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Mechanical vibrations : theory and application to structural dynamics / / Michel Geradin, Daniel J. Rixen
| Mechanical vibrations : theory and application to structural dynamics / / Michel Geradin, Daniel J. Rixen |
| Autore | Geradin Michel <1945-> |
| Edizione | [Third edition.] |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (617 p.) |
| Disciplina | 624.1/76 |
| Collana | New York Academy of Sciences |
| Soggetto topico | Structural dynamics |
| ISBN |
1-118-90019-7
1-118-90018-9 |
| Classificazione |
501.24
624.1/76 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; TItle Page; Copyright; Contents; Foreword; Preface; Introduction; Suggested Bibliography; List of main symbols and definitions; Chapter 1 Analytical Dynamics of Discrete Systems; Definitions; 1.1 Principle of virtual work for a particle; 1.1.1 Nonconstrained particle; 1.1.2 Constrained particle; 1.2 Extension to a system of particles; 1.2.1 Virtual work principle for N particles; 1.2.2 The kinematic constraints; 1.2.3 Concept of generalized displacements; 1.3 Hamilton's principle for conservative systems and Lagrange equations
1.3.1 Structure of kinetic energy and classification of inertia forces1.3.2 Energy conservation in a system with scleronomic constraints; 1.3.3 Classification of generalized forces; 1.4 Lagrange equations in the general case; 1.5 Lagrange equations for impulsive loading; 1.5.1 Impulsive loading of a mass particle; 1.5.2 Impulsive loading for a system of particles; 1.6 Dynamics of constrained systems; 1.7 Exercises; 1.7.1 Solved exercises; 1.7.2 Selected exercises; References; Chapter 2 Undamped Vibrations of n-Degree-of-Freedom Systems; Definitions 2.1 Linear vibrations about an equilibrium configuration2.1.1 Vibrations about a stable equilibrium position; 2.1.2 Free vibrations about an equilibrium configuration corresponding to steady motion; 2.1.3 Vibrations about a neutrally stable equilibrium position; 2.2 Normal modes of vibration; 2.2.1 Systems with a stable equilibrium configuration; 2.2.2 Systems with a neutrally stable equilibrium position; 2.3 Orthogonality of vibration eigenmodes; 2.3.1 Orthogonality of elastic modes with distinct frequencies; 2.3.2 Degeneracy theorem and generalized orthogonality relationships 2.3.3 Orthogonality relationships including rigid-body modes2.4 Vector and matrix spectral expansions using eigenmodes; 2.5 Free vibrations induced by nonzero initial conditions; 2.5.1 Systems with a stable equilibrium position; 2.5.2 Systems with neutrally stable equilibrium position; 2.6 Response to applied forces: forced harmonic response; 2.6.1 Harmonic response, impedance and admittance matrices; 2.6.2 Mode superposition and spectral expansion of the admittance matrix; 2.6.3 Statically exact expansion of the admittance matrix; 2.6.4 Pseudo-resonance and resonance 2.6.5 Normal excitation modes2.7 Response to applied forces: response in the time domain; 2.7.1 Mode superposition and normal equations; 2.7.2 Impulse response and time integration of the normal equations; 2.7.3 Step response and time integration of the normal equations; 2.7.4 Direct integration of the transient response; 2.8 Modal approximations of dynamic responses; 2.8.1 Response truncation and mode displacement method; 2.8.2 Mode acceleration method; 2.8.3 Mode acceleration and model reduction on selected coordinates; 2.9 Response to support motion 2.9.1 Motion imposed to a subset of degrees of freedom |
| Record Nr. | UNINA-9910787265103321 |
Geradin Michel <1945->
|
||
| Hoboken, New Jersey : , : Wiley, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Mechanical vibrations : theory and application to structural dynamics / / Michel Geradin, Daniel J. Rixen
| Mechanical vibrations : theory and application to structural dynamics / / Michel Geradin, Daniel J. Rixen |
| Autore | Geradin Michel <1945-> |
| Edizione | [Third edition.] |
| Pubbl/distr/stampa | Hoboken, New Jersey : , : Wiley, , 2015 |
| Descrizione fisica | 1 online resource (617 p.) |
| Disciplina | 624.1/76 |
| Collana | New York Academy of Sciences |
| Soggetto topico | Structural dynamics |
| ISBN |
1-118-90019-7
1-118-90018-9 |
| Classificazione |
501.24
624.1/76 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Cover; TItle Page; Copyright; Contents; Foreword; Preface; Introduction; Suggested Bibliography; List of main symbols and definitions; Chapter 1 Analytical Dynamics of Discrete Systems; Definitions; 1.1 Principle of virtual work for a particle; 1.1.1 Nonconstrained particle; 1.1.2 Constrained particle; 1.2 Extension to a system of particles; 1.2.1 Virtual work principle for N particles; 1.2.2 The kinematic constraints; 1.2.3 Concept of generalized displacements; 1.3 Hamilton's principle for conservative systems and Lagrange equations
1.3.1 Structure of kinetic energy and classification of inertia forces1.3.2 Energy conservation in a system with scleronomic constraints; 1.3.3 Classification of generalized forces; 1.4 Lagrange equations in the general case; 1.5 Lagrange equations for impulsive loading; 1.5.1 Impulsive loading of a mass particle; 1.5.2 Impulsive loading for a system of particles; 1.6 Dynamics of constrained systems; 1.7 Exercises; 1.7.1 Solved exercises; 1.7.2 Selected exercises; References; Chapter 2 Undamped Vibrations of n-Degree-of-Freedom Systems; Definitions 2.1 Linear vibrations about an equilibrium configuration2.1.1 Vibrations about a stable equilibrium position; 2.1.2 Free vibrations about an equilibrium configuration corresponding to steady motion; 2.1.3 Vibrations about a neutrally stable equilibrium position; 2.2 Normal modes of vibration; 2.2.1 Systems with a stable equilibrium configuration; 2.2.2 Systems with a neutrally stable equilibrium position; 2.3 Orthogonality of vibration eigenmodes; 2.3.1 Orthogonality of elastic modes with distinct frequencies; 2.3.2 Degeneracy theorem and generalized orthogonality relationships 2.3.3 Orthogonality relationships including rigid-body modes2.4 Vector and matrix spectral expansions using eigenmodes; 2.5 Free vibrations induced by nonzero initial conditions; 2.5.1 Systems with a stable equilibrium position; 2.5.2 Systems with neutrally stable equilibrium position; 2.6 Response to applied forces: forced harmonic response; 2.6.1 Harmonic response, impedance and admittance matrices; 2.6.2 Mode superposition and spectral expansion of the admittance matrix; 2.6.3 Statically exact expansion of the admittance matrix; 2.6.4 Pseudo-resonance and resonance 2.6.5 Normal excitation modes2.7 Response to applied forces: response in the time domain; 2.7.1 Mode superposition and normal equations; 2.7.2 Impulse response and time integration of the normal equations; 2.7.3 Step response and time integration of the normal equations; 2.7.4 Direct integration of the transient response; 2.8 Modal approximations of dynamic responses; 2.8.1 Response truncation and mode displacement method; 2.8.2 Mode acceleration method; 2.8.3 Mode acceleration and model reduction on selected coordinates; 2.9 Response to support motion 2.9.1 Motion imposed to a subset of degrees of freedom |
| Record Nr. | UNINA-9910806907703321 |
|
Geradin Michel <1945->
|
||
| Hoboken, New Jersey : , : Wiley, , 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||