Advanced Newtonian rigid dynamics / / Rajnikant Sinha |
Autore | Sinha Rajnikant |
Edizione | [1st ed. 2023.] |
Pubbl/distr/stampa | Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 |
Descrizione fisica | 1 online resource (620 pages) : illustrations (black and white, and color) |
Disciplina | 531.3 |
Soggetto topico |
Dynamics, Rigid
Electronic books |
ISBN | 981-9920-22-1 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Chapter 1. 3-D Kinematics of Rigid Bodies -- Chapter 2. D’Alembert’s Principle -- Chapter 3. Momental Ellipsoid -- Chapter 4. Motion About a Fixed Axis -- Chapter 5. Motion in Two Dimensions (Finite Forces) -- Chapter 6. Impulsive forces -- Chapter 7. Motion in Three Dimensions -- Chapter 8. Conservation Principles of A.M. and Energy. |
Record Nr. | UNINA-9910746972803321 |
Sinha Rajnikant | ||
Singapore : , : Springer Nature Singapore : , : Imprint : Springer, , 2023 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Advances in kinematics, mechanics of rigid bodies, and materials sciences : selected, peer reviewed papers from the 2013 International Conference on Kinematics, Mechanics of Rigid Bodies, and Materials (KINEMATICS 2013), November 2-3, 2013, Jakarta, Indonesia / / edited by Ford Lumban Gaol [and three others] |
Pubbl/distr/stampa | Zurich, Switzerland : , : TTP, , 2014 |
Descrizione fisica | 1 online resource (158 p.) |
Disciplina | 531.112 |
Collana | Applied Mechanics and Materials |
Soggetto topico |
Kinematics
Dynamics, Rigid Materials science |
Soggetto genere / forma | Electronic books. |
ISBN | 3-03826-419-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Advances in Kinematics, Mechanics of Rigid Bodies, and Materials Sciences; Preface, Committees, Sponsors and Speakers; Table of Contents; Chapter 1: Material Science; Strength of Concrete Containing Rice Husk Ash Subjected to Sodium Sulfate Solution via Wetting and Drying Cyclic; Deformation Characteristics of Concrete Containing High Volume Palm Oil Fuel Ash; Passive Damage Detection of Natural Fibre Reinforced Composites Using Sensor Response Data; Toughening of Wood/Poly(vinyl chloride) Composites by Using Ultrafine Rubber Particles: Mechanical and Rheological Investigations
Development and Characterization of SS316L Foam Prepared by Powder Metallurgy RouteInvestigation of Pore Structure for Manufactured Sand Mortar; Evaluation of Pore Size Distribution for Controlled Permeability Formwork Liner; Surface Morphology of Nano-Sized Titanium Dioxide; An Empirical Approach for Prediction of Natural Fiber Reinforced Polypropylene Composite Properties; Properties of Alpinia galanga Agro-Waste-HDPE Composites with Addition of MA-g-PE and Eco Degradant; Chapter 2: Applied Mechanics and Engineering A Model-Inspired Phenomenology Constitutive Equation for the Temperature-Dependence of Flow Stress at Confined Dimension IA Geometric Approach to the Decoupling Control and to Speed up the Dynamics of a General Rigid Body Manipulation System; Predicting Truck Load Variation Using Q-Truck Model; Magneto Rheological for Motorcycle Suspension Using Bouc-Wen Model; Velocity Statistics of a Fully Pulsed Round Jet in Streamwise Direction; Adaptive System Development for Secondary Skin; A New Method for Equilibria and Stability Analysis of Nonlinear Dynamical Systems Inverse Kinematic Solutions Using Artificial Neural NetworksKeywords Index; Authors Index |
Record Nr. | UNINA-9910464368403321 |
Zurich, Switzerland : , : TTP, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Advances in kinematics, mechanics of rigid bodies, and materials sciences : selected, peer reviewed papers from the 2013 International Conference on Kinematics, Mechanics of Rigid Bodies, and Materials (KINEMATICS 2013), November 2-3, 2013, Jakarta, Indonesia / / edited by Ford Lumban Gaol [and three others] |
Pubbl/distr/stampa | Zurich, Switzerland : , : TTP, , 2014 |
Descrizione fisica | 1 online resource (158 p.) |
Disciplina | 531.112 |
Collana | Applied Mechanics and Materials |
Soggetto topico |
Kinematics
Dynamics, Rigid Materials science |
ISBN | 3-03826-419-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Advances in Kinematics, Mechanics of Rigid Bodies, and Materials Sciences; Preface, Committees, Sponsors and Speakers; Table of Contents; Chapter 1: Material Science; Strength of Concrete Containing Rice Husk Ash Subjected to Sodium Sulfate Solution via Wetting and Drying Cyclic; Deformation Characteristics of Concrete Containing High Volume Palm Oil Fuel Ash; Passive Damage Detection of Natural Fibre Reinforced Composites Using Sensor Response Data; Toughening of Wood/Poly(vinyl chloride) Composites by Using Ultrafine Rubber Particles: Mechanical and Rheological Investigations
Development and Characterization of SS316L Foam Prepared by Powder Metallurgy RouteInvestigation of Pore Structure for Manufactured Sand Mortar; Evaluation of Pore Size Distribution for Controlled Permeability Formwork Liner; Surface Morphology of Nano-Sized Titanium Dioxide; An Empirical Approach for Prediction of Natural Fiber Reinforced Polypropylene Composite Properties; Properties of Alpinia galanga Agro-Waste-HDPE Composites with Addition of MA-g-PE and Eco Degradant; Chapter 2: Applied Mechanics and Engineering A Model-Inspired Phenomenology Constitutive Equation for the Temperature-Dependence of Flow Stress at Confined Dimension IA Geometric Approach to the Decoupling Control and to Speed up the Dynamics of a General Rigid Body Manipulation System; Predicting Truck Load Variation Using Q-Truck Model; Magneto Rheological for Motorcycle Suspension Using Bouc-Wen Model; Velocity Statistics of a Fully Pulsed Round Jet in Streamwise Direction; Adaptive System Development for Secondary Skin; A New Method for Equilibria and Stability Analysis of Nonlinear Dynamical Systems Inverse Kinematic Solutions Using Artificial Neural NetworksKeywords Index; Authors Index |
Record Nr. | UNINA-9910789104203321 |
Zurich, Switzerland : , : TTP, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Advances in kinematics, mechanics of rigid bodies, and materials sciences : selected, peer reviewed papers from the 2013 International Conference on Kinematics, Mechanics of Rigid Bodies, and Materials (KINEMATICS 2013), November 2-3, 2013, Jakarta, Indonesia / / edited by Ford Lumban Gaol [and three others] |
Pubbl/distr/stampa | Zurich, Switzerland : , : TTP, , 2014 |
Descrizione fisica | 1 online resource (158 p.) |
Disciplina | 531.112 |
Collana | Applied Mechanics and Materials |
Soggetto topico |
Kinematics
Dynamics, Rigid Materials science |
ISBN | 3-03826-419-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Advances in Kinematics, Mechanics of Rigid Bodies, and Materials Sciences; Preface, Committees, Sponsors and Speakers; Table of Contents; Chapter 1: Material Science; Strength of Concrete Containing Rice Husk Ash Subjected to Sodium Sulfate Solution via Wetting and Drying Cyclic; Deformation Characteristics of Concrete Containing High Volume Palm Oil Fuel Ash; Passive Damage Detection of Natural Fibre Reinforced Composites Using Sensor Response Data; Toughening of Wood/Poly(vinyl chloride) Composites by Using Ultrafine Rubber Particles: Mechanical and Rheological Investigations
Development and Characterization of SS316L Foam Prepared by Powder Metallurgy RouteInvestigation of Pore Structure for Manufactured Sand Mortar; Evaluation of Pore Size Distribution for Controlled Permeability Formwork Liner; Surface Morphology of Nano-Sized Titanium Dioxide; An Empirical Approach for Prediction of Natural Fiber Reinforced Polypropylene Composite Properties; Properties of Alpinia galanga Agro-Waste-HDPE Composites with Addition of MA-g-PE and Eco Degradant; Chapter 2: Applied Mechanics and Engineering A Model-Inspired Phenomenology Constitutive Equation for the Temperature-Dependence of Flow Stress at Confined Dimension IA Geometric Approach to the Decoupling Control and to Speed up the Dynamics of a General Rigid Body Manipulation System; Predicting Truck Load Variation Using Q-Truck Model; Magneto Rheological for Motorcycle Suspension Using Bouc-Wen Model; Velocity Statistics of a Fully Pulsed Round Jet in Streamwise Direction; Adaptive System Development for Secondary Skin; A New Method for Equilibria and Stability Analysis of Nonlinear Dynamical Systems Inverse Kinematic Solutions Using Artificial Neural NetworksKeywords Index; Authors Index |
Record Nr. | UNINA-9910818281803321 |
Zurich, Switzerland : , : TTP, , 2014 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Dynamics of the rigid solid with general constraints by a multibody approach / / Nicolae Pandrea and Nicolae-Doru Stănescu |
Autore | Pandrea Nicolae |
Pubbl/distr/stampa | Chichester, [England] : , : Wiley, , 2016 |
Descrizione fisica | 1 online resource (436 p.) |
Disciplina | 531/.3 |
Soggetto topico |
Dynamics, Rigid
Multibody systems Constraints (Physics) |
Soggetto genere / forma | Electronic books. |
ISBN | 1-118-95440-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Title Page; Table of Contents; Preface; 1 Elements of Mathematical Calculation; 1.1 Vectors: Vector Operations; 1.2 Real Rectangular Matrix; 1.3 Square Matrix; 1.4 Skew Matrix of Third Order; Further Reading; 2 Kinematics of the Rigid Solid; 2.1 Finite Displacements of the Points of Rigid Solid; 2.2 Matrix of Rotation: Properties; 2.3 Minimum Displacements: The Chasles Theorem; 2.4 Small Displacements; 2.5 Velocities of the Points of Rigid Solid; 2.6 The Angular Velocity Matrix: Properties; 2.7 Composition of the Angular Velocities; 2.8 Accelerations of the Points of Rigid Solid
Further Reading3 General Theorems in the Dynamics of the Rigid Solid; 3.1 Moments of Inertia; 3.2 Momentum: The Theorem of Momentum; 3.3 Moment of Momentum: The Theorem of Moment of Momentum; 3.4 The Kinetic Energy of the Rigid Solid; Further Reading; 4 Matrix Differential Equations of the Motion of Rigid Solid; 4.1 The Differential Equations Obtained from the General Theorems; 4.2 The Lagrange Equations in the Case of the Holonomic Constraints; 4.3 The Equivalence between the Differential Equations Obtained from the General Theorems and the Lagrange Equations 4.4 The Matrix Differential Equations for the Motion of the Constrained Rigid SolidFurther Reading; 5 Generalized Forces: The Equilibrium of the Rigid Solid; 5.1 The Generalized Forces in the Case of a Mechanical System; 5.2 The General Expressions of the Generalized Forces in the Case of Rigid Solid; 5.3 Conservative Forces; 5.4 The Equilibrium of the Constrained Rigid Solid; 5.5 The Equilibrium of the Heavy Rigid Solid Hanged by Springs; Further Reading; 6 The Motion of the Rigid Solid with Constraints at Given Proper Points; 6.1 General Aspects: Classification 6.2 Mathematical Aspects: Notations6.3 The Study of the Rigid Solid with a Fixed Point; 6.4 The Rigid Solid with Two Fixed Points (the Rotational Motion of the Rigid Solid); 6.5 The Rigid Solid with a Given Point Situated on a Fixed Surface; 6.6 The Rigid Solid with Several Points Situated on Fixed Surfaces (Curves); 6.7 The Rigid Solid with a Fixed Point and with Another Point Situated on a Fixed Surface; 6.8 The Rigid Solid with Two Given Points Situated on a Fixed Curve; Further Reading; 7 The Motion of the Rigid Solid with Constraints on Given Proper Curves 7.1 General Aspects: Classification7.2 The Rigid Solid Supported at Fixed Points on Given Proper Curves; 7.3 The Rigid Solid at Which Given Proper Curves Support with Sliding on Fixed Curves; 7.4 Rolling without Sliding of a Curve on a Fixed Curve; 7.5 The Motion of the Rigid Solid at Which the Curves Jointed to It Support with Sliding on Fixed Surfaces; 7.6 The Rolling without Sliding of a Disk Bounded by a Spatial Curve on a Fixed Surface; 7.7 The Rolling without Sliding of a Planar Circle Disk on a Horizontal Plan 7.8 The Rolling without Sliding of a Planar Elliptic Disk on a Horizontal Plan |
Record Nr. | UNINA-9910136884003321 |
Pandrea Nicolae | ||
Chichester, [England] : , : Wiley, , 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Dynamics of the rigid solid with general constraints by a multibody approach / / Nicolae Pandrea and Nicolae-Doru Stănescu |
Autore | Pandrea Nicolae |
Pubbl/distr/stampa | Chichester, [England] : , : Wiley, , 2016 |
Descrizione fisica | 1 online resource (436 p.) |
Disciplina | 531/.3 |
Soggetto topico |
Dynamics, Rigid
Multibody systems Constraints (Physics) |
ISBN | 1-118-95440-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Title Page; Table of Contents; Preface; 1 Elements of Mathematical Calculation; 1.1 Vectors: Vector Operations; 1.2 Real Rectangular Matrix; 1.3 Square Matrix; 1.4 Skew Matrix of Third Order; Further Reading; 2 Kinematics of the Rigid Solid; 2.1 Finite Displacements of the Points of Rigid Solid; 2.2 Matrix of Rotation: Properties; 2.3 Minimum Displacements: The Chasles Theorem; 2.4 Small Displacements; 2.5 Velocities of the Points of Rigid Solid; 2.6 The Angular Velocity Matrix: Properties; 2.7 Composition of the Angular Velocities; 2.8 Accelerations of the Points of Rigid Solid
Further Reading3 General Theorems in the Dynamics of the Rigid Solid; 3.1 Moments of Inertia; 3.2 Momentum: The Theorem of Momentum; 3.3 Moment of Momentum: The Theorem of Moment of Momentum; 3.4 The Kinetic Energy of the Rigid Solid; Further Reading; 4 Matrix Differential Equations of the Motion of Rigid Solid; 4.1 The Differential Equations Obtained from the General Theorems; 4.2 The Lagrange Equations in the Case of the Holonomic Constraints; 4.3 The Equivalence between the Differential Equations Obtained from the General Theorems and the Lagrange Equations 4.4 The Matrix Differential Equations for the Motion of the Constrained Rigid SolidFurther Reading; 5 Generalized Forces: The Equilibrium of the Rigid Solid; 5.1 The Generalized Forces in the Case of a Mechanical System; 5.2 The General Expressions of the Generalized Forces in the Case of Rigid Solid; 5.3 Conservative Forces; 5.4 The Equilibrium of the Constrained Rigid Solid; 5.5 The Equilibrium of the Heavy Rigid Solid Hanged by Springs; Further Reading; 6 The Motion of the Rigid Solid with Constraints at Given Proper Points; 6.1 General Aspects: Classification 6.2 Mathematical Aspects: Notations6.3 The Study of the Rigid Solid with a Fixed Point; 6.4 The Rigid Solid with Two Fixed Points (the Rotational Motion of the Rigid Solid); 6.5 The Rigid Solid with a Given Point Situated on a Fixed Surface; 6.6 The Rigid Solid with Several Points Situated on Fixed Surfaces (Curves); 6.7 The Rigid Solid with a Fixed Point and with Another Point Situated on a Fixed Surface; 6.8 The Rigid Solid with Two Given Points Situated on a Fixed Curve; Further Reading; 7 The Motion of the Rigid Solid with Constraints on Given Proper Curves 7.1 General Aspects: Classification7.2 The Rigid Solid Supported at Fixed Points on Given Proper Curves; 7.3 The Rigid Solid at Which Given Proper Curves Support with Sliding on Fixed Curves; 7.4 Rolling without Sliding of a Curve on a Fixed Curve; 7.5 The Motion of the Rigid Solid at Which the Curves Jointed to It Support with Sliding on Fixed Surfaces; 7.6 The Rolling without Sliding of a Disk Bounded by a Spatial Curve on a Fixed Surface; 7.7 The Rolling without Sliding of a Planar Circle Disk on a Horizontal Plan 7.8 The Rolling without Sliding of a Planar Elliptic Disk on a Horizontal Plan |
Record Nr. | UNINA-9910829918403321 |
Pandrea Nicolae | ||
Chichester, [England] : , : Wiley, , 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Nonlinear dynamics : mathematical models for rigid bodies with a liquid / / Ivan A. Lukovsky ; translated by Peter V. Malyshev |
Autore | Lukovsky Ivan A. |
Pubbl/distr/stampa | Berlin : , : De Gruyter, , [2015] |
Descrizione fisica | 1 online resource (410 p.) |
Disciplina | 003.75 |
Collana | De Gruyter studies in mathematical physics |
Soggetto topico |
Dynamics
Dynamics, Rigid Nonlinear theories |
Soggetto genere / forma | Electronic books. |
ISBN |
3-11-055536-0
1-5231-0464-3 3-11-031657-9 3-11-038973-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Foreword to English Edition -- Foreword to Russian Edition -- Contents -- Introduction -- Chapter 1. Governing equations and boundary conditions in the dynamics of a bounded volume of liquid -- Chapter 2. Direct methods in the nonlinear problems of the dynamics of bodies containing liquids -- Chapter 3. Hydrodynamic theory of motions of the ships transporting liquids -- Chapter 4. Nonlinear differential equations of space motions of a rigid body containing an upright cylindrical cavity partially filled with liquid -- Chapter 5. Nonlinear modal equations for noncylindical axisymmetric tanks -- Chapter 6. Derivation of the nonlinear equations of space motions of the body-liquid system by the method of perturbation theory -- Chapter 7. Equivalent mechanical systems in the dynamics of a rigid body with liquid -- Chapter 8. Forced finite-amplitude liquid sloshing in moving vessels -- Bibliography -- Index -- Backmatter |
Record Nr. | UNINA-9910460418903321 |
Lukovsky Ivan A. | ||
Berlin : , : De Gruyter, , [2015] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Nonlinear dynamics : mathematical models for rigid bodies with a liquid / / Ivan A. Lukovsky ; translated by Peter V. Malyshev |
Autore | Lukovsky Ivan A. |
Pubbl/distr/stampa | Berlin : , : De Gruyter, , [2015] |
Descrizione fisica | 1 online resource (410 p.) |
Disciplina | 003.75 |
Collana | De Gruyter studies in mathematical physics |
Soggetto topico |
Dynamics
Dynamics, Rigid Nonlinear theories |
Soggetto non controllato | Lagrange formalism for hydrodynamic and hybrid mechanical systems, fluid-structure interaction, nonlinear sloshing, coupled `rigid tank-contained liquid’ dynamics, spacecraft and land-based applications |
ISBN |
3-11-055536-0
1-5231-0464-3 3-11-031657-9 3-11-038973-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Foreword to English Edition -- Foreword to Russian Edition -- Contents -- Introduction -- Chapter 1. Governing equations and boundary conditions in the dynamics of a bounded volume of liquid -- Chapter 2. Direct methods in the nonlinear problems of the dynamics of bodies containing liquids -- Chapter 3. Hydrodynamic theory of motions of the ships transporting liquids -- Chapter 4. Nonlinear differential equations of space motions of a rigid body containing an upright cylindrical cavity partially filled with liquid -- Chapter 5. Nonlinear modal equations for noncylindical axisymmetric tanks -- Chapter 6. Derivation of the nonlinear equations of space motions of the body-liquid system by the method of perturbation theory -- Chapter 7. Equivalent mechanical systems in the dynamics of a rigid body with liquid -- Chapter 8. Forced finite-amplitude liquid sloshing in moving vessels -- Bibliography -- Index -- Backmatter |
Record Nr. | UNINA-9910797287103321 |
Lukovsky Ivan A. | ||
Berlin : , : De Gruyter, , [2015] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Nonlinear dynamics : mathematical models for rigid bodies with a liquid / / Ivan A. Lukovsky ; translated by Peter V. Malyshev |
Autore | Lukovsky Ivan A. |
Pubbl/distr/stampa | Berlin : , : De Gruyter, , [2015] |
Descrizione fisica | 1 online resource (410 p.) |
Disciplina | 003.75 |
Collana | De Gruyter studies in mathematical physics |
Soggetto topico |
Dynamics
Dynamics, Rigid Nonlinear theories |
Soggetto non controllato | Lagrange formalism for hydrodynamic and hybrid mechanical systems, fluid-structure interaction, nonlinear sloshing, coupled `rigid tank-contained liquid’ dynamics, spacecraft and land-based applications |
ISBN |
3-11-055536-0
1-5231-0464-3 3-11-031657-9 3-11-038973-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Foreword to English Edition -- Foreword to Russian Edition -- Contents -- Introduction -- Chapter 1. Governing equations and boundary conditions in the dynamics of a bounded volume of liquid -- Chapter 2. Direct methods in the nonlinear problems of the dynamics of bodies containing liquids -- Chapter 3. Hydrodynamic theory of motions of the ships transporting liquids -- Chapter 4. Nonlinear differential equations of space motions of a rigid body containing an upright cylindrical cavity partially filled with liquid -- Chapter 5. Nonlinear modal equations for noncylindical axisymmetric tanks -- Chapter 6. Derivation of the nonlinear equations of space motions of the body-liquid system by the method of perturbation theory -- Chapter 7. Equivalent mechanical systems in the dynamics of a rigid body with liquid -- Chapter 8. Forced finite-amplitude liquid sloshing in moving vessels -- Bibliography -- Index -- Backmatter |
Record Nr. | UNINA-9910807277903321 |
Lukovsky Ivan A. | ||
Berlin : , : De Gruyter, , [2015] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Rigid body dynamics / / Alexey V. Borisov, Ivan S. Mamaev |
Autore | Borisov A. V (Alekseĭ Vladimirovich) |
Pubbl/distr/stampa | Berlin ; ; Boston : , : De Gruyter : , : Higher Education Press, , 2019 |
Descrizione fisica | 1 online resource (530 pages) |
Disciplina | 531.3 |
Collana | De Gruyter Studies in Mathematical Physics |
Soggetto topico | Dynamics, Rigid |
Soggetto genere / forma | Electronic books. |
ISBN |
3-11-054297-8
3-11-054444-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Introduction -- The Creators of Rigid Body Dynamics -- 1. Rigid Body Equations of Motion and Their Integration -- 2. The Euler - Poisson Equations and Their Generalizations -- 3. The Kirchhoff Equations and Related Problems of Rigid Body Dynamics -- 4. Linear Integrals and Reduction -- 5. Generalizations of Integrability Cases. Explicit Integration -- 6. Periodic Solutions, Nonintegrability, and Transition to Chaos -- A. Derivation of the Kirchhoff, Poincaré - Zhukovskii, and Four-Dimensional Top Equations -- B. The Lie Algebra e(4) and Its Orbits -- C. Quaternion Equations and L-A Pair for the Generalized Goryachev - Chaplygin Top -- D. The Hess Case and Quantization of the Rotation Number -- E. Ferromagnetic Dynamics in a Magnetic Field -- F. The Landau - Lifshitz Equation, Discrete Systems, and the Neumann Problem -- G. Dynamics of Tops and Material Points on Spheres and Ellipsoids -- H. On the Motion of a Heavy Rigid Body in an Ideal Fluid with Circulation -- I. The Hamiltonian Dynamics of Self-gravitating Fluid and Gas Ellipsoids -- Bibliography -- Index of Names -- Index |
Record Nr. | UNINA-9910467306803321 |
Borisov A. V (Alekseĭ Vladimirovich) | ||
Berlin ; ; Boston : , : De Gruyter : , : Higher Education Press, , 2019 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|