Nicolae Pandrea, Nicolae-Doru Stanescu
Dynamics of the Rigid Solid with General Constraints by a Multibody Approach (eBook, PDF)
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Nicolae Pandrea, Nicolae-Doru Stanescu
Dynamics of the Rigid Solid with General Constraints by a Multibody Approach (eBook, PDF)
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Covers both holonomic and non-holonomic constraints in a study of the mechanics of the constrained rigid body. * Covers all types of general constraints applicable to the solid rigid * Performs calculations in matrix form * Provides algorithms for the numerical calculations for each type of constraint * Includes solved numerical examples * Accompanied by a website hosting programs
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- Größe: 16.51MB
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Covers both holonomic and non-holonomic constraints in a study of the mechanics of the constrained rigid body. * Covers all types of general constraints applicable to the solid rigid * Performs calculations in matrix form * Provides algorithms for the numerical calculations for each type of constraint * Includes solved numerical examples * Accompanied by a website hosting programs
Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.
Produktdetails
- Produktdetails
- Verlag: John Wiley & Sons
- Seitenzahl: 336
- Erscheinungstermin: 3. Mai 2016
- Englisch
- ISBN-13: 9781118954416
- Artikelnr.: 45055686
- Verlag: John Wiley & Sons
- Seitenzahl: 336
- Erscheinungstermin: 3. Mai 2016
- Englisch
- ISBN-13: 9781118954416
- Artikelnr.: 45055686
Nicolae Pandrea, Mechanical engineer, PhD. eng., Professor at the University of Pite?ti. Member of the Academy of Technical Sciences in Romania, has published 250 papers in Romania, U.S.A. and Europe and 7 books. Member of the Romanian Society of Acoustics. Winner of the "Traian Vuia" prize of the Romanian Academy. Co-author of the book Numerical Analysis with Applications in Mechanics and Engineering (Wiley, 2013). Nicolae-Doru St?nescu, Mechanical engineer, Mathematician, PhD. eng., PhD. math., Professor at the University of Pite?ti, has published 200 papers in Romania, Europe and U.S.A. and 11 books. Member of the International Institute of Acoustics and Vibrations, U.S.A, Member of the Société des Ingénieurs des l'Automobile, France. Winner of the "Traian Vuia" prize of the Romanian Academy. Co-author of the book Numerical Analysis with Applications in Mechanics and Engineering (Wiley, 2013).
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 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 3.
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 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 Solid 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 6. The
Motion of the Rigid Solid with Constraints at Given Proper Points 6.1
General Aspects; Classification 6.2 Mathematical Aspects; Notations 6.3 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 7. The Motion
of the Rigid Solid with Constraints on Given Proper Curves 7.1 General
Aspects; Classification 7.2 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 7.9 The Rolling without Sliding of a Hyperboidic Curve on a Horizontal
Plan 7.10 The Rolling without Sliding of a Planar Circle Disk on a
Cylindrical Surface with Horizontal Generatrices 7.11 The Rolling without
Sliding of Two Curves of a Rigid Solid on a Fixed Surface 7.12 The Rolling
without Sliding of an Axle with Wheels (Disks) with Angular Deviations on a
Horizontal Plan 7.13 The Rolling without Sliding of an Axle with Disks on a
Hyperbolic Paraboloid 8. The Motion of the Rigid Solid with Constraints on
the Bounding Surface 8.1 General Aspects; Classification 8.2 The Rigid
Solid Supported at Fixed Points 8.3 The Rigid Solid Supported with Sliding
on Fixed Curves 8.4 The Rolling without Sliding of the Rigid Solid on Two
Fixed Curves 8.5 The Rolling without Sliding of a Rigid Solid on a Fixed
Surface 8.6 The Rolling without Sliding of a Toroidal Wheel on a Horizontal
Plan 8.7 The Rolling without Sliding of a Rigid Solid Supported on Two
Fixed Surfaces 8.8 The Rolling without Sliding of a Rigid Solid Supported
at Two Points on a Fixed Surface Appendix Index
Real Rectangular Matrix 1.3 Square Matrix 1.4 Skew Matrix of Third Order 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 3.
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 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 Solid 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 6. The
Motion of the Rigid Solid with Constraints at Given Proper Points 6.1
General Aspects; Classification 6.2 Mathematical Aspects; Notations 6.3 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 7. The Motion
of the Rigid Solid with Constraints on Given Proper Curves 7.1 General
Aspects; Classification 7.2 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 7.9 The Rolling without Sliding of a Hyperboidic Curve on a Horizontal
Plan 7.10 The Rolling without Sliding of a Planar Circle Disk on a
Cylindrical Surface with Horizontal Generatrices 7.11 The Rolling without
Sliding of Two Curves of a Rigid Solid on a Fixed Surface 7.12 The Rolling
without Sliding of an Axle with Wheels (Disks) with Angular Deviations on a
Horizontal Plan 7.13 The Rolling without Sliding of an Axle with Disks on a
Hyperbolic Paraboloid 8. The Motion of the Rigid Solid with Constraints on
the Bounding Surface 8.1 General Aspects; Classification 8.2 The Rigid
Solid Supported at Fixed Points 8.3 The Rigid Solid Supported with Sliding
on Fixed Curves 8.4 The Rolling without Sliding of the Rigid Solid on Two
Fixed Curves 8.5 The Rolling without Sliding of a Rigid Solid on a Fixed
Surface 8.6 The Rolling without Sliding of a Toroidal Wheel on a Horizontal
Plan 8.7 The Rolling without Sliding of a Rigid Solid Supported on Two
Fixed Surfaces 8.8 The Rolling without Sliding of a Rigid Solid Supported
at Two Points on a Fixed Surface Appendix Index
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 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 3.
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 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 Solid 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 6. The
Motion of the Rigid Solid with Constraints at Given Proper Points 6.1
General Aspects; Classification 6.2 Mathematical Aspects; Notations 6.3 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 7. The Motion
of the Rigid Solid with Constraints on Given Proper Curves 7.1 General
Aspects; Classification 7.2 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 7.9 The Rolling without Sliding of a Hyperboidic Curve on a Horizontal
Plan 7.10 The Rolling without Sliding of a Planar Circle Disk on a
Cylindrical Surface with Horizontal Generatrices 7.11 The Rolling without
Sliding of Two Curves of a Rigid Solid on a Fixed Surface 7.12 The Rolling
without Sliding of an Axle with Wheels (Disks) with Angular Deviations on a
Horizontal Plan 7.13 The Rolling without Sliding of an Axle with Disks on a
Hyperbolic Paraboloid 8. The Motion of the Rigid Solid with Constraints on
the Bounding Surface 8.1 General Aspects; Classification 8.2 The Rigid
Solid Supported at Fixed Points 8.3 The Rigid Solid Supported with Sliding
on Fixed Curves 8.4 The Rolling without Sliding of the Rigid Solid on Two
Fixed Curves 8.5 The Rolling without Sliding of a Rigid Solid on a Fixed
Surface 8.6 The Rolling without Sliding of a Toroidal Wheel on a Horizontal
Plan 8.7 The Rolling without Sliding of a Rigid Solid Supported on Two
Fixed Surfaces 8.8 The Rolling without Sliding of a Rigid Solid Supported
at Two Points on a Fixed Surface Appendix Index
Real Rectangular Matrix 1.3 Square Matrix 1.4 Skew Matrix of Third Order 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 3.
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 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 Solid 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 6. The
Motion of the Rigid Solid with Constraints at Given Proper Points 6.1
General Aspects; Classification 6.2 Mathematical Aspects; Notations 6.3 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 7. The Motion
of the Rigid Solid with Constraints on Given Proper Curves 7.1 General
Aspects; Classification 7.2 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 7.9 The Rolling without Sliding of a Hyperboidic Curve on a Horizontal
Plan 7.10 The Rolling without Sliding of a Planar Circle Disk on a
Cylindrical Surface with Horizontal Generatrices 7.11 The Rolling without
Sliding of Two Curves of a Rigid Solid on a Fixed Surface 7.12 The Rolling
without Sliding of an Axle with Wheels (Disks) with Angular Deviations on a
Horizontal Plan 7.13 The Rolling without Sliding of an Axle with Disks on a
Hyperbolic Paraboloid 8. The Motion of the Rigid Solid with Constraints on
the Bounding Surface 8.1 General Aspects; Classification 8.2 The Rigid
Solid Supported at Fixed Points 8.3 The Rigid Solid Supported with Sliding
on Fixed Curves 8.4 The Rolling without Sliding of the Rigid Solid on Two
Fixed Curves 8.5 The Rolling without Sliding of a Rigid Solid on a Fixed
Surface 8.6 The Rolling without Sliding of a Toroidal Wheel on a Horizontal
Plan 8.7 The Rolling without Sliding of a Rigid Solid Supported on Two
Fixed Surfaces 8.8 The Rolling without Sliding of a Rigid Solid Supported
at Two Points on a Fixed Surface Appendix Index