Higher Order One-Dimensional Elements; 4.3 Higher Order Elements in Terms of Natural Coordinates; 4.4 Higher Order Elements in Terms of Classical Interpolation Polynomials; 4.5 One-Dimensional Elements Using Classical Interpolation Polynomials; 4.6 Two-Dimensional (Rectangular) Elements Using Classical Interpolation Polynomials; 4.7 Continuity Conditions; 4.8 Comparative Study of Elements; 4.9 Isoparametric Elements
4.10 Numerical IntegrationReferences; Problems; Chapter 5. Derivation of Element Matrices and Vectors; 5.1 Introduction; 5.2 Direct Approach; 5.3 Variational Approach; 5.4 Solution of Equilibrium Problems Using Variational (Rayleigh-Ritz) Method; 5.5 Solution of Eigenvalue Problems Using Variational (Rayleigh-Ritz) Method; 5.6 Solution of Propagation Problems Using Variational (Rayleigh-Ritz) Method; 5.7 Equivalence of Finite Element and Variational (Rayleigh-Ritz) Methods; 5.8 Derivation of Finite Element Equations Using Variational (Rayleigh-Ritz) Approach; 5.9 Weighted Residual Approach
5.10 Solution of Eigenvalue Problems Using Weighted Residual Method5.11 Solution of Propagation Problems Using Weighted Residual Method; 5.12 Derivation of Finite Element Equations Using Weighted Residual (Galerkin) Approach; 5.13 Derivation of Finite Element Equations Using Weighted Residual (Least Squares) Approach; References; Problems; Chapter 6. Assembly of Element Matrices and Vectors and Derivation of System Equations; 6.1 Coordinate Transformation; 6.2 Assemblage of Element Equations; 6.3 Computer Implementation of the Assembly Procedure; 6.4 Incorporation of Boundary Conditions
6.5 Incorporation of Boundary Conditions in the Computer Program
Record Nr. UNINA-9910784361103321
Rao Singiresu S. <1944->  
Amsterdam ; ; Boston, MA, : Elsevier/Butterworth Heinemann, c2005
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Vibration of continuous systems / / Singiresu S Rao, University of Miami
Vibration of continuous systems / / Singiresu S Rao, University of Miami
Autore Rao Singiresu S. <1944->
Pubbl/distr/stampa Hoboken, : Wiley, 2019
Descrizione fisica 1 online resource
Disciplina 624.1/71
Soggetto topico Vibration
Structural dynamics
ISBN 1-119-42427-5
1-119-42428-3
1-119-42425-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910554870003321
Rao Singiresu S. <1944->  
Hoboken, : Wiley, 2019
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Vibration of continuous systems / / Singiresu S Rao, University of Miami
Vibration of continuous systems / / Singiresu S Rao, University of Miami
Autore Rao Singiresu S. <1944->
Pubbl/distr/stampa Hoboken, : Wiley, 2019
Descrizione fisica 1 online resource
Disciplina 624.1/71
Soggetto topico Vibration
Structural dynamics
ISBN 1-119-42427-5
1-119-42428-3
1-119-42425-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910830494803321
Rao Singiresu S. <1944->  
Hoboken, : Wiley, 2019
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui