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Vibration in continuous media [[electronic resource] /] / Jean-Louis Guyader ; series editors, Société Française d'Acoustique
| Vibration in continuous media [[electronic resource] /] / Jean-Louis Guyader ; series editors, Société Française d'Acoustique |
| Autore | Guyader Jean-Louis |
| Pubbl/distr/stampa | Newport Beach, Calif., : ISTE, 2006 |
| Descrizione fisica | 1 online resource (443 p.) |
| Disciplina |
531.32
531/.32 620.3 |
| Collana | ISTE |
| Soggetto topico |
Vibration
Continuum mechanics |
| ISBN |
0-470-61245-2
0-470-39458-7 1-280-60346-1 9786610603466 1-84704-477-8 1-84704-577-4 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Vibration in Continuous Media; Title Page; Copyright Page; Table of Contents; Preface; Chapter 1. Vibrations of Continuous Elastic Solid Media; 1.1. Objective of the chapter; 1.2. Equations of motion and boundary conditions of continuous media; 1.2.1. Description of the movement of continuous media; 1.2.2. Law of conservation; 1.2.3. Conservation of mass; 1.2.4. Conservation of momentum; 1.2.5. Conservation of energy; 1.2.6. Boundary conditions; 1.3. Study of the vibrations: small movements around a position of static, stable equilibrium
1.3.1. Linearization around a configuration of reference1.3.2. Elastic solid continuous media; 1.3.3. Summary of the problem of small movements of an elastic continuous medium in adiabatic mode; 1.3.4. Position of static equilibrium of an elastic solid medium; 1.3.5. Vibrations of elastic solid media; 1.3.6. Boundary conditions; 1.3.7. Vibrations equations; 1.3.8. Notes on the initial conditions of the problem of vibrations; 1.3.9. Formulation in displacement; 1.3.10. Vibration of viscoelastic solid media; 1.4. Conclusion Chapter 2. Variational Formulation for Vibrations of Elastic Continuous Media2.1. Objective of the chapter; 2.2. Concept of the functional, bases of the variational method; 2.2.1. The problem; 2.2.2. Fundamental lemma; 2.2.3. Basis of variational formulation; 2.2.4. Directional derivative; 2.2.5. Extremum of a functional calculus; 2.3. Reissner's functional; 2.3.1. Basic functional; 2.3.2. Some particular cases of boundary conditions; 2.3.3. Case of boundary conditions effects of rigidity and mass; 2.4. Hamilton's functional; 2.4.1. The basic functional 2.4.2. Some particular cases of boundary conditions2.5. Approximate solutions; 2.6. Euler equations associated to the extremum of a functional; 2.6.1. Introduction and first example; 2.6.2. Second example: vibrations of plates; 2.6.3. Some results; 2.7. Conclusion; Chapter 3. Equation of Motion for Beams; 3.1. Objective of the chapter; 3.2. Hypotheses of condensation of straight beams; 3.3. Equations of longitudinal vibrations of straight beams; 3.3.1. Basic equations with mixed variables; 3.3.2. Equations with displacement variables 3.3.3. Equations with displacement variables obtained by Hamilton's functional3.4. Equations of vibrations of torsion of straight beams; 3.4.1. Basic equations with mixed variables; 3.4.2. Equation with displacements; 3.5. Equations of bending vibrations of straight beams; 3.5.1. Basic equations with mixed variables: Timoshenko's beam; 3.5.2. Equations with displacement variables: Timoshenko's beam; 3.5.3. Basic equations with mixed variables: Euler-Bernoulli beam; 3.5.4. Equations of the Euler-Bernoulli beam with displacement variable 3.6. Complex vibratory movements: sandwich beam with a flexible inside |
| Record Nr. | UNINA-9910143314403321 |
Guyader Jean-Louis
|
||
| Newport Beach, Calif., : ISTE, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Vibration in continuous media [[electronic resource] /] / Jean-Louis Guyader ; series editors, Société Française d'Acoustique
| Vibration in continuous media [[electronic resource] /] / Jean-Louis Guyader ; series editors, Société Française d'Acoustique |
| Autore | Guyader Jean-Louis |
| Pubbl/distr/stampa | Newport Beach, Calif., : ISTE, 2006 |
| Descrizione fisica | 1 online resource (443 p.) |
| Disciplina |
531.32
531/.32 620.3 |
| Collana | ISTE |
| Soggetto topico |
Vibration
Continuum mechanics |
| ISBN |
0-470-61245-2
0-470-39458-7 1-280-60346-1 9786610603466 1-84704-477-8 1-84704-577-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Vibration in Continuous Media; Title Page; Copyright Page; Table of Contents; Preface; Chapter 1. Vibrations of Continuous Elastic Solid Media; 1.1. Objective of the chapter; 1.2. Equations of motion and boundary conditions of continuous media; 1.2.1. Description of the movement of continuous media; 1.2.2. Law of conservation; 1.2.3. Conservation of mass; 1.2.4. Conservation of momentum; 1.2.5. Conservation of energy; 1.2.6. Boundary conditions; 1.3. Study of the vibrations: small movements around a position of static, stable equilibrium
1.3.1. Linearization around a configuration of reference1.3.2. Elastic solid continuous media; 1.3.3. Summary of the problem of small movements of an elastic continuous medium in adiabatic mode; 1.3.4. Position of static equilibrium of an elastic solid medium; 1.3.5. Vibrations of elastic solid media; 1.3.6. Boundary conditions; 1.3.7. Vibrations equations; 1.3.8. Notes on the initial conditions of the problem of vibrations; 1.3.9. Formulation in displacement; 1.3.10. Vibration of viscoelastic solid media; 1.4. Conclusion Chapter 2. Variational Formulation for Vibrations of Elastic Continuous Media2.1. Objective of the chapter; 2.2. Concept of the functional, bases of the variational method; 2.2.1. The problem; 2.2.2. Fundamental lemma; 2.2.3. Basis of variational formulation; 2.2.4. Directional derivative; 2.2.5. Extremum of a functional calculus; 2.3. Reissner's functional; 2.3.1. Basic functional; 2.3.2. Some particular cases of boundary conditions; 2.3.3. Case of boundary conditions effects of rigidity and mass; 2.4. Hamilton's functional; 2.4.1. The basic functional 2.4.2. Some particular cases of boundary conditions2.5. Approximate solutions; 2.6. Euler equations associated to the extremum of a functional; 2.6.1. Introduction and first example; 2.6.2. Second example: vibrations of plates; 2.6.3. Some results; 2.7. Conclusion; Chapter 3. Equation of Motion for Beams; 3.1. Objective of the chapter; 3.2. Hypotheses of condensation of straight beams; 3.3. Equations of longitudinal vibrations of straight beams; 3.3.1. Basic equations with mixed variables; 3.3.2. Equations with displacement variables 3.3.3. Equations with displacement variables obtained by Hamilton's functional3.4. Equations of vibrations of torsion of straight beams; 3.4.1. Basic equations with mixed variables; 3.4.2. Equation with displacements; 3.5. Equations of bending vibrations of straight beams; 3.5.1. Basic equations with mixed variables: Timoshenko's beam; 3.5.2. Equations with displacement variables: Timoshenko's beam; 3.5.3. Basic equations with mixed variables: Euler-Bernoulli beam; 3.5.4. Equations of the Euler-Bernoulli beam with displacement variable 3.6. Complex vibratory movements: sandwich beam with a flexible inside |
| Record Nr. | UNISA-996216940803316 |
|
Guyader Jean-Louis
|
||
| Newport Beach, Calif., : ISTE, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. di Salerno | ||
| ||
Vibration in continuous media [[electronic resource] /] / Jean-Louis Guyader ; series editors, Société Française d'Acoustique
| Vibration in continuous media [[electronic resource] /] / Jean-Louis Guyader ; series editors, Société Française d'Acoustique |
| Autore | Guyader Jean-Louis |
| Pubbl/distr/stampa | Newport Beach, Calif., : ISTE, 2006 |
| Descrizione fisica | 1 online resource (443 p.) |
| Disciplina |
531.32
531/.32 620.3 |
| Collana | ISTE |
| Soggetto topico |
Vibration
Continuum mechanics |
| ISBN |
0-470-61245-2
0-470-39458-7 1-280-60346-1 9786610603466 1-84704-477-8 1-84704-577-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Vibration in Continuous Media; Title Page; Copyright Page; Table of Contents; Preface; Chapter 1. Vibrations of Continuous Elastic Solid Media; 1.1. Objective of the chapter; 1.2. Equations of motion and boundary conditions of continuous media; 1.2.1. Description of the movement of continuous media; 1.2.2. Law of conservation; 1.2.3. Conservation of mass; 1.2.4. Conservation of momentum; 1.2.5. Conservation of energy; 1.2.6. Boundary conditions; 1.3. Study of the vibrations: small movements around a position of static, stable equilibrium
1.3.1. Linearization around a configuration of reference1.3.2. Elastic solid continuous media; 1.3.3. Summary of the problem of small movements of an elastic continuous medium in adiabatic mode; 1.3.4. Position of static equilibrium of an elastic solid medium; 1.3.5. Vibrations of elastic solid media; 1.3.6. Boundary conditions; 1.3.7. Vibrations equations; 1.3.8. Notes on the initial conditions of the problem of vibrations; 1.3.9. Formulation in displacement; 1.3.10. Vibration of viscoelastic solid media; 1.4. Conclusion Chapter 2. Variational Formulation for Vibrations of Elastic Continuous Media2.1. Objective of the chapter; 2.2. Concept of the functional, bases of the variational method; 2.2.1. The problem; 2.2.2. Fundamental lemma; 2.2.3. Basis of variational formulation; 2.2.4. Directional derivative; 2.2.5. Extremum of a functional calculus; 2.3. Reissner's functional; 2.3.1. Basic functional; 2.3.2. Some particular cases of boundary conditions; 2.3.3. Case of boundary conditions effects of rigidity and mass; 2.4. Hamilton's functional; 2.4.1. The basic functional 2.4.2. Some particular cases of boundary conditions2.5. Approximate solutions; 2.6. Euler equations associated to the extremum of a functional; 2.6.1. Introduction and first example; 2.6.2. Second example: vibrations of plates; 2.6.3. Some results; 2.7. Conclusion; Chapter 3. Equation of Motion for Beams; 3.1. Objective of the chapter; 3.2. Hypotheses of condensation of straight beams; 3.3. Equations of longitudinal vibrations of straight beams; 3.3.1. Basic equations with mixed variables; 3.3.2. Equations with displacement variables 3.3.3. Equations with displacement variables obtained by Hamilton's functional3.4. Equations of vibrations of torsion of straight beams; 3.4.1. Basic equations with mixed variables; 3.4.2. Equation with displacements; 3.5. Equations of bending vibrations of straight beams; 3.5.1. Basic equations with mixed variables: Timoshenko's beam; 3.5.2. Equations with displacement variables: Timoshenko's beam; 3.5.3. Basic equations with mixed variables: Euler-Bernoulli beam; 3.5.4. Equations of the Euler-Bernoulli beam with displacement variable 3.6. Complex vibratory movements: sandwich beam with a flexible inside |
| Record Nr. | UNINA-9910829853003321 |
|
Guyader Jean-Louis
|
||
| Newport Beach, Calif., : ISTE, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Vibration in continuous media / / Jean-Louis Guyader ; series editors, Societe Francaise d'Acoustique
| Vibration in continuous media / / Jean-Louis Guyader ; series editors, Societe Francaise d'Acoustique |
| Autore | Guyader Jean-Louis |
| Pubbl/distr/stampa | Newport Beach, Calif., : ISTE, 2006 |
| Descrizione fisica | 1 online resource (443 p.) |
| Disciplina | 531/.32 |
| Collana | ISTE |
| Soggetto topico |
Vibration
Continuum mechanics |
| ISBN |
0-470-61245-2
0-470-39458-7 1-280-60346-1 9786610603466 1-84704-477-8 1-84704-577-4 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Vibration in Continuous Media; Title Page; Copyright Page; Table of Contents; Preface; Chapter 1. Vibrations of Continuous Elastic Solid Media; 1.1. Objective of the chapter; 1.2. Equations of motion and boundary conditions of continuous media; 1.2.1. Description of the movement of continuous media; 1.2.2. Law of conservation; 1.2.3. Conservation of mass; 1.2.4. Conservation of momentum; 1.2.5. Conservation of energy; 1.2.6. Boundary conditions; 1.3. Study of the vibrations: small movements around a position of static, stable equilibrium
1.3.1. Linearization around a configuration of reference1.3.2. Elastic solid continuous media; 1.3.3. Summary of the problem of small movements of an elastic continuous medium in adiabatic mode; 1.3.4. Position of static equilibrium of an elastic solid medium; 1.3.5. Vibrations of elastic solid media; 1.3.6. Boundary conditions; 1.3.7. Vibrations equations; 1.3.8. Notes on the initial conditions of the problem of vibrations; 1.3.9. Formulation in displacement; 1.3.10. Vibration of viscoelastic solid media; 1.4. Conclusion Chapter 2. Variational Formulation for Vibrations of Elastic Continuous Media2.1. Objective of the chapter; 2.2. Concept of the functional, bases of the variational method; 2.2.1. The problem; 2.2.2. Fundamental lemma; 2.2.3. Basis of variational formulation; 2.2.4. Directional derivative; 2.2.5. Extremum of a functional calculus; 2.3. Reissner's functional; 2.3.1. Basic functional; 2.3.2. Some particular cases of boundary conditions; 2.3.3. Case of boundary conditions effects of rigidity and mass; 2.4. Hamilton's functional; 2.4.1. The basic functional 2.4.2. Some particular cases of boundary conditions2.5. Approximate solutions; 2.6. Euler equations associated to the extremum of a functional; 2.6.1. Introduction and first example; 2.6.2. Second example: vibrations of plates; 2.6.3. Some results; 2.7. Conclusion; Chapter 3. Equation of Motion for Beams; 3.1. Objective of the chapter; 3.2. Hypotheses of condensation of straight beams; 3.3. Equations of longitudinal vibrations of straight beams; 3.3.1. Basic equations with mixed variables; 3.3.2. Equations with displacement variables 3.3.3. Equations with displacement variables obtained by Hamilton's functional3.4. Equations of vibrations of torsion of straight beams; 3.4.1. Basic equations with mixed variables; 3.4.2. Equation with displacements; 3.5. Equations of bending vibrations of straight beams; 3.5.1. Basic equations with mixed variables: Timoshenko's beam; 3.5.2. Equations with displacement variables: Timoshenko's beam; 3.5.3. Basic equations with mixed variables: Euler-Bernoulli beam; 3.5.4. Equations of the Euler-Bernoulli beam with displacement variable 3.6. Complex vibratory movements: sandwich beam with a flexible inside |
| Record Nr. | UNINA-9910876675203321 |
|
Guyader Jean-Louis
|
||
| Newport Beach, Calif., : ISTE, 2006 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||