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Beam structures [[electronic resource] ] : classical and advanced theories / / Erasmo Carrera, Gaetano Giunta, Marco Petrolo
Beam structures [[electronic resource] ] : classical and advanced theories / / Erasmo Carrera, Gaetano Giunta, Marco Petrolo
Autore Carrera Erasmo
Edizione [1st ed.]
Pubbl/distr/stampa Hoboken, N.J., : Wiley, 2011
Descrizione fisica 1 online resource (204 p.)
Disciplina 624.1/7723
Altri autori (Persone) GiuntaGaetano
PetroloMarco
Soggetto topico Girders
ISBN 1-283-20455-X
9786613204554
1-119-95104-6
1-119-97856-4
1-119-97857-2
Classificazione SCI041000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Beam Structures; Contents; About the Authors; Preface; Introduction; References; 1 Fundamental equations of continuous deformable bodies; 1.1 Displacement, strain, and stresses; 1.2 Equilibrium equations in terms of stress components and boundary conditions; 1.3 Strain displacement relations; 1.4 Constitutive relations: Hooke's law; 1.5 Displacement approach via principle of virtual displacements; References; 2 The Euler-Bernoulli and Timoshenko theories; 2.1 The Euler-Bernoulli model; 2.1.1 Displacement field; 2.1.2 Strains; 2.1.3 Stresses and stress resultants; 2.1.4 Elastica
2.2 The Timoshenko model 2.2.1 Displacement field; 2.2.2 Strains; 2.2.3 Stresses and stress resultants; 2.2.4 Elastica; 2.3 Bending of a cantilever beam: EBBT and TBT solutions; 2.3.1 EBBT solution; 2.3.2 TBT solution; References; 3 A refined beam theory with in-plane stretching: the complete linear expansion case; 3.1 The CLEC displacement field; 3.2 The importance of linear stretching terms; 3.3 A finite element based on CLEC; Further reading; 4 EBBT, TBT, and CLEC in unified form; 4.1 Unified formulation of CLEC; 4.2 EBBT and TBT as particular cases of CLEC
4.3 Poisson locking and its correction 4.3.1 Kinematic considerations of strains; 4.3.2 Physical considerations of strains; 4.3.3 First remedy: use of higher-order kinematics; 4.3.4 Second remedy: modification of elastic coefficients; References; 5 Carrera Unified Formulation and refined beam theories; 5.1 Unified formulation; 5.2 Governing equations; 5.2.1 Strong form of the governing equations; 5.2.2 Weak form of the governing equations; References; Further reading; 6 The parabolic, cubic, quartic, and N-order beam theories; 6.1 The second-order beam model, N =2
6.2 The third-order, N = 3, and the fourth-order, N = 4, beam models 6.3 N-order beam models; Further reading; 7 CUF beam FE models: programming and implementation issue guidelines; 7.1 Preprocessing and input descriptions; 7.1.1 General FE inputs; 7.1.2 Specific CUF inputs; 7.2 FEM code; 7.2.1 Stiffness and mass matrix; 7.2.2 Stiffness and mass matrix numerical examples; 7.2.3 Constraints and reduced models; 7.2.4 Load vector; 7.3 Postprocessing; 7.3.1 Stresses and strains; References; 8 Shell capabilities of refined beam theories; 8.1 C-shaped cross-section and bending-torsional loading
8.2 Thin-walled hollow cylinder 8.2.1 Static analysis: detection of local effects due to a point load; 8.2.2 Free-vibration analysis: detection of shell-like natural modes; 8.3 Static and free-vibration analyses of an airfoil-shaped beam; 8.4 Free vibrations of a bridge-like beam; References; 9 Linearized elastic stability; 9.1 Critical buckling load classic solution; 9.2 Higher-order CUF models; 9.2.1 Governing equations, fundamental nucleus; 9.2.2 Closed form analytical solution; 9.3 Examples; References; 10 Beams made of functionally graded materials; 10.1 Functionally graded materials
10.2 Material gradation laws
Record Nr. UNINA-9910139612203321
Carrera Erasmo  
Hoboken, N.J., : Wiley, 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Beam structures [[electronic resource] ] : classical and advanced theories / / Erasmo Carrera, Gaetano Giunta, Marco Petrolo
Beam structures [[electronic resource] ] : classical and advanced theories / / Erasmo Carrera, Gaetano Giunta, Marco Petrolo
Autore Carrera Erasmo
Edizione [1st ed.]
Pubbl/distr/stampa Hoboken, N.J., : Wiley, 2011
Descrizione fisica 1 online resource (204 p.)
Disciplina 624.1/7723
Altri autori (Persone) GiuntaGaetano
PetroloMarco
Soggetto topico Girders
ISBN 1-283-20455-X
9786613204554
1-119-95104-6
1-119-97856-4
1-119-97857-2
Classificazione SCI041000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Beam Structures; Contents; About the Authors; Preface; Introduction; References; 1 Fundamental equations of continuous deformable bodies; 1.1 Displacement, strain, and stresses; 1.2 Equilibrium equations in terms of stress components and boundary conditions; 1.3 Strain displacement relations; 1.4 Constitutive relations: Hooke's law; 1.5 Displacement approach via principle of virtual displacements; References; 2 The Euler-Bernoulli and Timoshenko theories; 2.1 The Euler-Bernoulli model; 2.1.1 Displacement field; 2.1.2 Strains; 2.1.3 Stresses and stress resultants; 2.1.4 Elastica
2.2 The Timoshenko model 2.2.1 Displacement field; 2.2.2 Strains; 2.2.3 Stresses and stress resultants; 2.2.4 Elastica; 2.3 Bending of a cantilever beam: EBBT and TBT solutions; 2.3.1 EBBT solution; 2.3.2 TBT solution; References; 3 A refined beam theory with in-plane stretching: the complete linear expansion case; 3.1 The CLEC displacement field; 3.2 The importance of linear stretching terms; 3.3 A finite element based on CLEC; Further reading; 4 EBBT, TBT, and CLEC in unified form; 4.1 Unified formulation of CLEC; 4.2 EBBT and TBT as particular cases of CLEC
4.3 Poisson locking and its correction 4.3.1 Kinematic considerations of strains; 4.3.2 Physical considerations of strains; 4.3.3 First remedy: use of higher-order kinematics; 4.3.4 Second remedy: modification of elastic coefficients; References; 5 Carrera Unified Formulation and refined beam theories; 5.1 Unified formulation; 5.2 Governing equations; 5.2.1 Strong form of the governing equations; 5.2.2 Weak form of the governing equations; References; Further reading; 6 The parabolic, cubic, quartic, and N-order beam theories; 6.1 The second-order beam model, N =2
6.2 The third-order, N = 3, and the fourth-order, N = 4, beam models 6.3 N-order beam models; Further reading; 7 CUF beam FE models: programming and implementation issue guidelines; 7.1 Preprocessing and input descriptions; 7.1.1 General FE inputs; 7.1.2 Specific CUF inputs; 7.2 FEM code; 7.2.1 Stiffness and mass matrix; 7.2.2 Stiffness and mass matrix numerical examples; 7.2.3 Constraints and reduced models; 7.2.4 Load vector; 7.3 Postprocessing; 7.3.1 Stresses and strains; References; 8 Shell capabilities of refined beam theories; 8.1 C-shaped cross-section and bending-torsional loading
8.2 Thin-walled hollow cylinder 8.2.1 Static analysis: detection of local effects due to a point load; 8.2.2 Free-vibration analysis: detection of shell-like natural modes; 8.3 Static and free-vibration analyses of an airfoil-shaped beam; 8.4 Free vibrations of a bridge-like beam; References; 9 Linearized elastic stability; 9.1 Critical buckling load classic solution; 9.2 Higher-order CUF models; 9.2.1 Governing equations, fundamental nucleus; 9.2.2 Closed form analytical solution; 9.3 Examples; References; 10 Beams made of functionally graded materials; 10.1 Functionally graded materials
10.2 Material gradation laws
Record Nr. UNINA-9910814878703321
Carrera Erasmo  
Hoboken, N.J., : Wiley, 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Fluid mechanics for chemical engineering [[electronic resource] /] / Mathieu Mory
Fluid mechanics for chemical engineering [[electronic resource] /] / Mathieu Mory
Autore Mory Mathieu
Edizione [1st edition]
Pubbl/distr/stampa London, : ISTE
Descrizione fisica 1 online resource (440 p.)
Disciplina 660.29
660/.29
Collana ISTE
Soggetto topico Chemical processes
Fluid dynamics
ISBN 1-118-61717-7
1-118-61691-X
1-299-31429-5
1-118-61685-5
Classificazione SCI041000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto pt. 1. Elements in fluid mechanics -- pt. 2. Mixing and chemical reactions -- pt. 3. Mechanical separation.
Record Nr. UNINA-9910139056303321
Mory Mathieu  
London, : ISTE
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Fluid mechanics for chemical engineering [[electronic resource] /] / Mathieu Mory
Fluid mechanics for chemical engineering [[electronic resource] /] / Mathieu Mory
Autore Mory Mathieu
Edizione [1st edition]
Pubbl/distr/stampa London, : ISTE
Descrizione fisica 1 online resource (440 p.)
Disciplina 660.29
660/.29
Collana ISTE
Soggetto topico Chemical processes
Fluid dynamics
ISBN 1-118-61717-7
1-118-61691-X
1-299-31429-5
1-118-61685-5
Classificazione SCI041000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto pt. 1. Elements in fluid mechanics -- pt. 2. Mixing and chemical reactions -- pt. 3. Mechanical separation.
Record Nr. UNINA-9910830077303321
Mory Mathieu  
London, : ISTE
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Fluid mechanics for chemical engineering [[electronic resource] /] / Mathieu Mory
Fluid mechanics for chemical engineering [[electronic resource] /] / Mathieu Mory
Autore Mory Mathieu
Edizione [1st edition]
Pubbl/distr/stampa London, : ISTE
Descrizione fisica 1 online resource (440 p.)
Disciplina 660.29
660/.29
Collana ISTE
Soggetto topico Chemical processes
Fluid dynamics
ISBN 1-118-61717-7
1-118-61691-X
1-299-31429-5
1-118-61685-5
Classificazione SCI041000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto pt. 1. Elements in fluid mechanics -- pt. 2. Mixing and chemical reactions -- pt. 3. Mechanical separation.
Record Nr. UNINA-9910840551603321
Mory Mathieu  
London, : ISTE
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Fluid-structure interaction : an introduction to finite element coupling / / Jean-Francois Sigrist, DCNS Research, France
Fluid-structure interaction : an introduction to finite element coupling / / Jean-Francois Sigrist, DCNS Research, France
Autore Sigrist Jean-Francois
Pubbl/distr/stampa Chichester, England : , : Wiley, , 2015
Descrizione fisica 1 online resource (300 p.)
Disciplina 624.1/71
Collana New York Academy of Sciences
Soggetto topico Fluid-structure interaction
Finite element method
ISBN 1-118-92775-3
1-118-92776-1
1-118-92774-5
Classificazione SCI041000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Machine generated contents note: Foreword v Preface vii Images Credits ix 1 Fluid-Structure Interaction 1 1.1 A wide variety of problems 2 1.2 Analytical modelling of Fluid-Structure Interactions 3 1.2.1 Potential flow. Inertial coupling 4 1.2.2 Viscous flow. Viscous damping 8 1.2.3 Compressible flow. Radiation damping 10 1.3 Numerical simulation of Fluid-Structure Interactions 14 1.4 Finite element and boundary element methods 24 References 25 2 Structure Finite Elements 27 2.1 Vibrations of an elastic structure 28 2.1.1 Modelling assumptions 28 2.1.2 Equations of motion 36 2.2 Finite Element Method: practical implementation 38 2.2.1 Weighted integral formulation 38 2.2.2 Finite elements 40 2.2.3 Elementary matrices 43 2.2.4 Mass and stiffness matrices 44 2.2.5 Calculating and assembling matrices 49 2.2.6 Modal analysis 54 2.3 Example: bending modes 57 2.3.1 Bending motion of a straight elastic beam 57 2.3.2 Bernoulli beam elements 58 2.3.3 Bending modes 62 2.4 Example : coupled bending/membrane modes 66 2.4.1 Bending and membrane motion of a circular elastic ring 66 2.4.2 Fourier component representation: 0D element 67 2.4.3 Bending/membrane modes 69 References 79 3 Fluid Finite Elements 81 3.1 Fluid flow equations 82 3.2 Compressibility waves 91 3.2.1 Wave equation 91 3.2.2 Boundary conditions 95 3.3 Finite element method 103 3.3.1 Pressure-based formulation 103 3.3.2 Displacement-based formulations 108 3.3.3 Finite element matrices 111 3.4 Boundary element method 113 3.4.1 Green function and Green's integral theorem 113 3.4.2 Interior and exterior problems 114 3.4.3 Direct and indirect boundary element method 116 3.4.4 Boundary element matrices 120 3.5 Example: Sloshing modes 121 3.5.1 Circular reservoir with fluid free surface 121 3.5.2 2D axi-symmetric elements with gravity 124 3.5.3 Sloshing modes 126 3.6 Example: Acoustic modes in an open reservoir 128 3.6.1 Cylindrical acoustic opened cavity 128 3.6.2 2D axi-symmetric elements with compressibility 129 3.6.3 Acoustic modes 130 3.7 Example: Acoustic modes in a closed reservoir 132 3.7.1 Rectangular acoustic closed cavity 132 3.7.2 2D fluid elements with compressibility 134 3.7.3 Acoustic modes 134 3.8 Example: Acoustic radiation in infinite fluid 135 3.8.1 Pulsating ring in infinite acoustic fluid 135 3.8.2 1D axi-symmetric element with radiation condition 137 3.8.3 1D boundary elements 138 3.8.4 Acoustic radiation 141 References 146 4 Inertial Coupling 149 4.1 Mathematical modelling 150 4.2 Added mass matrix 152 4.2.1 Coupling matrix 152 4.2.2 Added mass matrix 154 4.2.3 Inertial effect 156 4.3 Modelling inertial coupling for complex systems: example of tube bundle 163 4.3.1 Analytical models for added mass 164 4.3.2 'Term-to-term' computation of the added mass matrix 164 4.3.3 A homogenisation technique 167 4.4 Examples : inertial effect in bounded domain 178 4.4.1 Analytical calculation of the added mass matrix 178 4.4.2 Numerical computation of the added mass matrix 185 4.5 Example: inertial effect in unbounded domain 191 4.5.1 Elastic ring immersed in a fluid 191 4.5.2 Finite element coupling with infinite element 194 References 200 5 Fluid-Structure Coupling 203 5.1 Modelling assumption 204 5.2 Interior problems: vibro-acoustic and hydro-elastic coupling 205 5.2.1 Non-symmetric formulation 205 5.2.2 Symmetric formulation 208 5.3 Exterior problem: vibro-acoustic 217 5.4 Example: vibro-acoustic coupling and hydro-elastic sloshing 223 5.5 Example: Acoustic damping 231 5.5.1 Analytical modelling 231 5.5.2 Numerical computation 235 References 245 6 Structural Dynamics with Fluid-Structure Interaction 247 6.1 Introduction 248 6.2 Time-domain analysis 250 6.2.1 Direct methods 250 6.2.2 Modal methods 261 6.3 Frequency-domain analysis 271 6.3.1 Direct and modal methods 271 6.3.2 Computation of the projection basis 273 6.4 Example: time-domain analysis 278 6.4.1 Accelerated cantilever beam with fluid coupling 278 6.4.2 System and excitation spectra 281 6.4.3 Seismic response: Direct and modal methods 283 6.5 Example: frequency-domain analysis 289 6.5.1 Acoustic radiation of a damped structure immersed in a fluid 289 6.5.2 Frequency response: Direct and modal methods 293 References 304 Index 307.
Record Nr. UNINA-9910131451303321
Sigrist Jean-Francois  
Chichester, England : , : Wiley, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Fluid-structure interaction : an introduction to finite element coupling / / Jean-Francois Sigrist, DCNS Research, France
Fluid-structure interaction : an introduction to finite element coupling / / Jean-Francois Sigrist, DCNS Research, France
Autore Sigrist Jean-Francois
Pubbl/distr/stampa Chichester, England : , : Wiley, , 2015
Descrizione fisica 1 online resource (300 p.)
Disciplina 624.1/71
Collana New York Academy of Sciences
Soggetto topico Fluid-structure interaction
Finite element method
ISBN 1-118-92775-3
1-118-92776-1
1-118-92774-5
Classificazione SCI041000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Machine generated contents note: Foreword v Preface vii Images Credits ix 1 Fluid-Structure Interaction 1 1.1 A wide variety of problems 2 1.2 Analytical modelling of Fluid-Structure Interactions 3 1.2.1 Potential flow. Inertial coupling 4 1.2.2 Viscous flow. Viscous damping 8 1.2.3 Compressible flow. Radiation damping 10 1.3 Numerical simulation of Fluid-Structure Interactions 14 1.4 Finite element and boundary element methods 24 References 25 2 Structure Finite Elements 27 2.1 Vibrations of an elastic structure 28 2.1.1 Modelling assumptions 28 2.1.2 Equations of motion 36 2.2 Finite Element Method: practical implementation 38 2.2.1 Weighted integral formulation 38 2.2.2 Finite elements 40 2.2.3 Elementary matrices 43 2.2.4 Mass and stiffness matrices 44 2.2.5 Calculating and assembling matrices 49 2.2.6 Modal analysis 54 2.3 Example: bending modes 57 2.3.1 Bending motion of a straight elastic beam 57 2.3.2 Bernoulli beam elements 58 2.3.3 Bending modes 62 2.4 Example : coupled bending/membrane modes 66 2.4.1 Bending and membrane motion of a circular elastic ring 66 2.4.2 Fourier component representation: 0D element 67 2.4.3 Bending/membrane modes 69 References 79 3 Fluid Finite Elements 81 3.1 Fluid flow equations 82 3.2 Compressibility waves 91 3.2.1 Wave equation 91 3.2.2 Boundary conditions 95 3.3 Finite element method 103 3.3.1 Pressure-based formulation 103 3.3.2 Displacement-based formulations 108 3.3.3 Finite element matrices 111 3.4 Boundary element method 113 3.4.1 Green function and Green's integral theorem 113 3.4.2 Interior and exterior problems 114 3.4.3 Direct and indirect boundary element method 116 3.4.4 Boundary element matrices 120 3.5 Example: Sloshing modes 121 3.5.1 Circular reservoir with fluid free surface 121 3.5.2 2D axi-symmetric elements with gravity 124 3.5.3 Sloshing modes 126 3.6 Example: Acoustic modes in an open reservoir 128 3.6.1 Cylindrical acoustic opened cavity 128 3.6.2 2D axi-symmetric elements with compressibility 129 3.6.3 Acoustic modes 130 3.7 Example: Acoustic modes in a closed reservoir 132 3.7.1 Rectangular acoustic closed cavity 132 3.7.2 2D fluid elements with compressibility 134 3.7.3 Acoustic modes 134 3.8 Example: Acoustic radiation in infinite fluid 135 3.8.1 Pulsating ring in infinite acoustic fluid 135 3.8.2 1D axi-symmetric element with radiation condition 137 3.8.3 1D boundary elements 138 3.8.4 Acoustic radiation 141 References 146 4 Inertial Coupling 149 4.1 Mathematical modelling 150 4.2 Added mass matrix 152 4.2.1 Coupling matrix 152 4.2.2 Added mass matrix 154 4.2.3 Inertial effect 156 4.3 Modelling inertial coupling for complex systems: example of tube bundle 163 4.3.1 Analytical models for added mass 164 4.3.2 'Term-to-term' computation of the added mass matrix 164 4.3.3 A homogenisation technique 167 4.4 Examples : inertial effect in bounded domain 178 4.4.1 Analytical calculation of the added mass matrix 178 4.4.2 Numerical computation of the added mass matrix 185 4.5 Example: inertial effect in unbounded domain 191 4.5.1 Elastic ring immersed in a fluid 191 4.5.2 Finite element coupling with infinite element 194 References 200 5 Fluid-Structure Coupling 203 5.1 Modelling assumption 204 5.2 Interior problems: vibro-acoustic and hydro-elastic coupling 205 5.2.1 Non-symmetric formulation 205 5.2.2 Symmetric formulation 208 5.3 Exterior problem: vibro-acoustic 217 5.4 Example: vibro-acoustic coupling and hydro-elastic sloshing 223 5.5 Example: Acoustic damping 231 5.5.1 Analytical modelling 231 5.5.2 Numerical computation 235 References 245 6 Structural Dynamics with Fluid-Structure Interaction 247 6.1 Introduction 248 6.2 Time-domain analysis 250 6.2.1 Direct methods 250 6.2.2 Modal methods 261 6.3 Frequency-domain analysis 271 6.3.1 Direct and modal methods 271 6.3.2 Computation of the projection basis 273 6.4 Example: time-domain analysis 278 6.4.1 Accelerated cantilever beam with fluid coupling 278 6.4.2 System and excitation spectra 281 6.4.3 Seismic response: Direct and modal methods 283 6.5 Example: frequency-domain analysis 289 6.5.1 Acoustic radiation of a damped structure immersed in a fluid 289 6.5.2 Frequency response: Direct and modal methods 293 References 304 Index 307.
Record Nr. UNINA-9910810481503321
Sigrist Jean-Francois  
Chichester, England : , : Wiley, , 2015
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Guided waves in structures for SHM [[electronic resource] ] : the time-domain spectral element method / / [edited by] Wieslaw Ostachowicz ... [et al.]
Guided waves in structures for SHM [[electronic resource] ] : the time-domain spectral element method / / [edited by] Wieslaw Ostachowicz ... [et al.]
Edizione [2nd ed.]
Pubbl/distr/stampa Chichester, West Sussex ; ; Hoboken, NJ, : Wiley, 2012
Descrizione fisica 1 online resource (351 p.)
Disciplina 531/.1133
Altri autori (Persone) OstachowiczW. M (Wiesław M.)
Soggetto topico Elastic analysis (Engineering)
Elastic wave propagation - Mathematical models
Composite materials - Analysis
Finite element method
ISBN 1-119-96674-4
1-283-40979-8
9786613409799
1-119-96585-3
1-119-96586-1
Classificazione SCI041000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Guided Waves in Structures for SHM; Contents; Preface; 1 Introduction to the Theory of Elastic Waves; 1.1 Elastic Waves; 1.1.1 Longitudinal Waves (Compressional/Pressure/Primary/P Waves); 1.1.2 Shear Waves (Transverse/Secondary/S Waves); 1.1.3 Rayleigh Waves; 1.1.4 Love Waves; 1.1.5 Lamb Waves; 1.2 Basic Definitions; 1.3 Bulk Waves in Three-Dimensional Media; 1.3.1 Isotropic Media; 1.3.2 Christoffel Equations for Anisotropic Media; 1.3.3 Potential Method; 1.4 Plane Waves; 1.4.1 Surface Waves; 1.4.2 Derivation of Lamb Wave Equations
1.4.3 Numerical Solution of Rayleigh-Lamb Frequency Equations1.4.4 Distribution of Displacements and Stresses for Various Frequencies of Lamb Waves; 1.4.5 Shear Horizontal Waves; 1.5 Wave Propagation in One-Dimensional Bodies of Circular Cross-Section; 1.5.1 Equations of Motion; 1.5.2 Longitudinal Waves; 1.5.3 Solution of Pochhammer Frequency Equation; 1.5.4 Torsional Waves; 1.5.5 Flexural Waves; References; 2 Spectral Finite Element Method; 2.1 Shape Functions in the Spectral Finite Element Method; 2.1.1 Lobatto Polynomials; 2.1.2 Chebyshev Polynomials; 2.1.3 Laguerre Polynomials
2.2 Approximating Displacement, Strain and Stress Fields2.3 Equations of Motion of a Body Discretised Using Spectral Finite Elements; 2.4 Computing Characteristic Matrices of Spectral Finite Elements; 2.4.1 Lobatto Quadrature; 2.4.2 Gauss Quadrature; 2.4.3 Gauss-Laguerre Quadrature; 2.5 Solving Equations of Motion of a Body Discretised Using Spectral Finite Elements; 2.5.1 Forcing with an Harmonic Signal; 2.5.2 Forcing with a Periodic Signal; 2.5.3 Forcing with a Nonperiodic Signal; References; 3 Three-Dimensional Laser Vibrometry; 3.1 Review of Elastic Wave Generation Methods
3.1.1 Force Impulse Methods3.1.2 Ultrasonic Methods; 3.1.3 Methods Based on the Electromagnetic Effect; 3.1.4 Methods Based on the Piezoelectric Effect; 3.1.5 Methods Based on the Magnetostrictive Effect; 3.1.6 Photothermal Methods; 3.2 Review of Elastic Wave Registration Methods; 3.2.1 Optical Methods; 3.3 Laser Vibrometry; 3.4 Analysis of Methods of Elastic Wave Generation and Registration; 3.5 Exemplary Results of Research on Elastic Wave Propagation Using 3D Laser Scanning Vibrometry; References; 4 One-Dimensional Structural Elements; 4.1 Theories of Rods
4.2 Displacement Fields of Structural Rod Elements4.3 Theories of Beams; 4.4 Displacement Fields of Structural Beam Elements; 4.5 Dispersion Curves; 4.6 Certain Numerical Considerations; 4.6.1 Natural Frequencies; 4.6.2 Wave Propagation; 4.7 Examples of Numerical Calculations; 4.7.1 Propagation of Longitudinal Elastic Waves in a Cracked Rod; 4.7.2 Propagation of Flexural Elastic Waves in a Rod; 4.7.3 Propagation of Coupled Longitudinal and Flexural Elastic Waves in a Rod; References; 5 Two-Dimensional Structural Elements; 5.1 Theories of Membranes, Plates and Shells
5.2 Displacement Fields of Structural Membrane Elements
Record Nr. UNINA-9910139730903321
Chichester, West Sussex ; ; Hoboken, NJ, : Wiley, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Guided waves in structures for SHM [[electronic resource] ] : the time-domain spectral element method / / [edited by] Wieslaw Ostachowicz ... [et al.]
Guided waves in structures for SHM [[electronic resource] ] : the time-domain spectral element method / / [edited by] Wieslaw Ostachowicz ... [et al.]
Edizione [2nd ed.]
Pubbl/distr/stampa Chichester, West Sussex ; ; Hoboken, NJ, : Wiley, 2012
Descrizione fisica 1 online resource (351 p.)
Disciplina 531/.1133
Altri autori (Persone) OstachowiczW. M (Wiesław M.)
Soggetto topico Elastic analysis (Engineering)
Elastic wave propagation - Mathematical models
Composite materials - Analysis
Finite element method
ISBN 1-119-96674-4
1-283-40979-8
9786613409799
1-119-96585-3
1-119-96586-1
Classificazione SCI041000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Guided Waves in Structures for SHM; Contents; Preface; 1 Introduction to the Theory of Elastic Waves; 1.1 Elastic Waves; 1.1.1 Longitudinal Waves (Compressional/Pressure/Primary/P Waves); 1.1.2 Shear Waves (Transverse/Secondary/S Waves); 1.1.3 Rayleigh Waves; 1.1.4 Love Waves; 1.1.5 Lamb Waves; 1.2 Basic Definitions; 1.3 Bulk Waves in Three-Dimensional Media; 1.3.1 Isotropic Media; 1.3.2 Christoffel Equations for Anisotropic Media; 1.3.3 Potential Method; 1.4 Plane Waves; 1.4.1 Surface Waves; 1.4.2 Derivation of Lamb Wave Equations
1.4.3 Numerical Solution of Rayleigh-Lamb Frequency Equations1.4.4 Distribution of Displacements and Stresses for Various Frequencies of Lamb Waves; 1.4.5 Shear Horizontal Waves; 1.5 Wave Propagation in One-Dimensional Bodies of Circular Cross-Section; 1.5.1 Equations of Motion; 1.5.2 Longitudinal Waves; 1.5.3 Solution of Pochhammer Frequency Equation; 1.5.4 Torsional Waves; 1.5.5 Flexural Waves; References; 2 Spectral Finite Element Method; 2.1 Shape Functions in the Spectral Finite Element Method; 2.1.1 Lobatto Polynomials; 2.1.2 Chebyshev Polynomials; 2.1.3 Laguerre Polynomials
2.2 Approximating Displacement, Strain and Stress Fields2.3 Equations of Motion of a Body Discretised Using Spectral Finite Elements; 2.4 Computing Characteristic Matrices of Spectral Finite Elements; 2.4.1 Lobatto Quadrature; 2.4.2 Gauss Quadrature; 2.4.3 Gauss-Laguerre Quadrature; 2.5 Solving Equations of Motion of a Body Discretised Using Spectral Finite Elements; 2.5.1 Forcing with an Harmonic Signal; 2.5.2 Forcing with a Periodic Signal; 2.5.3 Forcing with a Nonperiodic Signal; References; 3 Three-Dimensional Laser Vibrometry; 3.1 Review of Elastic Wave Generation Methods
3.1.1 Force Impulse Methods3.1.2 Ultrasonic Methods; 3.1.3 Methods Based on the Electromagnetic Effect; 3.1.4 Methods Based on the Piezoelectric Effect; 3.1.5 Methods Based on the Magnetostrictive Effect; 3.1.6 Photothermal Methods; 3.2 Review of Elastic Wave Registration Methods; 3.2.1 Optical Methods; 3.3 Laser Vibrometry; 3.4 Analysis of Methods of Elastic Wave Generation and Registration; 3.5 Exemplary Results of Research on Elastic Wave Propagation Using 3D Laser Scanning Vibrometry; References; 4 One-Dimensional Structural Elements; 4.1 Theories of Rods
4.2 Displacement Fields of Structural Rod Elements4.3 Theories of Beams; 4.4 Displacement Fields of Structural Beam Elements; 4.5 Dispersion Curves; 4.6 Certain Numerical Considerations; 4.6.1 Natural Frequencies; 4.6.2 Wave Propagation; 4.7 Examples of Numerical Calculations; 4.7.1 Propagation of Longitudinal Elastic Waves in a Cracked Rod; 4.7.2 Propagation of Flexural Elastic Waves in a Rod; 4.7.3 Propagation of Coupled Longitudinal and Flexural Elastic Waves in a Rod; References; 5 Two-Dimensional Structural Elements; 5.1 Theories of Membranes, Plates and Shells
5.2 Displacement Fields of Structural Membrane Elements
Record Nr. UNINA-9910822391003321
Chichester, West Sussex ; ; Hoboken, NJ, : Wiley, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Hilbert transform applications in mechanical vibration [[electronic resource] /] / Michael Feldman
Hilbert transform applications in mechanical vibration [[electronic resource] /] / Michael Feldman
Autore Feldman Michael <1951->
Pubbl/distr/stampa Chichester, : Wiley, 2011
Descrizione fisica xxvii, 292 p. : ill
Disciplina 620.301/515723
Soggetto topico Vibration - Mathematical models
Hilbert transform
ISBN 1-119-99165-X
1-283-40537-7
1-119-99164-1
9786613405371
1-119-99152-8
Classificazione SCI041000
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910208827803321
Feldman Michael <1951->  
Chichester, : Wiley, 2011
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui