top

  Info

  • Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.

  Info

  • Utilizzare questo link per rimuovere la selezione effettuata.

Biblioteca

MARC Lista (tabellare)
Fractional calculus with applications in mechanics : wave propagation, impact and variational principles / / Teodor M. Atanacković [and three others] ; series editor, Noël Challamel
Fractional calculus with applications in mechanics : wave propagation, impact and variational principles / / Teodor M. Atanacković [and three others] ; series editor, Noël Challamel
Pubbl/distr/stampa London ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2014
Descrizione fisica 1 online resource (424 p.)
Disciplina 515
Altri autori (Persone) AtanackovićTeodor M
ChallamelNoël
Collana Mechanical Engineering and Solid Mechanics Series
Soggetto topico Calculus
Fractional calculus
Viscoelasticity - Mathematical models
Waves - Mathematical models
ISBN 1-118-90913-5
1-118-90906-2
1-118-90901-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Title Page; Contents; Preface; PART 1. MATHEMATICAL PRELIMINARIES, DEFINITIONS AND PROPERTIES OF FRACTIONAL INTEGRALS AND DERIVATIVES; Chapter 1. Mathematical Preliminaries; 1.1. Notation and definitions; 1.2. Laplace transform of a function; 1.3. Spaces of distributions; 1.4. Fundamental solution; 1.5. Some special functions; Chapter 2. Basic Definitions and Properties of Fractional Integrals and Derivatives; 2.1. Definitions of fractional integrals and derivatives; 2.1.1. Riemann-Liouville fractional integrals and derivatives
2.1.1.1. Laplace transform of Riemann-Liouville fractional integrals and derivatives2.1.2. Riemann-Liouville fractional integrals and derivatives on the real half-axis; 2.1.3. Caputo fractional derivatives; 2.1.4. Riesz potentials and Riesz derivatives; 2.1.5. Symmetrized Caputo derivative; 2.1.6. Other types of fractional derivatives; 2.1.6.1. Canavati fractional derivative; 2.1.6.2. Marchaud fractional derivatives; 2.1.6.3. Grünwald-Letnikov fractional derivatives; 2.2. Some additional properties of fractional derivatives; 2.2.1. Fermat theorem for fractional derivative
2.2.2. Taylor theorem for fractional derivatives2.3. Fractional derivatives in distributional setting; 2.3.1. Definition of the fractional integral and derivative; 2.3.2. Dependence of fractional derivative on order; 2.3.3. Distributed-order fractional derivative; PART 2. MECHANICAL SYSTEMS; Chapter 3. Waves in Viscoelastic Materials of Fractional-Order Type; 3.1. Time-fractional wave equation on unbounded domain; 3.1.1. Time-fractional Zener wave equation; 3.1.2. Time-fractional general linear wave equation; 3.1.3. Numerical examples; 3.1.3.1. Case of time-fractional Zener wave equation
3.1.3.2. Case of time-fractional general linear wave equation3.2. Wave equation of the fractional Eringen-type; 3.3. Space-fractional wave equation on unbounded domain; 3.3.1. Solution to Cauchy problem for space-fractional wave equation; 3.3.1.1. Limiting case ß -> 1; 3.3.1.2. Case u0(x)...; 3.3.1.3. Case u0 (x)...; 3.3.1.4. Case u0(x)...; 3.3.2. Solution to Cauchy problem for fractionally damped space-fractional wave equation; 3.4. Stress relaxation, creep and forced oscillations of a viscoelastic rod; 3.4.1. Formal solution to systems [3.110]-[3.112], [3.113] and either [3.114] or [3.115]
3.4.1.1. Displacement of rod's end Υ is prescribed by [3.120]3.4.1.2. Stress at rod's end Σ is prescribed by [3.121]; 3.4.2. Case of solid-like viscoelastic body; 3.4.2.1. Determination of the displacement u in a stress relaxation test; 3.4.2.2. Case Υ = Υ0H + F; 3.4.2.3. Determination of the stress s in a stress relaxation test; 3.4.2.4. Determination of displacement u in the case of prescribed stress; 3.4.2.5. Numerical examples; 3.4.3. Case of fluid-like viscoelastic body; 3.4.3.1. Determination of the displacement u in a stress relaxation test
3.4.3.2. Determination of the stress σ in a stress relaxation test
Record Nr. UNISA-996211734903316
London ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2014
Materiale a stampa
Lo trovi qui: Univ. di Salerno
Opac: Controlla la disponibilità qui
Fractional calculus with applications in mechanics : wave propagation, impact and variational principles / / Teodor M. Atanacković [and three others] ; series editor, Noël Challamel
Fractional calculus with applications in mechanics : wave propagation, impact and variational principles / / Teodor M. Atanacković [and three others] ; series editor, Noël Challamel
Pubbl/distr/stampa London ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2014
Descrizione fisica 1 online resource (424 p.)
Disciplina 515
Altri autori (Persone) AtanackovićTeodor M
ChallamelNoël
Collana Mechanical Engineering and Solid Mechanics Series
Soggetto topico Calculus
Fractional calculus
Viscoelasticity - Mathematical models
Waves - Mathematical models
ISBN 1-118-90913-5
1-118-90906-2
1-118-90901-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Title Page; Contents; Preface; PART 1. MATHEMATICAL PRELIMINARIES, DEFINITIONS AND PROPERTIES OF FRACTIONAL INTEGRALS AND DERIVATIVES; Chapter 1. Mathematical Preliminaries; 1.1. Notation and definitions; 1.2. Laplace transform of a function; 1.3. Spaces of distributions; 1.4. Fundamental solution; 1.5. Some special functions; Chapter 2. Basic Definitions and Properties of Fractional Integrals and Derivatives; 2.1. Definitions of fractional integrals and derivatives; 2.1.1. Riemann-Liouville fractional integrals and derivatives
2.1.1.1. Laplace transform of Riemann-Liouville fractional integrals and derivatives2.1.2. Riemann-Liouville fractional integrals and derivatives on the real half-axis; 2.1.3. Caputo fractional derivatives; 2.1.4. Riesz potentials and Riesz derivatives; 2.1.5. Symmetrized Caputo derivative; 2.1.6. Other types of fractional derivatives; 2.1.6.1. Canavati fractional derivative; 2.1.6.2. Marchaud fractional derivatives; 2.1.6.3. Grünwald-Letnikov fractional derivatives; 2.2. Some additional properties of fractional derivatives; 2.2.1. Fermat theorem for fractional derivative
2.2.2. Taylor theorem for fractional derivatives2.3. Fractional derivatives in distributional setting; 2.3.1. Definition of the fractional integral and derivative; 2.3.2. Dependence of fractional derivative on order; 2.3.3. Distributed-order fractional derivative; PART 2. MECHANICAL SYSTEMS; Chapter 3. Waves in Viscoelastic Materials of Fractional-Order Type; 3.1. Time-fractional wave equation on unbounded domain; 3.1.1. Time-fractional Zener wave equation; 3.1.2. Time-fractional general linear wave equation; 3.1.3. Numerical examples; 3.1.3.1. Case of time-fractional Zener wave equation
3.1.3.2. Case of time-fractional general linear wave equation3.2. Wave equation of the fractional Eringen-type; 3.3. Space-fractional wave equation on unbounded domain; 3.3.1. Solution to Cauchy problem for space-fractional wave equation; 3.3.1.1. Limiting case ß -> 1; 3.3.1.2. Case u0(x)...; 3.3.1.3. Case u0 (x)...; 3.3.1.4. Case u0(x)...; 3.3.2. Solution to Cauchy problem for fractionally damped space-fractional wave equation; 3.4. Stress relaxation, creep and forced oscillations of a viscoelastic rod; 3.4.1. Formal solution to systems [3.110]-[3.112], [3.113] and either [3.114] or [3.115]
3.4.1.1. Displacement of rod's end Υ is prescribed by [3.120]3.4.1.2. Stress at rod's end Σ is prescribed by [3.121]; 3.4.2. Case of solid-like viscoelastic body; 3.4.2.1. Determination of the displacement u in a stress relaxation test; 3.4.2.2. Case Υ = Υ0H + F; 3.4.2.3. Determination of the stress s in a stress relaxation test; 3.4.2.4. Determination of displacement u in the case of prescribed stress; 3.4.2.5. Numerical examples; 3.4.3. Case of fluid-like viscoelastic body; 3.4.3.1. Determination of the displacement u in a stress relaxation test
3.4.3.2. Determination of the stress σ in a stress relaxation test
Record Nr. UNINA-9910140286903321
London ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Fractional calculus with applications in mechanics : wave propagation, impact and variational principles / / Teodor M. Atanacković [and three others] ; series editor, Noël Challamel
Fractional calculus with applications in mechanics : wave propagation, impact and variational principles / / Teodor M. Atanacković [and three others] ; series editor, Noël Challamel
Pubbl/distr/stampa London ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2014
Descrizione fisica 1 online resource (424 p.)
Disciplina 515
Altri autori (Persone) AtanackovićTeodor M
ChallamelNoël
Collana Mechanical Engineering and Solid Mechanics Series
Soggetto topico Calculus
Fractional calculus
Viscoelasticity - Mathematical models
Waves - Mathematical models
ISBN 1-118-90913-5
1-118-90906-2
1-118-90901-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Title Page; Contents; Preface; PART 1. MATHEMATICAL PRELIMINARIES, DEFINITIONS AND PROPERTIES OF FRACTIONAL INTEGRALS AND DERIVATIVES; Chapter 1. Mathematical Preliminaries; 1.1. Notation and definitions; 1.2. Laplace transform of a function; 1.3. Spaces of distributions; 1.4. Fundamental solution; 1.5. Some special functions; Chapter 2. Basic Definitions and Properties of Fractional Integrals and Derivatives; 2.1. Definitions of fractional integrals and derivatives; 2.1.1. Riemann-Liouville fractional integrals and derivatives
2.1.1.1. Laplace transform of Riemann-Liouville fractional integrals and derivatives2.1.2. Riemann-Liouville fractional integrals and derivatives on the real half-axis; 2.1.3. Caputo fractional derivatives; 2.1.4. Riesz potentials and Riesz derivatives; 2.1.5. Symmetrized Caputo derivative; 2.1.6. Other types of fractional derivatives; 2.1.6.1. Canavati fractional derivative; 2.1.6.2. Marchaud fractional derivatives; 2.1.6.3. Grünwald-Letnikov fractional derivatives; 2.2. Some additional properties of fractional derivatives; 2.2.1. Fermat theorem for fractional derivative
2.2.2. Taylor theorem for fractional derivatives2.3. Fractional derivatives in distributional setting; 2.3.1. Definition of the fractional integral and derivative; 2.3.2. Dependence of fractional derivative on order; 2.3.3. Distributed-order fractional derivative; PART 2. MECHANICAL SYSTEMS; Chapter 3. Waves in Viscoelastic Materials of Fractional-Order Type; 3.1. Time-fractional wave equation on unbounded domain; 3.1.1. Time-fractional Zener wave equation; 3.1.2. Time-fractional general linear wave equation; 3.1.3. Numerical examples; 3.1.3.1. Case of time-fractional Zener wave equation
3.1.3.2. Case of time-fractional general linear wave equation3.2. Wave equation of the fractional Eringen-type; 3.3. Space-fractional wave equation on unbounded domain; 3.3.1. Solution to Cauchy problem for space-fractional wave equation; 3.3.1.1. Limiting case ß -> 1; 3.3.1.2. Case u0(x)...; 3.3.1.3. Case u0 (x)...; 3.3.1.4. Case u0(x)...; 3.3.2. Solution to Cauchy problem for fractionally damped space-fractional wave equation; 3.4. Stress relaxation, creep and forced oscillations of a viscoelastic rod; 3.4.1. Formal solution to systems [3.110]-[3.112], [3.113] and either [3.114] or [3.115]
3.4.1.1. Displacement of rod's end Υ is prescribed by [3.120]3.4.1.2. Stress at rod's end Σ is prescribed by [3.121]; 3.4.2. Case of solid-like viscoelastic body; 3.4.2.1. Determination of the displacement u in a stress relaxation test; 3.4.2.2. Case Υ = Υ0H + F; 3.4.2.3. Determination of the stress s in a stress relaxation test; 3.4.2.4. Determination of displacement u in the case of prescribed stress; 3.4.2.5. Numerical examples; 3.4.3. Case of fluid-like viscoelastic body; 3.4.3.1. Determination of the displacement u in a stress relaxation test
3.4.3.2. Determination of the stress σ in a stress relaxation test
Record Nr. UNINA-9910807155803321
London ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , 2014
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Mathematical models of beams and cables / / Angelo Luongo, Daniele Zulli ; series editor, Noël Challamel
Mathematical models of beams and cables / / Angelo Luongo, Daniele Zulli ; series editor, Noël Challamel
Autore Luongo Angela
Pubbl/distr/stampa London, England ; ; Hoboken, New Jersey : , : Wiley, , 2013
Descrizione fisica 1 online resource (379 p.)
Disciplina 624.1772
Altri autori (Persone) ChallamelNoël
Collana Mechanical engineering and solid mechanics series
Soggetto topico Structural analysis (Engineering) - Mathematical models
Girders
Cables
ISBN 1-118-57755-8
1-118-57763-9
1-118-57764-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Title page; Contents; Preface; Introduction; List of Main Symbols; Chapter 1. A One-Dimensional Beam Metamodel; 1.1. Models and metamodel; 1.2. Internally unconstrained beams; 1.2.1. Kinematics; 1.2.2. Dynamics; 1.2.3. The hyperelastic law; 1.2.4. The Fundamental Problem; 1.3. Internally constrained beams; 1.3.1. The mixed formulation for the internally constrained beam kinematics and constraints; 1.3.2. The displacement method for the internally constrained beam; 1.4. Internally unconstrained prestressed beams; 1.4.1. The nonlinear theory; 1.4.2. The linearized theory
1.5. Internally constrained prestressed beams1.5.1. The nonlinear mixed formulation; 1.5.2. The linearized mixed formulation; 1.5.3. The nonlinear displacement formulation; 1.5.4. The linearized displacement formulation; 1.6. The variational formulation; 1.6.1. The total potential energy principle; 1.6.2. Unconstrained beams; 1.6.3. Constrained beams; 1.6.4. Unconstrained prestressed beams; 1.6.5. Constrained prestressed beams; 1.7. Example: the linear Timoshenko beam; 1.8. Summary; Chapter 2. Straight Beams; 2.1. Kinematics; 2.1.1. The displacement and rotation fields
2.1.2. Tackling the rotation tensor2.1.3. The geometric boundary conditions; 2.1.4. The strain vector; 2.1.5. The curvature vector; 2.1.6. The strain-displacement relationships; 2.1.7. The velocity and spin fields; 2.1.8. The velocity gradients and strain-rates; 2.2. Dynamics; 2.2.1. The balance of virtual powers; 2.2.2. The inertial contributions; 2.2.3. The balance of momentum; 2.2.4. The scalar forms of the balance equations and boundary conditions; 2.2.5. The Lagrangian balance equations; 2.3. Constitutive law; 2.3.1. The hyperelastic law
2.3.2. Identification of the elastic law from a 3D-model2.3.3. Homogenization of beam-like structures; 2.3.4. Linear viscoelastic laws; 2.4. The Fundamental Problem; 2.4.1. Exact equations; 2.4.2. The linearized theory for elastic prestressed beams; 2.5. The planar beam; 2.5.1. Kinematics; 2.5.2. Dynamics; 2.5.3. The Virtual Power Principle; 2.5.4. Constitutive laws; 2.5.5. The Fundamental Problem; 2.6. Summary; Chapter 3. Curved Beams; 3.1. The reference configuration and the initial curvature; 3.2. The beam model in the 3D-space; 3.2.1. Kinematics; 3.2.2. Dynamics; 3.2.3. The elastic law
3.2.4. The Fundamental Problem3.3. The planar curved beam; 3.3.1. Kinematics; 3.3.2. Dynamics; 3.3.3. The Virtual Power Principle; 3.3.4. Constitutive law; 3.3.5. Fundamental Problem; 3.4. Summary; Chapter 4. Internally Constrained Beams; 4.1. Stiff beams and internal constraints; 4.2. The general approach; 4.3. The unshearable straight beam in 3D; 4.3.1. The mixed formulation; 4.3.2. The displacement formulation; 4.4. The unshearable straight planar beam; 4.5. The inextensible and unshearable straight beam in 3D; 4.5.1. Hybrid formulation: Version I; 4.5.2. Hybrid formulation: Version II
4.6. The inextensible and unshearable straight planar beam
Record Nr. UNINA-9910140187703321
Luongo Angela  
London, England ; ; Hoboken, New Jersey : , : Wiley, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Mathematical models of beams and cables / / Angelo Luongo, Daniele Zulli ; series editor, Noël Challamel
Mathematical models of beams and cables / / Angelo Luongo, Daniele Zulli ; series editor, Noël Challamel
Autore Luongo Angela
Pubbl/distr/stampa London, England ; ; Hoboken, New Jersey : , : Wiley, , 2013
Descrizione fisica 1 online resource (379 p.)
Disciplina 624.1772
Altri autori (Persone) ChallamelNoël
Collana Mechanical engineering and solid mechanics series
Soggetto topico Structural analysis (Engineering) - Mathematical models
Girders
Cables
ISBN 1-118-57755-8
1-118-57763-9
1-118-57764-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover; Title page; Contents; Preface; Introduction; List of Main Symbols; Chapter 1. A One-Dimensional Beam Metamodel; 1.1. Models and metamodel; 1.2. Internally unconstrained beams; 1.2.1. Kinematics; 1.2.2. Dynamics; 1.2.3. The hyperelastic law; 1.2.4. The Fundamental Problem; 1.3. Internally constrained beams; 1.3.1. The mixed formulation for the internally constrained beam kinematics and constraints; 1.3.2. The displacement method for the internally constrained beam; 1.4. Internally unconstrained prestressed beams; 1.4.1. The nonlinear theory; 1.4.2. The linearized theory
1.5. Internally constrained prestressed beams1.5.1. The nonlinear mixed formulation; 1.5.2. The linearized mixed formulation; 1.5.3. The nonlinear displacement formulation; 1.5.4. The linearized displacement formulation; 1.6. The variational formulation; 1.6.1. The total potential energy principle; 1.6.2. Unconstrained beams; 1.6.3. Constrained beams; 1.6.4. Unconstrained prestressed beams; 1.6.5. Constrained prestressed beams; 1.7. Example: the linear Timoshenko beam; 1.8. Summary; Chapter 2. Straight Beams; 2.1. Kinematics; 2.1.1. The displacement and rotation fields
2.1.2. Tackling the rotation tensor2.1.3. The geometric boundary conditions; 2.1.4. The strain vector; 2.1.5. The curvature vector; 2.1.6. The strain-displacement relationships; 2.1.7. The velocity and spin fields; 2.1.8. The velocity gradients and strain-rates; 2.2. Dynamics; 2.2.1. The balance of virtual powers; 2.2.2. The inertial contributions; 2.2.3. The balance of momentum; 2.2.4. The scalar forms of the balance equations and boundary conditions; 2.2.5. The Lagrangian balance equations; 2.3. Constitutive law; 2.3.1. The hyperelastic law
2.3.2. Identification of the elastic law from a 3D-model2.3.3. Homogenization of beam-like structures; 2.3.4. Linear viscoelastic laws; 2.4. The Fundamental Problem; 2.4.1. Exact equations; 2.4.2. The linearized theory for elastic prestressed beams; 2.5. The planar beam; 2.5.1. Kinematics; 2.5.2. Dynamics; 2.5.3. The Virtual Power Principle; 2.5.4. Constitutive laws; 2.5.5. The Fundamental Problem; 2.6. Summary; Chapter 3. Curved Beams; 3.1. The reference configuration and the initial curvature; 3.2. The beam model in the 3D-space; 3.2.1. Kinematics; 3.2.2. Dynamics; 3.2.3. The elastic law
3.2.4. The Fundamental Problem3.3. The planar curved beam; 3.3.1. Kinematics; 3.3.2. Dynamics; 3.3.3. The Virtual Power Principle; 3.3.4. Constitutive law; 3.3.5. Fundamental Problem; 3.4. Summary; Chapter 4. Internally Constrained Beams; 4.1. Stiff beams and internal constraints; 4.2. The general approach; 4.3. The unshearable straight beam in 3D; 4.3.1. The mixed formulation; 4.3.2. The displacement formulation; 4.4. The unshearable straight planar beam; 4.5. The inextensible and unshearable straight beam in 3D; 4.5.1. Hybrid formulation: Version I; 4.5.2. Hybrid formulation: Version II
4.6. The inextensible and unshearable straight planar beam
Record Nr. UNINA-9910807702703321
Luongo Angela  
London, England ; ; Hoboken, New Jersey : , : Wiley, , 2013
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Modern trends in structural and solid mechanics . 2 Vibrations / / edited by Noël Challamel, Julius Kaplunov, Izuru Takewaki
Modern trends in structural and solid mechanics . 2 Vibrations / / edited by Noël Challamel, Julius Kaplunov, Izuru Takewaki
Pubbl/distr/stampa London, England ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , [2021]
Descrizione fisica 1 online resource (291 pages)
Disciplina 620.3
Collana Mechanical Engineering and Solid Mechanics Series
Soggetto topico Vibration
Structural analysis (Engineering)
Mechanics, Applied
Soggetto genere / forma Electronic books.
ISBN 1-5231-4361-4
1-119-83185-7
1-119-83186-5
1-119-83184-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910555299003321
London, England ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Modern trends in structural and solid mechanics . 1 Statics and stability / / edited by Noël Challamel, Julius Kaplunov, Izuru Takewaki
Modern trends in structural and solid mechanics . 1 Statics and stability / / edited by Noël Challamel, Julius Kaplunov, Izuru Takewaki
Pubbl/distr/stampa London, England ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , [2021]
Descrizione fisica 1 online resource (305 pages)
Disciplina 624.171
Collana Mechanical Engineering and Solid Mechanics Series
Soggetto topico Structural analysis (Engineering)
Statics
Soggetto genere / forma Electronic books.
ISBN 1-5231-4360-6
1-119-83188-1
1-119-83189-X
1-119-83187-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover -- Half-Title Page -- Title Page -- Copyright Page -- Contents -- Preface: Short Bibliographical Presentation of Prof. Isaac Elishakoff -- Books by Elishakoff -- Books edited or co-edited by Elishakoff -- 1 Static Deformations of Fiber-Reinforced Composite Laminates by the Least-Squares Method -- 1.1. Introduction -- 1.2. Formulation of the problem -- 1.3. Results and discussion -- 1.3.1. Verification of the numerical algorithm -- 1.3.2. Simply supported sandwich plate -- 1.3.3. Laminate with arbitrary boundary conditions -- 1.4. Remarks -- 1.5. Conclusion -- 1.6. Acknowledgments -- 1.7. References -- 2 Stability of Laterally Compressed Elastic Chains -- 2.1. Introduction -- 2.2. Compression of stacked elastic sheets -- 2.3. Stability of an elastically coupled cyclic chain -- 2.4. Elastic stability of two coupled rods with disorder -- 2.5. Spatial localization of lateral buckling in a disordered chain of elastically coupled rigid rods -- 2.6. Conclusion -- 2.7. References -- 3 Analysis of a Beck's Column over Fractional-Order Restraints via Extended Routh-Hurwitz Theorem -- 3.1. Introduction -- 3.2. Material hereditariness -- 3.2.1. Linear hereditariness: fractional-order models -- 3.3. Dynamic equilibrium of an elastic cantilever over a fractional-order foundation -- 3.4. Stability analysis of Beck's column over fractional-order hereditary foundation -- 3.4.1. The characteristic polynomial -- 3.4.2. State-space representation of the dynamic equilibrium equation -- 3.4.3. Stability analysis of fractional-order Beck's column via the extended Routh-Hurwitz criterion -- 3.5. Numerical application -- 3.6. Conclusion -- 3.7. References -- 4 Localization in the Static Response of Higher-Order Lattices with Long-Range Interactions -- 4.1. Introduction -- 4.2. Two-neighbor interaction - general formulation - homogeneous solution.
4.3. Two-neighbor interaction - localization in a weakened problem -- 4.4. Conclusion -- 4.5. References -- 5 New Analytic Solutions for Elastic Buckling of Isotropic Plates -- 5.1. Introduction -- 5.2. Equilibrium equation -- 5.3. Solution -- 5.4. Boundary condition -- 5.5. Numerical results -- 5.6. Conclusion -- 5.7. Appendix A: Deflection, slopes, bending moments and shears -- 5.8. Appendix B: Function transformation -- 5.9. References -- 6 Buckling and Post-Buckling of Parabolic Arches with Local Damage -- 6.1. Introduction -- 6.2. A one-dimensional model for arches -- 6.2.1. Finite kinematics and balance, linear elastic law -- 6.2.2. Non-trivial fundamental equilibrium path -- 6.2.3. Bifurcated path -- 6.2.4. Special benchmark examples -- 6.3. Parabolic arches -- 6.4. Crack models for one-dimensional elements -- 6.5. An application -- 6.5.1. A comparison -- 6.6. Final remarks -- 6.7. Acknowledgments -- 6.8. References -- 7 Inelastic Microbuckling of Composites by Wave-Buckling Analogy -- 7.1. Introduction -- 7.2. Buckling-wave propagation analogy -- 7.3. Microbuckling in elastic orthotropic composites -- 7.4. Inelastic microbuckling -- 7.5. Results and discussion -- 7.6. References -- 8 Quasi-Bifurcation of Discrete Systems with Unstable Post-Critical Behavior under Impulsive Loads -- 8.1. Introduction -- 8.2. Case study of a two DOF system with unstable static behavior -- 8.3. Exploring the static and dynamic behavior of the two DOF system -- 8.4. The dynamic stability criterion due to Lee -- 8.5. New stability bounds following Lee's approach -- 8.6. Conclusion -- 8.7. Acknowledgments -- 8.8. References -- 9 Singularly Perturbed Problems of Drill String Buckling in Deep Curvilinear Borehole Channels -- 9.1. Introduction -- 9.2. Singular perturbation theory: elements and history.
9.3. Posing the problem of a drill string buckling in the curvilinear borehole -- 9.4. Modeling the drill string buckling in lowering operation -- 9.5. References -- 10 Shape-optimized Cantilevered Columns under a Rocket-based Follower Force -- 10.1. Background -- 10.2. Aims -- 10.3. Numerical analysis -- 10.3.1. Stability analysis -- 10.3.2. Optimum design -- 10.4. Experiment -- 10.4.1. General description -- 10.4.2. Rocket motor -- 10.4.3. Columns -- 10.4.4. Free vibration test -- 10.5. Flutter test -- 10.6. Concluding remarks -- 10.7. Acknowledgments -- 10.8. Appendix -- 10.9. References -- 11 Hencky Bar-Chain Model for Buckling Analysis and Optimal Design of Trapezoidal Arches -- 11.1. Introduction -- 11.2. Buckling analysis of trapezoidal arches based on the HBM -- 11.2.1. Description of the HBM -- 11.2.2. HBM stiffness matrix formulation -- 11.2.3. Governing equation considering compatibility conditions -- 11.2.4. Verification of the HBM -- 11.3. Optimal design of symmetric trapezoidal arches -- 11.3.1. Problem definition -- 11.3.2. Optimization procedure -- 11.3.3. Optimal solutions -- 11.3.4. Sensitivity analysis of optimal solutions -- 11.3.5. Comparison with the buckling load of optimal fully stressed trapezoidal arches -- 11.4. Concluding remarks -- 11.5. References -- List of Authors -- Index -- Summary of Volume 2 -- Summary of Volume 3 -- Other titles from iSTE in Mechanical Engineering and Solid Mechanics -- EULA.
Record Nr. UNINA-9910555257403321
London, England ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Modern trends in structural and solid mechanics . 1 Statics and stability / / edited by Noël Challamel, Julius Kaplunov, Izuru Takewaki
Modern trends in structural and solid mechanics . 1 Statics and stability / / edited by Noël Challamel, Julius Kaplunov, Izuru Takewaki
Pubbl/distr/stampa London, England ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , [2021]
Descrizione fisica 1 online resource (305 pages)
Disciplina 624.171
Collana Mechanical Engineering and Solid Mechanics Series
Soggetto topico Structural analysis (Engineering)
Statics
ISBN 1-5231-4360-6
1-119-83188-1
1-119-83189-X
1-119-83187-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Cover -- Half-Title Page -- Title Page -- Copyright Page -- Contents -- Preface: Short Bibliographical Presentation of Prof. Isaac Elishakoff -- Books by Elishakoff -- Books edited or co-edited by Elishakoff -- 1 Static Deformations of Fiber-Reinforced Composite Laminates by the Least-Squares Method -- 1.1. Introduction -- 1.2. Formulation of the problem -- 1.3. Results and discussion -- 1.3.1. Verification of the numerical algorithm -- 1.3.2. Simply supported sandwich plate -- 1.3.3. Laminate with arbitrary boundary conditions -- 1.4. Remarks -- 1.5. Conclusion -- 1.6. Acknowledgments -- 1.7. References -- 2 Stability of Laterally Compressed Elastic Chains -- 2.1. Introduction -- 2.2. Compression of stacked elastic sheets -- 2.3. Stability of an elastically coupled cyclic chain -- 2.4. Elastic stability of two coupled rods with disorder -- 2.5. Spatial localization of lateral buckling in a disordered chain of elastically coupled rigid rods -- 2.6. Conclusion -- 2.7. References -- 3 Analysis of a Beck's Column over Fractional-Order Restraints via Extended Routh-Hurwitz Theorem -- 3.1. Introduction -- 3.2. Material hereditariness -- 3.2.1. Linear hereditariness: fractional-order models -- 3.3. Dynamic equilibrium of an elastic cantilever over a fractional-order foundation -- 3.4. Stability analysis of Beck's column over fractional-order hereditary foundation -- 3.4.1. The characteristic polynomial -- 3.4.2. State-space representation of the dynamic equilibrium equation -- 3.4.3. Stability analysis of fractional-order Beck's column via the extended Routh-Hurwitz criterion -- 3.5. Numerical application -- 3.6. Conclusion -- 3.7. References -- 4 Localization in the Static Response of Higher-Order Lattices with Long-Range Interactions -- 4.1. Introduction -- 4.2. Two-neighbor interaction - general formulation - homogeneous solution.
4.3. Two-neighbor interaction - localization in a weakened problem -- 4.4. Conclusion -- 4.5. References -- 5 New Analytic Solutions for Elastic Buckling of Isotropic Plates -- 5.1. Introduction -- 5.2. Equilibrium equation -- 5.3. Solution -- 5.4. Boundary condition -- 5.5. Numerical results -- 5.6. Conclusion -- 5.7. Appendix A: Deflection, slopes, bending moments and shears -- 5.8. Appendix B: Function transformation -- 5.9. References -- 6 Buckling and Post-Buckling of Parabolic Arches with Local Damage -- 6.1. Introduction -- 6.2. A one-dimensional model for arches -- 6.2.1. Finite kinematics and balance, linear elastic law -- 6.2.2. Non-trivial fundamental equilibrium path -- 6.2.3. Bifurcated path -- 6.2.4. Special benchmark examples -- 6.3. Parabolic arches -- 6.4. Crack models for one-dimensional elements -- 6.5. An application -- 6.5.1. A comparison -- 6.6. Final remarks -- 6.7. Acknowledgments -- 6.8. References -- 7 Inelastic Microbuckling of Composites by Wave-Buckling Analogy -- 7.1. Introduction -- 7.2. Buckling-wave propagation analogy -- 7.3. Microbuckling in elastic orthotropic composites -- 7.4. Inelastic microbuckling -- 7.5. Results and discussion -- 7.6. References -- 8 Quasi-Bifurcation of Discrete Systems with Unstable Post-Critical Behavior under Impulsive Loads -- 8.1. Introduction -- 8.2. Case study of a two DOF system with unstable static behavior -- 8.3. Exploring the static and dynamic behavior of the two DOF system -- 8.4. The dynamic stability criterion due to Lee -- 8.5. New stability bounds following Lee's approach -- 8.6. Conclusion -- 8.7. Acknowledgments -- 8.8. References -- 9 Singularly Perturbed Problems of Drill String Buckling in Deep Curvilinear Borehole Channels -- 9.1. Introduction -- 9.2. Singular perturbation theory: elements and history.
9.3. Posing the problem of a drill string buckling in the curvilinear borehole -- 9.4. Modeling the drill string buckling in lowering operation -- 9.5. References -- 10 Shape-optimized Cantilevered Columns under a Rocket-based Follower Force -- 10.1. Background -- 10.2. Aims -- 10.3. Numerical analysis -- 10.3.1. Stability analysis -- 10.3.2. Optimum design -- 10.4. Experiment -- 10.4.1. General description -- 10.4.2. Rocket motor -- 10.4.3. Columns -- 10.4.4. Free vibration test -- 10.5. Flutter test -- 10.6. Concluding remarks -- 10.7. Acknowledgments -- 10.8. Appendix -- 10.9. References -- 11 Hencky Bar-Chain Model for Buckling Analysis and Optimal Design of Trapezoidal Arches -- 11.1. Introduction -- 11.2. Buckling analysis of trapezoidal arches based on the HBM -- 11.2.1. Description of the HBM -- 11.2.2. HBM stiffness matrix formulation -- 11.2.3. Governing equation considering compatibility conditions -- 11.2.4. Verification of the HBM -- 11.3. Optimal design of symmetric trapezoidal arches -- 11.3.1. Problem definition -- 11.3.2. Optimization procedure -- 11.3.3. Optimal solutions -- 11.3.4. Sensitivity analysis of optimal solutions -- 11.3.5. Comparison with the buckling load of optimal fully stressed trapezoidal arches -- 11.4. Concluding remarks -- 11.5. References -- List of Authors -- Index -- Summary of Volume 2 -- Summary of Volume 3 -- Other titles from iSTE in Mechanical Engineering and Solid Mechanics -- EULA.
Record Nr. UNINA-9910676563803321
London, England ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Modern trends in structural and solid mechanics . 2 Vibrations / / edited by Noël Challamel, Julius Kaplunov, Izuru Takewaki
Modern trends in structural and solid mechanics . 2 Vibrations / / edited by Noël Challamel, Julius Kaplunov, Izuru Takewaki
Pubbl/distr/stampa London, England ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , [2021]
Descrizione fisica 1 online resource (291 pages)
Disciplina 620.3
Collana Mechanical Engineering and Solid Mechanics Series
Soggetto topico Vibration
Structural analysis (Engineering)
Mechanics, Applied
ISBN 1-5231-4361-4
1-119-83185-7
1-119-83186-5
1-119-83184-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910677039303321
London, England ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Modern trends in structural and solid mechanics . 2 Vibrations / / edited by Noël Challamel, Julius Kaplunov, Izuru Takewaki
Modern trends in structural and solid mechanics . 2 Vibrations / / edited by Noël Challamel, Julius Kaplunov, Izuru Takewaki
Pubbl/distr/stampa London, England ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , [2021]
Descrizione fisica 1 online resource (291 pages)
Disciplina 620.3
Collana Mechanical Engineering and Solid Mechanics Series
Soggetto topico Vibration
Structural analysis (Engineering)
Mechanics, Applied
ISBN 1-5231-4361-4
1-119-83185-7
1-119-83186-5
1-119-83184-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNINA-9910828611503321
London, England ; ; Hoboken, New Jersey : , : ISTE : , : Wiley, , [2021]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui