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Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V / / Lamberto Cesari, Solomon Lefschetz, J. LaSalle
| Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V / / Lamberto Cesari, Solomon Lefschetz, J. LaSalle |
| Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
| Descrizione fisica | 1 online resource (300 pages) : illustrations |
| Disciplina | 531/.32 |
| Collana | Annals of Mathematics Studies |
| Soggetto topico | Oscillations |
| Soggetto non controllato |
Absolute value
Abstract algebra Affine plane Affine space Algebraic Method Analytic function Bifurcation theory Big O notation Canonical form Cartesian coordinate system Cauchy sequence Characteristic exponent Characteristic polynomial Clockwise Coefficient matrix Coefficient Complete theory Complex conjugate Complex number Complex plane Computation Connected space Continuous function Control function (econometrics) Convex set Corollary Critical frequency Curve Degeneracy (mathematics) Degrees of freedom (statistics) Determinant Differentiable function Differentiable manifold Differential equation Dimension Dimensional analysis Divisor (algebraic geometry) Eigenvalues and eigenvectors Elliptic function Endomorphism Equation Equations of motion Existence theorem Existential quantification Fixed point (mathematics) Floquet theory Homeomorphism Homogeneous function Homotopy Hyperplane Hypersurface Implicit function theorem Interval (mathematics) Limit cycle Limit point Line element Linear algebra Linear differential equation Linear map Linear space (geometry) Linearity Lipschitz continuity Lyapunov stability Manifold Matrix function Maxima and minima Morphism N-vector Non-associative algebra Nonlinear system Optimal control Orbital stability Parameter Parametrization Periodic function Piecewise Probability Quadratic differential Quadratic function Quadratic Real projective plane Real projective space Scientific notation Second derivative Semicircle Separatrix (mathematics) Sign (mathematics) Special case Submanifold Summation Theorem Theory Topological dynamics Topological space Transpose Two-dimensional space Uniform convergence Uniqueness theorem Vector space Zero of a function |
| ISBN | 1-4008-8264-8 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto | Frontmatter -- Preface -- Contents -- I. The Time Optimal Control Problem / La Salle, J. P. -- II. Continuous Dependence on a Parameter / Jarnik, J. / Kurzweil, J. -- III. Poincare's Perturbation Method and Topological Degree / Cronin, Jane -- IV. On the Behavior of the Solutions of Linear Periodic Differential Systems Near Resonance Points / Hale, Jack K. -- V. On the Stability of Periodic Solutions of Weakly Nonlinear Periodic and Autonomous Differential Systems / Hale, J. K. -- VI. Existence Theorems for Periodic Solutions of Nonlinear Lipschitzian Differential Systems and Fixed Point Theorems / Cesari, Lamberto -- VII. The Applications of a Fixed Point Theorem to a Variety of Non-Linear Stability Problems / Stokes, Arnold -- VIII. Quadratic Differential Equations and Non-Associative Algebras / Markus, Lawrence -- IX. Sur Une Propriété De L'Ensemble Des Thajectoires Bornées De Certains Systèmes Dynamiques / Reeb, Georges -- X. On Lagrange Stable Motions in the Neighborhood of Critical Points / Mendelson, Pinchas -- XI. The Local Theory of Piecewise Continuous Differential Equations / André, J. / Seibert, P. -- XII. Asymptotic Stability in 3-Space / Coleman, Courtney -- XIII. Existence and Uniqueness of the Periodic Solution of an Equation for Autonomous Oscillations / Figueiredo, Rui Pacheco de -- Appendix / Pinney, E. |
| Record Nr. | UNINA-9910154745003321 |
| Princeton, NJ : , : Princeton University Press, , [2016] | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
A first course in vibrations and waves
| A first course in vibrations and waves |
| Autore | Samiullah Mohammad |
| Edizione | [First edition.] |
| Pubbl/distr/stampa | Oxford : , : Oxford University Press, , 2015 |
| Descrizione fisica | 1 online resource : illustrations (black and white) |
| Disciplina | 531/.32 |
| Soggetto topico |
Vibration
Waves Acoustics & Sound Physics Physical Sciences & Mathematics |
| ISBN | 0-19-180411-8 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Record Nr. | UNINA-9910157848103321 |
Samiullah Mohammad
|
||
| Oxford : , : Oxford University Press, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mechanical and electromagnetic vibrations and waves / / Tamer Becherrawy
| Mechanical and electromagnetic vibrations and waves / / Tamer Becherrawy |
| Autore | Becherrawy Tamer |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Hoboken, N.J., : John Wiley & Sons, Inc., |
| Descrizione fisica | 1 online resource (414 p.) |
| Disciplina | 531/.32 |
| Collana | ISTE |
| Soggetto topico |
Electromagnetic fields - Mathematical models
Electromagnetic waves - Mathematical models Electrodynamics - Mathematical models Oscillations - Mathematical models Engineering mathematics |
| ISBN |
9781118586525
1118586522 9781118586563 1118586565 9781118586549 1118586549 9781299186934 1299186939 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Table of Contents; Preface; Chapter 1. Free Oscillations; 1.1. Oscillations and waves, period and frequency; 1.2. Simple harmonic vibrations: differential equation and linearity; 1.3. Complex representation and phasor representation; 1.4. Point mass subject to a force-Kx; 1.5. Angular oscillations; 1.6. Damped oscillations; 1.7. Dissipation of the energy of a damped oscillator; 1.8. Oscillating LCR circuits; 1.9. Small oscillations of a system with one degree of freedom; 1.10. Nonlinear oscillators; 1.11. Systems with two degrees of freedom
1.12. Generalization to systems with n degrees of freedom1.13. Normal variables for systems with n degrees of freedom*; 1.14. Summary; 1.15. Problem solving suggestions; 1.16. Conceptual questions; 1.17. Problems; Chapter 2. Superposition of Harmonic Oscillations, Fourier Analysis; 2.1. Superposition of two scalar and isochronous simple harmonic oscillations; 2.2. Superposition of two perpendicular and isochronous vector oscillations, polarization; 2.3. Superposition of two perpendicular and non-isochronous oscillations 2.4. Superposition of scalar non-synchronous harmonic oscillations, beats2.5. Fourier analysis of a periodic function; 2.6. Fourier analysis of a non-periodic function; 2.7. Fourier analysis of a signal, uncertainty relation; 2.8. Dirac delta-function; 2.9. Summary; 2.10. Problem solving suggestions; 2.11. Conceptual questions; 2.12. Problems; Chapter 3. Forced Oscillations; 3.1. Transient regime and steady regime; 3.2. Case of a simple harmonic excitation force; 3.3. Resonance; 3.4. Impedance and energy of a forced oscillator in the steady regime; 3.5. Complex impedance 3.6. Sustained electromagnetic oscillations3.7. Excitation from a state of equilibrium*; 3.8. Response to an arbitrary force, nonlinear systems*; 3.9. Excitation of a system of coupled oscillators*; 3.10. Generalization of the concepts of external force and impedance*; 3.11. Some applications; 3.12. Summary; 3.13. Problem solving suggestions; 3.14. Conceptual questions; 3.15. Problems; Chapter 4. Propagation in Infinite Media; 4.1. Propagation of one-dimensional waves; 4.2. Propagation of two- and three-dimensional waves; 4.3. Propagation of a vector wave 4.4. Polarization of a transverse vector wave4.5. Monochromatic wave, wave vector and wavelength; 4.6. Dispersion; 4.7. Group velocity; 4.8. Fourier analysis for waves*; 4.9. Modulation*; 4.10. Energy of waves; 4.11. Other unattenuated wave equations, conserved quantities*; 4.12. Impedance of a medium*; 4.13. Attenuated waves; 4.14. Sources and observers in motion, the Doppler effect and shock waves; 4.15. Summary; 4.16. Problem solving suggestions; 4.17. Conceptual questions; 4.18. Problems; Chapter 5. Mechanical Waves; 5.1. Transverse waves on a taut string 5.2. Strain and stress in elastic solids |
| Record Nr. | UNINA-9910876708603321 |
|
Becherrawy Tamer
|
||
| Hoboken, N.J., : John Wiley & Sons, Inc., | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mechanical and electromagnetic vibrations and waves [[electronic resource] /] / Tamer Bécherrawy
| Mechanical and electromagnetic vibrations and waves [[electronic resource] /] / Tamer Bécherrawy |
| Autore | Bécherrawy Tamer |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Hoboken, N.J., : John Wiley & Sons, Inc., |
| Descrizione fisica | 1 online resource (414 p.) |
| Disciplina |
531.32
531/.32 620.11248 |
| Collana | ISTE |
| Soggetto topico |
Electromagnetic fields - Mathematical models
Electromagnetic waves - Mathematical models Electrodynamics - Mathematical models Oscillations - Mathematical models Engineering mathematics |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-118-58652-2
1-118-58656-5 1-118-58654-9 1-299-18693-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Table of Contents; Preface; Chapter 1. Free Oscillations; 1.1. Oscillations and waves, period and frequency; 1.2. Simple harmonic vibrations: differential equation and linearity; 1.3. Complex representation and phasor representation; 1.4. Point mass subject to a force-Kx; 1.5. Angular oscillations; 1.6. Damped oscillations; 1.7. Dissipation of the energy of a damped oscillator; 1.8. Oscillating LCR circuits; 1.9. Small oscillations of a system with one degree of freedom; 1.10. Nonlinear oscillators; 1.11. Systems with two degrees of freedom
1.12. Generalization to systems with n degrees of freedom1.13. Normal variables for systems with n degrees of freedom*; 1.14. Summary; 1.15. Problem solving suggestions; 1.16. Conceptual questions; 1.17. Problems; Chapter 2. Superposition of Harmonic Oscillations, Fourier Analysis; 2.1. Superposition of two scalar and isochronous simple harmonic oscillations; 2.2. Superposition of two perpendicular and isochronous vector oscillations, polarization; 2.3. Superposition of two perpendicular and non-isochronous oscillations 2.4. Superposition of scalar non-synchronous harmonic oscillations, beats2.5. Fourier analysis of a periodic function; 2.6. Fourier analysis of a non-periodic function; 2.7. Fourier analysis of a signal, uncertainty relation; 2.8. Dirac delta-function; 2.9. Summary; 2.10. Problem solving suggestions; 2.11. Conceptual questions; 2.12. Problems; Chapter 3. Forced Oscillations; 3.1. Transient regime and steady regime; 3.2. Case of a simple harmonic excitation force; 3.3. Resonance; 3.4. Impedance and energy of a forced oscillator in the steady regime; 3.5. Complex impedance 3.6. Sustained electromagnetic oscillations3.7. Excitation from a state of equilibrium*; 3.8. Response to an arbitrary force, nonlinear systems*; 3.9. Excitation of a system of coupled oscillators*; 3.10. Generalization of the concepts of external force and impedance*; 3.11. Some applications; 3.12. Summary; 3.13. Problem solving suggestions; 3.14. Conceptual questions; 3.15. Problems; Chapter 4. Propagation in Infinite Media; 4.1. Propagation of one-dimensional waves; 4.2. Propagation of two- and three-dimensional waves; 4.3. Propagation of a vector wave 4.4. Polarization of a transverse vector wave4.5. Monochromatic wave, wave vector and wavelength; 4.6. Dispersion; 4.7. Group velocity; 4.8. Fourier analysis for waves*; 4.9. Modulation*; 4.10. Energy of waves; 4.11. Other unattenuated wave equations, conserved quantities*; 4.12. Impedance of a medium*; 4.13. Attenuated waves; 4.14. Sources and observers in motion, the Doppler effect and shock waves; 4.15. Summary; 4.16. Problem solving suggestions; 4.17. Conceptual questions; 4.18. Problems; Chapter 5. Mechanical Waves; 5.1. Transverse waves on a taut string 5.2. Strain and stress in elastic solids |
| Record Nr. | UNINA-9910138857303321 |
|
Bécherrawy Tamer
|
||
| Hoboken, N.J., : John Wiley & Sons, Inc., | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mechanical and electromagnetic vibrations and waves [[electronic resource] /] / Tamer Bécherrawy
| Mechanical and electromagnetic vibrations and waves [[electronic resource] /] / Tamer Bécherrawy |
| Autore | Bécherrawy Tamer |
| Edizione | [1st edition] |
| Pubbl/distr/stampa | Hoboken, N.J., : John Wiley & Sons, Inc., |
| Descrizione fisica | 1 online resource (414 p.) |
| Disciplina |
531.32
531/.32 620.11248 |
| Collana | ISTE |
| Soggetto topico |
Electromagnetic fields - Mathematical models
Electromagnetic waves - Mathematical models Electrodynamics - Mathematical models Oscillations - Mathematical models Engineering mathematics |
| ISBN |
1-118-58652-2
1-118-58656-5 1-118-58654-9 1-299-18693-9 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; Title Page; Copyright Page; Table of Contents; Preface; Chapter 1. Free Oscillations; 1.1. Oscillations and waves, period and frequency; 1.2. Simple harmonic vibrations: differential equation and linearity; 1.3. Complex representation and phasor representation; 1.4. Point mass subject to a force-Kx; 1.5. Angular oscillations; 1.6. Damped oscillations; 1.7. Dissipation of the energy of a damped oscillator; 1.8. Oscillating LCR circuits; 1.9. Small oscillations of a system with one degree of freedom; 1.10. Nonlinear oscillators; 1.11. Systems with two degrees of freedom
1.12. Generalization to systems with n degrees of freedom1.13. Normal variables for systems with n degrees of freedom*; 1.14. Summary; 1.15. Problem solving suggestions; 1.16. Conceptual questions; 1.17. Problems; Chapter 2. Superposition of Harmonic Oscillations, Fourier Analysis; 2.1. Superposition of two scalar and isochronous simple harmonic oscillations; 2.2. Superposition of two perpendicular and isochronous vector oscillations, polarization; 2.3. Superposition of two perpendicular and non-isochronous oscillations 2.4. Superposition of scalar non-synchronous harmonic oscillations, beats2.5. Fourier analysis of a periodic function; 2.6. Fourier analysis of a non-periodic function; 2.7. Fourier analysis of a signal, uncertainty relation; 2.8. Dirac delta-function; 2.9. Summary; 2.10. Problem solving suggestions; 2.11. Conceptual questions; 2.12. Problems; Chapter 3. Forced Oscillations; 3.1. Transient regime and steady regime; 3.2. Case of a simple harmonic excitation force; 3.3. Resonance; 3.4. Impedance and energy of a forced oscillator in the steady regime; 3.5. Complex impedance 3.6. Sustained electromagnetic oscillations3.7. Excitation from a state of equilibrium*; 3.8. Response to an arbitrary force, nonlinear systems*; 3.9. Excitation of a system of coupled oscillators*; 3.10. Generalization of the concepts of external force and impedance*; 3.11. Some applications; 3.12. Summary; 3.13. Problem solving suggestions; 3.14. Conceptual questions; 3.15. Problems; Chapter 4. Propagation in Infinite Media; 4.1. Propagation of one-dimensional waves; 4.2. Propagation of two- and three-dimensional waves; 4.3. Propagation of a vector wave 4.4. Polarization of a transverse vector wave4.5. Monochromatic wave, wave vector and wavelength; 4.6. Dispersion; 4.7. Group velocity; 4.8. Fourier analysis for waves*; 4.9. Modulation*; 4.10. Energy of waves; 4.11. Other unattenuated wave equations, conserved quantities*; 4.12. Impedance of a medium*; 4.13. Attenuated waves; 4.14. Sources and observers in motion, the Doppler effect and shock waves; 4.15. Summary; 4.16. Problem solving suggestions; 4.17. Conceptual questions; 4.18. Problems; Chapter 5. Mechanical Waves; 5.1. Transverse waves on a taut string 5.2. Strain and stress in elastic solids |
| Record Nr. | UNINA-9910830108203321 |
|
Bécherrawy Tamer
|
||
| Hoboken, N.J., : John Wiley & Sons, Inc., | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Normal modes and localization in nonlinear systems [[electronic resource] /] / Alexander F. Vakakis ... [et al.]
| Normal modes and localization in nonlinear systems [[electronic resource] /] / Alexander F. Vakakis ... [et al.] |
| Pubbl/distr/stampa | New York, : Wiley, c1996 |
| Descrizione fisica | 1 online resource (570 p.) |
| Disciplina |
003.75
531.32 531/.32 |
| Altri autori (Persone) | VakakisAlexander F. <1961-> |
| Collana | Wiley series in nonlinear science |
| Soggetto topico |
Nonlinear systems
Vibration |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-281-76444-2
9786611764449 3-527-61786-8 3-527-61787-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
NORMAL MODES AND LOCALIZATION IN NONLINEAR SYSTEMS; CONTENTS; Preface; Acknowledgments; CHAPTER 1 Introduction; 1.1 Concepts of Nonlinear Normal Mode (NNM) and Nonlinear Localization,; 1.2 Example: NNMs of a Two-DOF Dynamical System,; CHAPTER 2 NNMs in Discrete Oscillators: Qualitative Results; 2.1 Preliminary Formulation,; 2.2 Existence Theorem for NNMs,; 2.3 Applications of the Existence Theorem,; 2.4 NNMs in Systems with Concave and Convex Nonlinearities,; CHAPTER 3 NNMs in Discrete Oscillators: Quantitative Results; 3.1 Introduction,; 3.2 Conservative Systems,
3.2.1 Trajectories of NNMs in Configuration Space,3.2.2 Similar NNMs,; 3.2.3 Nonsimilar NNMs and Matched Asymptotic Expansions,; 3.2.4 Application to a Two-DOF Strongly Nonlinear System,; 3.3 Invariant Manifold Approaches for NNMs,; 3.4 Analysis of NNMs Using Group Theory,; 3.5 Vibro-Impact Systems,; CHAPTER 4 Stability and Bifurcations of NNMs; 4.1 General Stability Results,; 4.2 Similar NNMs,; 4.2.1 Analysis of Stability Boundaries,; 4.2.2 Finite-Zoning Instability Conditions,; 4.3 Nonsimilar NNMs,; 4.4 NNM Bifurcations in a System in Internal Resonance,; 4.5 Stability of Stationary Waves, CHAPTER 5 Resonances of Discrete Systems Close to NNMs5.1 Exact Steady State Motions,; 5.2 Admissible Forcing Functions for Steady State Motions,; 5.3 Effects of NNM Bifurcations on the Resonances,; CHAPTER 6 The Method of Nonsmooth Temporal Transformations ( NSTTs); 6.1 Preliminaries,; 6.2 Representations of Functions Using NSTTs,; 6.3 Analysis of Dynamical Systems,; CHAPTER 7 Nonlinear Localization in Discrete Systems; 7.1 Weakly Coupled Oscillators: Qualitative Results,; 7.1.1 Existence and Stability of Periodic Solutions,; 7.1.2 Nonlinear Mode Localization, 7.2 Mode Localization in Systems with Cyclic Symmetry,7.2.1 Asymptotic Analysis of Modal Curves,; 7.2.2 Transition from Localization to Nonlocalization,; 7.3 Mode Localization in a Strongly Nonlinear System,; 7.4 Localization in Impulsively Forced Systems,; CHAPTER 8 NNMs in Continuous Systems; 8.1 Systems of Finite Spatial Extent,; 8.1.1 Direct Analysis of the Equations of Motion,; 8.1.2 Analysis by Discretization,; 8.1.3 Stability Analysis of NNMs,; 8.2 Systems of Infinite Spatial Extent,; 8.2.1 Stationary Waves as NNMs, 8.2.2 Waves in Attenuation Zones of Monocoupled Nonlinear Periodic Systems,CHAPTER 9 Nonlinear Localization in Systems of Coupled Beams; 9.1 Theoretical Analysis,; 9.1.1 Nonlinear Mode Localization: Discretization,; 9.1.2 Passive Motion Confinement of Impulsive Responses,; 9.1.3 Nonlinear Localization of Forced Steady-State Motions,; 9.1.4 Nonlinear Mode Localization: Direct Analysis of the Equations of Motion,; 9.2 Experimental Verification,; CHAPTER 10 Nonlinear Localization in Other Continuous Systems; 10.1 Multispan Nonlinear Beams,; 10.1.1 Derivation of the Modulation Equations, 10.1.2 Numerical Computations, |
| Record Nr. | UNINA-9910144743903321 |
| New York, : Wiley, c1996 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Normal modes and localization in nonlinear systems / / edited by Alexander F. Vakakis [and three others]
| Normal modes and localization in nonlinear systems / / edited by Alexander F. Vakakis [and three others] |
| Pubbl/distr/stampa | New York, New York : , : Wiley, , [1996] |
| Descrizione fisica | 1 online resource (570 p.) |
| Disciplina | 531/.32 |
| Collana | Wiley series in nonlinear science |
| Soggetto topico |
Vibration
Nonlinear systems |
| ISBN |
1-281-76444-2
9786611764449 3-527-61786-8 3-527-61787-6 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
NORMAL MODES AND LOCALIZATION IN NONLINEAR SYSTEMS; CONTENTS; Preface; Acknowledgments; CHAPTER 1 Introduction; 1.1 Concepts of Nonlinear Normal Mode (NNM) and Nonlinear Localization,; 1.2 Example: NNMs of a Two-DOF Dynamical System,; CHAPTER 2 NNMs in Discrete Oscillators: Qualitative Results; 2.1 Preliminary Formulation,; 2.2 Existence Theorem for NNMs,; 2.3 Applications of the Existence Theorem,; 2.4 NNMs in Systems with Concave and Convex Nonlinearities,; CHAPTER 3 NNMs in Discrete Oscillators: Quantitative Results; 3.1 Introduction,; 3.2 Conservative Systems,
3.2.1 Trajectories of NNMs in Configuration Space,3.2.2 Similar NNMs,; 3.2.3 Nonsimilar NNMs and Matched Asymptotic Expansions,; 3.2.4 Application to a Two-DOF Strongly Nonlinear System,; 3.3 Invariant Manifold Approaches for NNMs,; 3.4 Analysis of NNMs Using Group Theory,; 3.5 Vibro-Impact Systems,; CHAPTER 4 Stability and Bifurcations of NNMs; 4.1 General Stability Results,; 4.2 Similar NNMs,; 4.2.1 Analysis of Stability Boundaries,; 4.2.2 Finite-Zoning Instability Conditions,; 4.3 Nonsimilar NNMs,; 4.4 NNM Bifurcations in a System in Internal Resonance,; 4.5 Stability of Stationary Waves, CHAPTER 5 Resonances of Discrete Systems Close to NNMs5.1 Exact Steady State Motions,; 5.2 Admissible Forcing Functions for Steady State Motions,; 5.3 Effects of NNM Bifurcations on the Resonances,; CHAPTER 6 The Method of Nonsmooth Temporal Transformations ( NSTTs); 6.1 Preliminaries,; 6.2 Representations of Functions Using NSTTs,; 6.3 Analysis of Dynamical Systems,; CHAPTER 7 Nonlinear Localization in Discrete Systems; 7.1 Weakly Coupled Oscillators: Qualitative Results,; 7.1.1 Existence and Stability of Periodic Solutions,; 7.1.2 Nonlinear Mode Localization, 7.2 Mode Localization in Systems with Cyclic Symmetry,7.2.1 Asymptotic Analysis of Modal Curves,; 7.2.2 Transition from Localization to Nonlocalization,; 7.3 Mode Localization in a Strongly Nonlinear System,; 7.4 Localization in Impulsively Forced Systems,; CHAPTER 8 NNMs in Continuous Systems; 8.1 Systems of Finite Spatial Extent,; 8.1.1 Direct Analysis of the Equations of Motion,; 8.1.2 Analysis by Discretization,; 8.1.3 Stability Analysis of NNMs,; 8.2 Systems of Infinite Spatial Extent,; 8.2.1 Stationary Waves as NNMs, 8.2.2 Waves in Attenuation Zones of Monocoupled Nonlinear Periodic Systems,CHAPTER 9 Nonlinear Localization in Systems of Coupled Beams; 9.1 Theoretical Analysis,; 9.1.1 Nonlinear Mode Localization: Discretization,; 9.1.2 Passive Motion Confinement of Impulsive Responses,; 9.1.3 Nonlinear Localization of Forced Steady-State Motions,; 9.1.4 Nonlinear Mode Localization: Direct Analysis of the Equations of Motion,; 9.2 Experimental Verification,; CHAPTER 10 Nonlinear Localization in Other Continuous Systems; 10.1 Multispan Nonlinear Beams,; 10.1.1 Derivation of the Modulation Equations, 10.1.2 Numerical Computations, |
| Record Nr. | UNINA-9910830132303321 |
| New York, New York : , : Wiley, , [1996] | ||
| 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. | 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 | ||
| ||
