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Vibrations of continuous mechanical systems [[electronic resource] /] / Peter Hagedorn, Anirvan DasGupta
Vibrations of continuous mechanical systems [[electronic resource] /] / Peter Hagedorn, Anirvan DasGupta
Pubbl/distr/stampa Chichester, West Sussex, : John Wiley & Sons Ltd., 2007
Descrizione fisica 1 online resource (398 p.)
Disciplina 620.3
Altri autori (Persone) HagedornPeter
DasGuptaAnirvan
Soggetto topico Vibration
Soggetto genere / forma Electronic books.
ISBN 1-281-13533-X
9786611135331
0-470-51843-X
0-470-51842-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Vibrations and Waves in Continuous Mechanical Systems; Contents; Preface; 1 Vibrations of strings and bars; 1.1 Dynamics of strings and bars: the Newtonian formulation; 1.1.1 Transverse dynamics of strings; 1.1.2 Longitudinal dynamics of bars; 1.1.3 Torsional dynamics of bars; 1.2 Dynamics of strings and bars: the variational formulation; 1.2.1 Transverse dynamics of strings; 1.2.2 Longitudinal dynamics of bars; 1.2.3 Torsional dynamics of bars; 1.3 Free vibration problem: Bernoulli's solution; 1.4 Modal analysis; 1.4.1 The eigenvalue problem; 1.4.2 Orthogonality of eigenfunctions
1.4.3 The expansion theorem1.4.4 Systems with discrete elements; 1.5 The initial value problem: solution using Laplace transform; 1.6 Forced vibration analysis; 1.6.1 Harmonic forcing; 1.6.2 General forcing; 1.7 Approximate methods for continuous systems; 1.7.1 Rayleigh method; 1.7.2 Rayleigh-Ritz method; 1.7.3 Ritz method; 1.7.4 Galerkin method; 1.8 Continuous systems with damping; 1.8.1 Systems with distributed damping; 1.8.2 Systems with discrete damping; 1.9 Non-homogeneous boundary conditions; 1.10 Dynamics of axially translating strings; 1.10.1 Equation of motion
1.10.2 Modal analysis and discretization1.10.3 Interaction with discrete elements; Exercises; References; 2 One-dimensional wave equation: d'Alembert's solution; 2.1 D'Alembert's solution of the wave equation; 2.1.1 The initial value problem; 2.1.2 The initial value problem: solution using Fourier transform; 2.2 Harmonic waves and wave impedance; 2.3 Energetics of wave motion; 2.4 Scattering of waves; 2.4.1 Reflection at a boundary; 2.4.2 Scattering at a finite impedance; 2.5 Applications of the wave solution; 2.5.1 Impulsive start of a bar; 2.5.2 Step-forcing of a bar with boundary damping
2.5.3 Axial collision of bars2.5.4 String on a compliant foundation; 2.5.5 Axially translating string; Exercises; References; 3 Vibrations of beams; 3.1 Equation of motion; 3.1.1 The Newtonian formulation; 3.1.2 The variational formulation; 3.1.3 Various boundary conditions for a beam; 3.1.4 Taut string and tensioned beam; 3.2 Free vibration problem; 3.2.1 Modal analysis; 3.2.2 The initial value problem; 3.3 Forced vibration analysis; 3.3.1 Eigenfunction expansion method; 3.3.2 Approximate methods; 3.4 Non-homogeneous boundary conditions
3.5 Dispersion relation and flexural waves in a uniform beam3.5.1 Energy transport; 3.5.2 Scattering of flexural waves; 3.6 The Timoshenko beam; 3.6.1 Equations of motion; 3.6.2 Harmonic waves and dispersion relation; 3.7 Damped vibration of beams; 3.8 Special problems in vibrations of beams; 3.8.1 Influence of axial force on dynamic stability; 3.8.2 Beam with eccentric mass distribution; 3.8.3 Problems involving the motion of material points of a vibrating beam; 3.8.4 Dynamics of rotating shafts; 3.8.5 Dynamics of axially translating beams; 3.8.6 Dynamics of fluid-conveying pipes; Exercises
References
Record Nr. UNISA-996200155903316
Chichester, West Sussex, : John Wiley & Sons Ltd., 2007
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Vibrations of continuous mechanical systems [[electronic resource] /] / Peter Hagedorn, Anirvan DasGupta
Vibrations of continuous mechanical systems [[electronic resource] /] / Peter Hagedorn, Anirvan DasGupta
Pubbl/distr/stampa Chichester, West Sussex, : John Wiley & Sons Ltd., 2007
Descrizione fisica 1 online resource (398 p.)
Disciplina 620.3
Altri autori (Persone) HagedornPeter
DasGuptaAnirvan
Soggetto topico Vibration
Soggetto genere / forma Electronic books.
ISBN 1-281-13533-X
9786611135331
0-470-51843-X
0-470-51842-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Vibrations and Waves in Continuous Mechanical Systems; Contents; Preface; 1 Vibrations of strings and bars; 1.1 Dynamics of strings and bars: the Newtonian formulation; 1.1.1 Transverse dynamics of strings; 1.1.2 Longitudinal dynamics of bars; 1.1.3 Torsional dynamics of bars; 1.2 Dynamics of strings and bars: the variational formulation; 1.2.1 Transverse dynamics of strings; 1.2.2 Longitudinal dynamics of bars; 1.2.3 Torsional dynamics of bars; 1.3 Free vibration problem: Bernoulli's solution; 1.4 Modal analysis; 1.4.1 The eigenvalue problem; 1.4.2 Orthogonality of eigenfunctions
1.4.3 The expansion theorem1.4.4 Systems with discrete elements; 1.5 The initial value problem: solution using Laplace transform; 1.6 Forced vibration analysis; 1.6.1 Harmonic forcing; 1.6.2 General forcing; 1.7 Approximate methods for continuous systems; 1.7.1 Rayleigh method; 1.7.2 Rayleigh-Ritz method; 1.7.3 Ritz method; 1.7.4 Galerkin method; 1.8 Continuous systems with damping; 1.8.1 Systems with distributed damping; 1.8.2 Systems with discrete damping; 1.9 Non-homogeneous boundary conditions; 1.10 Dynamics of axially translating strings; 1.10.1 Equation of motion
1.10.2 Modal analysis and discretization1.10.3 Interaction with discrete elements; Exercises; References; 2 One-dimensional wave equation: d'Alembert's solution; 2.1 D'Alembert's solution of the wave equation; 2.1.1 The initial value problem; 2.1.2 The initial value problem: solution using Fourier transform; 2.2 Harmonic waves and wave impedance; 2.3 Energetics of wave motion; 2.4 Scattering of waves; 2.4.1 Reflection at a boundary; 2.4.2 Scattering at a finite impedance; 2.5 Applications of the wave solution; 2.5.1 Impulsive start of a bar; 2.5.2 Step-forcing of a bar with boundary damping
2.5.3 Axial collision of bars2.5.4 String on a compliant foundation; 2.5.5 Axially translating string; Exercises; References; 3 Vibrations of beams; 3.1 Equation of motion; 3.1.1 The Newtonian formulation; 3.1.2 The variational formulation; 3.1.3 Various boundary conditions for a beam; 3.1.4 Taut string and tensioned beam; 3.2 Free vibration problem; 3.2.1 Modal analysis; 3.2.2 The initial value problem; 3.3 Forced vibration analysis; 3.3.1 Eigenfunction expansion method; 3.3.2 Approximate methods; 3.4 Non-homogeneous boundary conditions
3.5 Dispersion relation and flexural waves in a uniform beam3.5.1 Energy transport; 3.5.2 Scattering of flexural waves; 3.6 The Timoshenko beam; 3.6.1 Equations of motion; 3.6.2 Harmonic waves and dispersion relation; 3.7 Damped vibration of beams; 3.8 Special problems in vibrations of beams; 3.8.1 Influence of axial force on dynamic stability; 3.8.2 Beam with eccentric mass distribution; 3.8.3 Problems involving the motion of material points of a vibrating beam; 3.8.4 Dynamics of rotating shafts; 3.8.5 Dynamics of axially translating beams; 3.8.6 Dynamics of fluid-conveying pipes; Exercises
References
Record Nr. UNINA-9910144584003321
Chichester, West Sussex, : John Wiley & Sons Ltd., 2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Vibrations of continuous mechanical systems [[electronic resource] /] / Peter Hagedorn, Anirvan DasGupta
Vibrations of continuous mechanical systems [[electronic resource] /] / Peter Hagedorn, Anirvan DasGupta
Pubbl/distr/stampa Chichester, West Sussex, : John Wiley & Sons Ltd., 2007
Descrizione fisica 1 online resource (398 p.)
Disciplina 620.3
Altri autori (Persone) HagedornPeter
DasGuptaAnirvan
Soggetto topico Vibration
ISBN 1-281-13533-X
9786611135331
0-470-51843-X
0-470-51842-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Vibrations and Waves in Continuous Mechanical Systems; Contents; Preface; 1 Vibrations of strings and bars; 1.1 Dynamics of strings and bars: the Newtonian formulation; 1.1.1 Transverse dynamics of strings; 1.1.2 Longitudinal dynamics of bars; 1.1.3 Torsional dynamics of bars; 1.2 Dynamics of strings and bars: the variational formulation; 1.2.1 Transverse dynamics of strings; 1.2.2 Longitudinal dynamics of bars; 1.2.3 Torsional dynamics of bars; 1.3 Free vibration problem: Bernoulli's solution; 1.4 Modal analysis; 1.4.1 The eigenvalue problem; 1.4.2 Orthogonality of eigenfunctions
1.4.3 The expansion theorem1.4.4 Systems with discrete elements; 1.5 The initial value problem: solution using Laplace transform; 1.6 Forced vibration analysis; 1.6.1 Harmonic forcing; 1.6.2 General forcing; 1.7 Approximate methods for continuous systems; 1.7.1 Rayleigh method; 1.7.2 Rayleigh-Ritz method; 1.7.3 Ritz method; 1.7.4 Galerkin method; 1.8 Continuous systems with damping; 1.8.1 Systems with distributed damping; 1.8.2 Systems with discrete damping; 1.9 Non-homogeneous boundary conditions; 1.10 Dynamics of axially translating strings; 1.10.1 Equation of motion
1.10.2 Modal analysis and discretization1.10.3 Interaction with discrete elements; Exercises; References; 2 One-dimensional wave equation: d'Alembert's solution; 2.1 D'Alembert's solution of the wave equation; 2.1.1 The initial value problem; 2.1.2 The initial value problem: solution using Fourier transform; 2.2 Harmonic waves and wave impedance; 2.3 Energetics of wave motion; 2.4 Scattering of waves; 2.4.1 Reflection at a boundary; 2.4.2 Scattering at a finite impedance; 2.5 Applications of the wave solution; 2.5.1 Impulsive start of a bar; 2.5.2 Step-forcing of a bar with boundary damping
2.5.3 Axial collision of bars2.5.4 String on a compliant foundation; 2.5.5 Axially translating string; Exercises; References; 3 Vibrations of beams; 3.1 Equation of motion; 3.1.1 The Newtonian formulation; 3.1.2 The variational formulation; 3.1.3 Various boundary conditions for a beam; 3.1.4 Taut string and tensioned beam; 3.2 Free vibration problem; 3.2.1 Modal analysis; 3.2.2 The initial value problem; 3.3 Forced vibration analysis; 3.3.1 Eigenfunction expansion method; 3.3.2 Approximate methods; 3.4 Non-homogeneous boundary conditions
3.5 Dispersion relation and flexural waves in a uniform beam3.5.1 Energy transport; 3.5.2 Scattering of flexural waves; 3.6 The Timoshenko beam; 3.6.1 Equations of motion; 3.6.2 Harmonic waves and dispersion relation; 3.7 Damped vibration of beams; 3.8 Special problems in vibrations of beams; 3.8.1 Influence of axial force on dynamic stability; 3.8.2 Beam with eccentric mass distribution; 3.8.3 Problems involving the motion of material points of a vibrating beam; 3.8.4 Dynamics of rotating shafts; 3.8.5 Dynamics of axially translating beams; 3.8.6 Dynamics of fluid-conveying pipes; Exercises
References
Record Nr. UNINA-9910829984303321
Chichester, West Sussex, : John Wiley & Sons Ltd., 2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Vibrations of continuous mechanical systems / / Peter Hagedorn, Anirvan DasGupta
Vibrations of continuous mechanical systems / / Peter Hagedorn, Anirvan DasGupta
Pubbl/distr/stampa Chichester, West Sussex, : John Wiley & Sons Ltd., 2007
Descrizione fisica 1 online resource (398 p.)
Disciplina 620.3
Altri autori (Persone) HagedornPeter
DasGuptaAnirvan
Soggetto topico Vibration
ISBN 9786611135331
9781281135339
128113533X
9780470518434
047051843X
9780470518427
0470518421
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Vibrations and Waves in Continuous Mechanical Systems; Contents; Preface; 1 Vibrations of strings and bars; 1.1 Dynamics of strings and bars: the Newtonian formulation; 1.1.1 Transverse dynamics of strings; 1.1.2 Longitudinal dynamics of bars; 1.1.3 Torsional dynamics of bars; 1.2 Dynamics of strings and bars: the variational formulation; 1.2.1 Transverse dynamics of strings; 1.2.2 Longitudinal dynamics of bars; 1.2.3 Torsional dynamics of bars; 1.3 Free vibration problem: Bernoulli's solution; 1.4 Modal analysis; 1.4.1 The eigenvalue problem; 1.4.2 Orthogonality of eigenfunctions
1.4.3 The expansion theorem1.4.4 Systems with discrete elements; 1.5 The initial value problem: solution using Laplace transform; 1.6 Forced vibration analysis; 1.6.1 Harmonic forcing; 1.6.2 General forcing; 1.7 Approximate methods for continuous systems; 1.7.1 Rayleigh method; 1.7.2 Rayleigh-Ritz method; 1.7.3 Ritz method; 1.7.4 Galerkin method; 1.8 Continuous systems with damping; 1.8.1 Systems with distributed damping; 1.8.2 Systems with discrete damping; 1.9 Non-homogeneous boundary conditions; 1.10 Dynamics of axially translating strings; 1.10.1 Equation of motion
1.10.2 Modal analysis and discretization1.10.3 Interaction with discrete elements; Exercises; References; 2 One-dimensional wave equation: d'Alembert's solution; 2.1 D'Alembert's solution of the wave equation; 2.1.1 The initial value problem; 2.1.2 The initial value problem: solution using Fourier transform; 2.2 Harmonic waves and wave impedance; 2.3 Energetics of wave motion; 2.4 Scattering of waves; 2.4.1 Reflection at a boundary; 2.4.2 Scattering at a finite impedance; 2.5 Applications of the wave solution; 2.5.1 Impulsive start of a bar; 2.5.2 Step-forcing of a bar with boundary damping
2.5.3 Axial collision of bars2.5.4 String on a compliant foundation; 2.5.5 Axially translating string; Exercises; References; 3 Vibrations of beams; 3.1 Equation of motion; 3.1.1 The Newtonian formulation; 3.1.2 The variational formulation; 3.1.3 Various boundary conditions for a beam; 3.1.4 Taut string and tensioned beam; 3.2 Free vibration problem; 3.2.1 Modal analysis; 3.2.2 The initial value problem; 3.3 Forced vibration analysis; 3.3.1 Eigenfunction expansion method; 3.3.2 Approximate methods; 3.4 Non-homogeneous boundary conditions
3.5 Dispersion relation and flexural waves in a uniform beam3.5.1 Energy transport; 3.5.2 Scattering of flexural waves; 3.6 The Timoshenko beam; 3.6.1 Equations of motion; 3.6.2 Harmonic waves and dispersion relation; 3.7 Damped vibration of beams; 3.8 Special problems in vibrations of beams; 3.8.1 Influence of axial force on dynamic stability; 3.8.2 Beam with eccentric mass distribution; 3.8.3 Problems involving the motion of material points of a vibrating beam; 3.8.4 Dynamics of rotating shafts; 3.8.5 Dynamics of axially translating beams; 3.8.6 Dynamics of fluid-conveying pipes; Exercises
References
Record Nr. UNINA-9911018961003321
Chichester, West Sussex, : John Wiley & Sons Ltd., 2007
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui