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Computational continuum mechanics / / Ahmed A. Shabana, Richard and Loan Hill Professor of Engineering, University of Illinois at Chicago, Chicago, Illinois, USA
Computational continuum mechanics / / Ahmed A. Shabana, Richard and Loan Hill Professor of Engineering, University of Illinois at Chicago, Chicago, Illinois, USA
Autore Shabana Ahmed A. <1951->
Edizione [Third edition.]
Pubbl/distr/stampa Hoboken, New Jersey : , : Wiley, , 2018
Descrizione fisica 1 online resource (365 pages)
Disciplina 531
Soggetto topico Continuum mechanics
Engineering mathematics
ISBN 1-5231-2343-5
1-119-29323-5
1-119-29324-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910270880203321
Shabana Ahmed A. <1951->  
Hoboken, New Jersey : , : Wiley, , 2018
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Computational continuum mechanics / / Ahmed A. Shabana, Richard and Loan Hill Professor of Engineering, University of Illinois at Chicago, Chicago, Illinois, USA
Computational continuum mechanics / / Ahmed A. Shabana, Richard and Loan Hill Professor of Engineering, University of Illinois at Chicago, Chicago, Illinois, USA
Autore Shabana Ahmed A. <1951->
Edizione [Third edition.]
Pubbl/distr/stampa Hoboken, New Jersey : , : Wiley, , 2018
Descrizione fisica 1 online resource (365 pages)
Disciplina 531
Soggetto topico Continuum mechanics
Engineering mathematics
ISBN 1-5231-2343-5
1-119-29323-5
1-119-29324-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910821709803321
Shabana Ahmed A. <1951->  
Hoboken, New Jersey : , : Wiley, , 2018
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Computational dynamics [[electronic resource] /] / Ahmed A. Shabana
Computational dynamics [[electronic resource] /] / Ahmed A. Shabana
Autore Shabana Ahmed A. <1951->
Edizione [3rd ed.]
Pubbl/distr/stampa Chichester, West Sussex ; ; Hoboken, : John Wiley & Sons, 2010
Descrizione fisica 1 online resource (544 p.)
Disciplina 531.11
620.104
Soggetto topico Dynamics
Mechanics
ISBN 1-282-37970-4
9786612379703
0-470-68685-5
0-470-68686-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Computational Dynamics; CONTENTS; PREFACE; 1 INTRODUCTION; 1.1 Computational Dynamics; 1.2 Motion and Constraints; 1.3 Degrees of Freedom; 1.4 Kinematic Analysis; 1.5 Force Analysis; 1.6 Dynamic Equations and Their Different Forms; 1.7 Forward and Inverse Dynamics; 1.8 Planar and Spatial Dynamics; 1.9 Computer and Numerical Methods; 1.10 Organization, Scope, and Notations of the Book; 2 LINEAR ALGEBRA; 2.1 Matrices; 2.2 Matrix Operations; 2.3 Vectors; 2.4 Three-Dimensional Vectors; 2.5 Solution of Algebraic Equations; 2.6 Triangular Factorization; *2.7 QR Decomposition
*2.8 Singular Value DecompositionProblems; 3 KINEMATICS; 3.1 Kinematics of Rigid Bodies; 3.2 Velocity Equations; 3.3 Acceleration Equations; 3.4 Kinematics of a Point Moving on a Rigid Body; 3.5 Constrained Kinematics; 3.6 Classical Kinematic Approach; 3.7 Computational Kinematic Approach; 3.8 Formulation of the Driving Constraints; 3.9 Formulation of the Joint Constraints; 3.10 Computational Methods in Kinematics; 3.11 Computer Implementation; 3.12 Kinematic Modeling and Analysis; 3.13 Concluding Remarks; Problems; 4 FORMS OF THE DYNAMIC EQUATIONS; 4.1 D'Alembert's Principle
4.2 D'Alembert's Principle and Newton-Euler Equations4.3 Constrained Dynamics; 4.4 Augmented Formulation; 4.5 Lagrange Multipliers; 4.6 Elimination of the Dependent Accelerations; 4.7 Embedding Technique; 4.8 Amalgamated Formulation; 4.9 Open-Chain Systems; 4.10 Closed-Chain Systems; 4.11 Concluding Remarks; Problems; 5 VIRTUAL WORK AND LAGRANGIAN DYNAMICS; 5.1 Virtual Displacements; 5.2 Kinematic Constraints and Coordinate Partitioning; 5.3 Virtual Work; 5.4 Examples of Force Elements; 5.5 Workless Constraints; 5.6 Principle of Virtual Work in Statics
5.7 Principle of Virtual Work in Dynamics5.8 Lagrange's Equation; 5.9 Gibbs-Appel Equation; *5.10 Hamiltonian Formulation; 5.11 Relationship between Virtual Work and Gaussian Elimination; Problems; 6 CONSTRAINED DYNAMICS; 6.1 Generalized Inertia; 6.2 Mass Matrix and Centrifugal Forces; 6.3 Equations of Motion; 6.4 System of Rigid Bodies; 6.5 Elimination of the Constraint Forces; 6.6 Lagrange Multipliers; 6.7 Constrained Dynamic Equations; 6.8 Joint Reaction Forces; 6.9 Elimination of Lagrange Multipliers; 6.10 State Space Representation; 6.11 Numerical Integration
6.12 Algorithm and Sparse Matrix Implementation6.13 Differential and Algebraic Equations; *6.14 Inverse Dynamics; *6.15 Static Analysis; Problems; 7 SPATIAL DYNAMICS; 7.1 General Displacement; 7.2 Finite Rotations; 7.3 Euler Angles; 7.4 Velocity and Acceleration; 7.5 Generalized Coordinates; 7.6 Generalized Inertia Forces; 7.7 Generalized Applied Forces; 7.8 Dynamic Equations of Motion; 7.9 Constrained Dynamics; 7.10 Formulation of the Joint Constraints; 7.11 Newton-Euler Equations; 7.12 D'Alembert's Principle; 7.13 Linear and Angular Momentum; 7.14 Recursive Methods; Problems
8 SPECIAL TOPICS IN DYNAMICS
Record Nr. UNINA-9910139958303321
Shabana Ahmed A. <1951->  
Chichester, West Sussex ; ; Hoboken, : John Wiley & Sons, 2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Computational dynamics [[electronic resource] /] / Ahmed A. Shabana
Computational dynamics [[electronic resource] /] / Ahmed A. Shabana
Autore Shabana Ahmed A. <1951->
Edizione [3rd ed.]
Pubbl/distr/stampa Chichester, West Sussex ; ; Hoboken, : John Wiley & Sons, 2010
Descrizione fisica 1 online resource (544 p.)
Disciplina 531.11
620.104
Soggetto topico Dynamics
Mechanics
ISBN 1-282-37970-4
9786612379703
0-470-68685-5
0-470-68686-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Computational Dynamics; CONTENTS; PREFACE; 1 INTRODUCTION; 1.1 Computational Dynamics; 1.2 Motion and Constraints; 1.3 Degrees of Freedom; 1.4 Kinematic Analysis; 1.5 Force Analysis; 1.6 Dynamic Equations and Their Different Forms; 1.7 Forward and Inverse Dynamics; 1.8 Planar and Spatial Dynamics; 1.9 Computer and Numerical Methods; 1.10 Organization, Scope, and Notations of the Book; 2 LINEAR ALGEBRA; 2.1 Matrices; 2.2 Matrix Operations; 2.3 Vectors; 2.4 Three-Dimensional Vectors; 2.5 Solution of Algebraic Equations; 2.6 Triangular Factorization; *2.7 QR Decomposition
*2.8 Singular Value DecompositionProblems; 3 KINEMATICS; 3.1 Kinematics of Rigid Bodies; 3.2 Velocity Equations; 3.3 Acceleration Equations; 3.4 Kinematics of a Point Moving on a Rigid Body; 3.5 Constrained Kinematics; 3.6 Classical Kinematic Approach; 3.7 Computational Kinematic Approach; 3.8 Formulation of the Driving Constraints; 3.9 Formulation of the Joint Constraints; 3.10 Computational Methods in Kinematics; 3.11 Computer Implementation; 3.12 Kinematic Modeling and Analysis; 3.13 Concluding Remarks; Problems; 4 FORMS OF THE DYNAMIC EQUATIONS; 4.1 D'Alembert's Principle
4.2 D'Alembert's Principle and Newton-Euler Equations4.3 Constrained Dynamics; 4.4 Augmented Formulation; 4.5 Lagrange Multipliers; 4.6 Elimination of the Dependent Accelerations; 4.7 Embedding Technique; 4.8 Amalgamated Formulation; 4.9 Open-Chain Systems; 4.10 Closed-Chain Systems; 4.11 Concluding Remarks; Problems; 5 VIRTUAL WORK AND LAGRANGIAN DYNAMICS; 5.1 Virtual Displacements; 5.2 Kinematic Constraints and Coordinate Partitioning; 5.3 Virtual Work; 5.4 Examples of Force Elements; 5.5 Workless Constraints; 5.6 Principle of Virtual Work in Statics
5.7 Principle of Virtual Work in Dynamics5.8 Lagrange's Equation; 5.9 Gibbs-Appel Equation; *5.10 Hamiltonian Formulation; 5.11 Relationship between Virtual Work and Gaussian Elimination; Problems; 6 CONSTRAINED DYNAMICS; 6.1 Generalized Inertia; 6.2 Mass Matrix and Centrifugal Forces; 6.3 Equations of Motion; 6.4 System of Rigid Bodies; 6.5 Elimination of the Constraint Forces; 6.6 Lagrange Multipliers; 6.7 Constrained Dynamic Equations; 6.8 Joint Reaction Forces; 6.9 Elimination of Lagrange Multipliers; 6.10 State Space Representation; 6.11 Numerical Integration
6.12 Algorithm and Sparse Matrix Implementation6.13 Differential and Algebraic Equations; *6.14 Inverse Dynamics; *6.15 Static Analysis; Problems; 7 SPATIAL DYNAMICS; 7.1 General Displacement; 7.2 Finite Rotations; 7.3 Euler Angles; 7.4 Velocity and Acceleration; 7.5 Generalized Coordinates; 7.6 Generalized Inertia Forces; 7.7 Generalized Applied Forces; 7.8 Dynamic Equations of Motion; 7.9 Constrained Dynamics; 7.10 Formulation of the Joint Constraints; 7.11 Newton-Euler Equations; 7.12 D'Alembert's Principle; 7.13 Linear and Angular Momentum; 7.14 Recursive Methods; Problems
8 SPECIAL TOPICS IN DYNAMICS
Record Nr. UNINA-9910831054103321
Shabana Ahmed A. <1951->  
Chichester, West Sussex ; ; Hoboken, : John Wiley & Sons, 2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Computational dynamics [[electronic resource] /] / Ahmed A. Shabana
Computational dynamics [[electronic resource] /] / Ahmed A. Shabana
Autore Shabana Ahmed A. <1951->
Edizione [3rd ed.]
Pubbl/distr/stampa Chichester, West Sussex ; ; Hoboken, : John Wiley & Sons, 2010
Descrizione fisica 1 online resource (544 p.)
Disciplina 531.11
620.104
Soggetto topico Dynamics
Mechanics
ISBN 1-282-37970-4
9786612379703
0-470-68685-5
0-470-68686-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Computational Dynamics; CONTENTS; PREFACE; 1 INTRODUCTION; 1.1 Computational Dynamics; 1.2 Motion and Constraints; 1.3 Degrees of Freedom; 1.4 Kinematic Analysis; 1.5 Force Analysis; 1.6 Dynamic Equations and Their Different Forms; 1.7 Forward and Inverse Dynamics; 1.8 Planar and Spatial Dynamics; 1.9 Computer and Numerical Methods; 1.10 Organization, Scope, and Notations of the Book; 2 LINEAR ALGEBRA; 2.1 Matrices; 2.2 Matrix Operations; 2.3 Vectors; 2.4 Three-Dimensional Vectors; 2.5 Solution of Algebraic Equations; 2.6 Triangular Factorization; *2.7 QR Decomposition
*2.8 Singular Value DecompositionProblems; 3 KINEMATICS; 3.1 Kinematics of Rigid Bodies; 3.2 Velocity Equations; 3.3 Acceleration Equations; 3.4 Kinematics of a Point Moving on a Rigid Body; 3.5 Constrained Kinematics; 3.6 Classical Kinematic Approach; 3.7 Computational Kinematic Approach; 3.8 Formulation of the Driving Constraints; 3.9 Formulation of the Joint Constraints; 3.10 Computational Methods in Kinematics; 3.11 Computer Implementation; 3.12 Kinematic Modeling and Analysis; 3.13 Concluding Remarks; Problems; 4 FORMS OF THE DYNAMIC EQUATIONS; 4.1 D'Alembert's Principle
4.2 D'Alembert's Principle and Newton-Euler Equations4.3 Constrained Dynamics; 4.4 Augmented Formulation; 4.5 Lagrange Multipliers; 4.6 Elimination of the Dependent Accelerations; 4.7 Embedding Technique; 4.8 Amalgamated Formulation; 4.9 Open-Chain Systems; 4.10 Closed-Chain Systems; 4.11 Concluding Remarks; Problems; 5 VIRTUAL WORK AND LAGRANGIAN DYNAMICS; 5.1 Virtual Displacements; 5.2 Kinematic Constraints and Coordinate Partitioning; 5.3 Virtual Work; 5.4 Examples of Force Elements; 5.5 Workless Constraints; 5.6 Principle of Virtual Work in Statics
5.7 Principle of Virtual Work in Dynamics5.8 Lagrange's Equation; 5.9 Gibbs-Appel Equation; *5.10 Hamiltonian Formulation; 5.11 Relationship between Virtual Work and Gaussian Elimination; Problems; 6 CONSTRAINED DYNAMICS; 6.1 Generalized Inertia; 6.2 Mass Matrix and Centrifugal Forces; 6.3 Equations of Motion; 6.4 System of Rigid Bodies; 6.5 Elimination of the Constraint Forces; 6.6 Lagrange Multipliers; 6.7 Constrained Dynamic Equations; 6.8 Joint Reaction Forces; 6.9 Elimination of Lagrange Multipliers; 6.10 State Space Representation; 6.11 Numerical Integration
6.12 Algorithm and Sparse Matrix Implementation6.13 Differential and Algebraic Equations; *6.14 Inverse Dynamics; *6.15 Static Analysis; Problems; 7 SPATIAL DYNAMICS; 7.1 General Displacement; 7.2 Finite Rotations; 7.3 Euler Angles; 7.4 Velocity and Acceleration; 7.5 Generalized Coordinates; 7.6 Generalized Inertia Forces; 7.7 Generalized Applied Forces; 7.8 Dynamic Equations of Motion; 7.9 Constrained Dynamics; 7.10 Formulation of the Joint Constraints; 7.11 Newton-Euler Equations; 7.12 D'Alembert's Principle; 7.13 Linear and Angular Momentum; 7.14 Recursive Methods; Problems
8 SPECIAL TOPICS IN DYNAMICS
Record Nr. UNINA-9910841594803321
Shabana Ahmed A. <1951->  
Chichester, West Sussex ; ; Hoboken, : John Wiley & Sons, 2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Computational dynamics [[electronic resource] /] / Ahmed A. Shabana
Computational dynamics [[electronic resource] /] / Ahmed A. Shabana
Autore Shabana Ahmed A. <1951->
Edizione [2nd ed.]
Pubbl/distr/stampa New York, : Wiley, c2001
Descrizione fisica 1 online resource (521 p.)
Disciplina 531/.11
Soggetto topico Dynamics
Soggetto genere / forma Electronic books.
ISBN 1-280-34124-6
9786610341245
0-471-05326-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto COMPUTATIONAL DYNAMICS; CONTENTS; 1 INTRODUCTION; 1.1 Computational Dynamics; 1.2 Motion and Constraints; 1.3 Degrees of Freedom; 1.4 Kinematic Analysis; 1.5 Force Analysis; 1.6 Dynamic Equations and Their Different Forms; 1.7 Forward and Inverse Dynamics; 1.8 Planar and Spatial Dynamics; 1.9 Computer and Numerical Methods; 1.10 Organization, Scope, and Notations of the Book; 2 LINEAR ALGEBRA; 2.1 Matrices; 2.2 Matrix Operations; 2.3 Vectors; 2.4 Three-Dimensional Vectors; 2.5 Solution of Algebraic Equations; 2.6 Triangular Factorization; 2.7 QR Decomposition; 2.8 Singular Value Decomposition
Problems3 KINEMATICS; 3.1 Mechanical Joints; 3.2 Coordinate Transformation; 3.3 Position, Velocity, and Acceleration Equations; 3.4 Kinematics of a Point Moving on a Rigid Body; 3.5 Constrained Kinematics; 3.6 Formulation of the Joint Constraints; 3.7 Computational Methods in Kinematics; 3.8 Computer Implementation; 3.9 Kinematic Modeling and Analysis; 3.10 Concluding Remarks; Problems; 4 FORMS OF THE DYNAMIC EQUATIONS; 4.1 D'Alembert's Principle; 4.2 Constrained Dynamics; 4.3 Augmented Formulation; 4.4 Elimination of the Dependent Accelerations; 4.5 Embedding Technique
4.6 Amalgamated Formulation4.7 Open and Closed Chains; 4.8 Concluding Remarks; Problems; 5 VIRTUAL WORK AND LAGRANGIAN DYNAMICS; 5.1 Virtual Displacements; 5.2 Kinematic Constraints and Coordinate Partitioning; 5.3 Virtual Work; 5.4 Examples of Force Elements; 5.5 Workless Constraints; 5.6 Principle of Virtual Work in Statics; 5.7 Principle of Virtual Work in Dynamics; 5.8 Lagrange's Equation; 5.9 Gibbs-Appel Equation; 5.10 Hamiltonian Formulation; 5.11 Relationship between Virtual Work and Gaussian Elimination; Problems; 6 CONSTRAINED DYNAMICS; 6.1 Generalized Inertia
6.2 Mass Matrix and Centrifugal Forces6.3 Equations of Motion; 6.4 System of Rigid Bodies; 6.5 Elimination of the Constraint Forces; 6.6 Lagrange Multipliers; 6.7 Constrained Dynamic Equations; 6.8 Joint Reaction Forces; 6.9 Elimination of Lagrange Multipliers; 6.10 State Space Representation; 6.11 Numerical Integration; 6.12 Differential and Algebraic Equations; 6.13 Inverse Dynamics; 6.14 Static Analysis; Problems; 7 SPATIAL DYNAMICS; 7.1 General Displacement; 7.2 Finite Rotations; 7.3 Euler Angles; 7.4 Velocity and Acceleration; 7.5 Generalized Coordinates; 7.6 Generalized Inertia Forces
7.7 Generalized Applied Forces7.8 Dynamic Equations of Motion; 7.9 Constrained Dynamics; 7.10 Formulation of the Joint Constraints; 7.11 Newton-Euler Equations; 7.12 Linear and Angular Momentum; 7.13 Recursive Methods; Problems; 8 OTHER TOPICS IN SPATIAL DYNAMICS; 8.1 Gyroscopes and Euler Angles; 8.2 Rodriguez Formula; 8.3 Euler Parameters; 8.4 Rodriguez Parameters; 8.5 Quaternions; 8.6 Rigid Body Contact; Problems; REFERENCES; INDEX
Record Nr. UNINA-9910454993703321
Shabana Ahmed A. <1951->  
New York, : Wiley, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Computational dynamics [[electronic resource] /] / Ahmed A. Shabana
Computational dynamics [[electronic resource] /] / Ahmed A. Shabana
Autore Shabana Ahmed A. <1951->
Edizione [2nd ed.]
Pubbl/distr/stampa New York, : Wiley, c2001
Descrizione fisica 1 online resource (521 p.)
Disciplina 531/.11
Soggetto topico Dynamics
ISBN 1-280-34124-6
9786610341245
0-471-05326-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto COMPUTATIONAL DYNAMICS; CONTENTS; 1 INTRODUCTION; 1.1 Computational Dynamics; 1.2 Motion and Constraints; 1.3 Degrees of Freedom; 1.4 Kinematic Analysis; 1.5 Force Analysis; 1.6 Dynamic Equations and Their Different Forms; 1.7 Forward and Inverse Dynamics; 1.8 Planar and Spatial Dynamics; 1.9 Computer and Numerical Methods; 1.10 Organization, Scope, and Notations of the Book; 2 LINEAR ALGEBRA; 2.1 Matrices; 2.2 Matrix Operations; 2.3 Vectors; 2.4 Three-Dimensional Vectors; 2.5 Solution of Algebraic Equations; 2.6 Triangular Factorization; 2.7 QR Decomposition; 2.8 Singular Value Decomposition
Problems3 KINEMATICS; 3.1 Mechanical Joints; 3.2 Coordinate Transformation; 3.3 Position, Velocity, and Acceleration Equations; 3.4 Kinematics of a Point Moving on a Rigid Body; 3.5 Constrained Kinematics; 3.6 Formulation of the Joint Constraints; 3.7 Computational Methods in Kinematics; 3.8 Computer Implementation; 3.9 Kinematic Modeling and Analysis; 3.10 Concluding Remarks; Problems; 4 FORMS OF THE DYNAMIC EQUATIONS; 4.1 D'Alembert's Principle; 4.2 Constrained Dynamics; 4.3 Augmented Formulation; 4.4 Elimination of the Dependent Accelerations; 4.5 Embedding Technique
4.6 Amalgamated Formulation4.7 Open and Closed Chains; 4.8 Concluding Remarks; Problems; 5 VIRTUAL WORK AND LAGRANGIAN DYNAMICS; 5.1 Virtual Displacements; 5.2 Kinematic Constraints and Coordinate Partitioning; 5.3 Virtual Work; 5.4 Examples of Force Elements; 5.5 Workless Constraints; 5.6 Principle of Virtual Work in Statics; 5.7 Principle of Virtual Work in Dynamics; 5.8 Lagrange's Equation; 5.9 Gibbs-Appel Equation; 5.10 Hamiltonian Formulation; 5.11 Relationship between Virtual Work and Gaussian Elimination; Problems; 6 CONSTRAINED DYNAMICS; 6.1 Generalized Inertia
6.2 Mass Matrix and Centrifugal Forces6.3 Equations of Motion; 6.4 System of Rigid Bodies; 6.5 Elimination of the Constraint Forces; 6.6 Lagrange Multipliers; 6.7 Constrained Dynamic Equations; 6.8 Joint Reaction Forces; 6.9 Elimination of Lagrange Multipliers; 6.10 State Space Representation; 6.11 Numerical Integration; 6.12 Differential and Algebraic Equations; 6.13 Inverse Dynamics; 6.14 Static Analysis; Problems; 7 SPATIAL DYNAMICS; 7.1 General Displacement; 7.2 Finite Rotations; 7.3 Euler Angles; 7.4 Velocity and Acceleration; 7.5 Generalized Coordinates; 7.6 Generalized Inertia Forces
7.7 Generalized Applied Forces7.8 Dynamic Equations of Motion; 7.9 Constrained Dynamics; 7.10 Formulation of the Joint Constraints; 7.11 Newton-Euler Equations; 7.12 Linear and Angular Momentum; 7.13 Recursive Methods; Problems; 8 OTHER TOPICS IN SPATIAL DYNAMICS; 8.1 Gyroscopes and Euler Angles; 8.2 Rodriguez Formula; 8.3 Euler Parameters; 8.4 Rodriguez Parameters; 8.5 Quaternions; 8.6 Rigid Body Contact; Problems; REFERENCES; INDEX
Record Nr. UNINA-9910778858603321
Shabana Ahmed A. <1951->  
New York, : Wiley, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Computational dynamics [[electronic resource] /] / Ahmed A. Shabana
Computational dynamics [[electronic resource] /] / Ahmed A. Shabana
Autore Shabana Ahmed A. <1951->
Edizione [2nd ed.]
Pubbl/distr/stampa New York, : Wiley, c2001
Descrizione fisica 1 online resource (521 p.)
Disciplina 531/.11
Soggetto topico Dynamics
ISBN 1-280-34124-6
9786610341245
0-471-05326-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto COMPUTATIONAL DYNAMICS; CONTENTS; 1 INTRODUCTION; 1.1 Computational Dynamics; 1.2 Motion and Constraints; 1.3 Degrees of Freedom; 1.4 Kinematic Analysis; 1.5 Force Analysis; 1.6 Dynamic Equations and Their Different Forms; 1.7 Forward and Inverse Dynamics; 1.8 Planar and Spatial Dynamics; 1.9 Computer and Numerical Methods; 1.10 Organization, Scope, and Notations of the Book; 2 LINEAR ALGEBRA; 2.1 Matrices; 2.2 Matrix Operations; 2.3 Vectors; 2.4 Three-Dimensional Vectors; 2.5 Solution of Algebraic Equations; 2.6 Triangular Factorization; 2.7 QR Decomposition; 2.8 Singular Value Decomposition
Problems3 KINEMATICS; 3.1 Mechanical Joints; 3.2 Coordinate Transformation; 3.3 Position, Velocity, and Acceleration Equations; 3.4 Kinematics of a Point Moving on a Rigid Body; 3.5 Constrained Kinematics; 3.6 Formulation of the Joint Constraints; 3.7 Computational Methods in Kinematics; 3.8 Computer Implementation; 3.9 Kinematic Modeling and Analysis; 3.10 Concluding Remarks; Problems; 4 FORMS OF THE DYNAMIC EQUATIONS; 4.1 D'Alembert's Principle; 4.2 Constrained Dynamics; 4.3 Augmented Formulation; 4.4 Elimination of the Dependent Accelerations; 4.5 Embedding Technique
4.6 Amalgamated Formulation4.7 Open and Closed Chains; 4.8 Concluding Remarks; Problems; 5 VIRTUAL WORK AND LAGRANGIAN DYNAMICS; 5.1 Virtual Displacements; 5.2 Kinematic Constraints and Coordinate Partitioning; 5.3 Virtual Work; 5.4 Examples of Force Elements; 5.5 Workless Constraints; 5.6 Principle of Virtual Work in Statics; 5.7 Principle of Virtual Work in Dynamics; 5.8 Lagrange's Equation; 5.9 Gibbs-Appel Equation; 5.10 Hamiltonian Formulation; 5.11 Relationship between Virtual Work and Gaussian Elimination; Problems; 6 CONSTRAINED DYNAMICS; 6.1 Generalized Inertia
6.2 Mass Matrix and Centrifugal Forces6.3 Equations of Motion; 6.4 System of Rigid Bodies; 6.5 Elimination of the Constraint Forces; 6.6 Lagrange Multipliers; 6.7 Constrained Dynamic Equations; 6.8 Joint Reaction Forces; 6.9 Elimination of Lagrange Multipliers; 6.10 State Space Representation; 6.11 Numerical Integration; 6.12 Differential and Algebraic Equations; 6.13 Inverse Dynamics; 6.14 Static Analysis; Problems; 7 SPATIAL DYNAMICS; 7.1 General Displacement; 7.2 Finite Rotations; 7.3 Euler Angles; 7.4 Velocity and Acceleration; 7.5 Generalized Coordinates; 7.6 Generalized Inertia Forces
7.7 Generalized Applied Forces7.8 Dynamic Equations of Motion; 7.9 Constrained Dynamics; 7.10 Formulation of the Joint Constraints; 7.11 Newton-Euler Equations; 7.12 Linear and Angular Momentum; 7.13 Recursive Methods; Problems; 8 OTHER TOPICS IN SPATIAL DYNAMICS; 8.1 Gyroscopes and Euler Angles; 8.2 Rodriguez Formula; 8.3 Euler Parameters; 8.4 Rodriguez Parameters; 8.5 Quaternions; 8.6 Rigid Body Contact; Problems; REFERENCES; INDEX
Record Nr. UNINA-9910813071003321
Shabana Ahmed A. <1951->  
New York, : Wiley, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Mathematical foundation of railroad vehicle systems : geometry and mechanics / / Ahmed A. Shabana
Mathematical foundation of railroad vehicle systems : geometry and mechanics / / Ahmed A. Shabana
Autore Shabana Ahmed A. <1951->
Pubbl/distr/stampa Hoboken, New Jersey : , : Wiley, , [2020]
Descrizione fisica 1 online resource (387 pages)
Disciplina 625.10015118
Soggetto topico Railroad engineering - Mathematics
Soggetto genere / forma Electronic books.
ISBN 1-119-68908-2
1-119-68906-6
1-119-68909-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910555063303321
Shabana Ahmed A. <1951->  
Hoboken, New Jersey : , : Wiley, , [2020]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Mathematical foundation of railroad vehicle systems : geometry and mechanics / / Ahmed A. Shabana
Mathematical foundation of railroad vehicle systems : geometry and mechanics / / Ahmed A. Shabana
Autore Shabana Ahmed A. <1951->
Pubbl/distr/stampa Hoboken, New Jersey : , : Wiley, , [2020]
Descrizione fisica 1 online resource (387 pages)
Disciplina 625.10015118
Soggetto topico Railroad engineering - Mathematics
ISBN 1-119-68908-2
1-119-68906-6
1-119-68909-0
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910830801303321
Shabana Ahmed A. <1951->  
Hoboken, New Jersey : , : Wiley, , [2020]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui