Newton-Euler Dynamics
(Sprache: Englisch)
Most books on this subject are designed for elective courses in "intermediate dynamics" covering advanced Newtonian and introductory Lagrangian methods. Such books do not give adequate emphasis to advanced topics in Newton-Euler dynamics. Because the first...
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Klappentext zu „Newton-Euler Dynamics “
Most books on this subject are designed for elective courses in "intermediate dynamics" covering advanced Newtonian and introductory Lagrangian methods. Such books do not give adequate emphasis to advanced topics in Newton-Euler dynamics. Because the first required course in dynamics usually concentrates on 2-D dynamics, important 3-D problems are left to a further course. Examples are robots, automated manufacturing devices, aerospace vehicles, and biomechanical components. This material cannot be covered adequately in one course if it is to be shared with an introduction to Langrangian methods. This text is devoted to application of Newton-Euler methods to complex, real-life 3-D dynamics problems; it essentially completes this topic.
Unlike other books on this subject, which tend to concentrate on 2-D dynamics, this text focuses on the application of Newton-Euler methods to complex, real-life 3-D dynamics problems. It is thus ideal for elective courses in intermediate dynamics.
Inhaltsverzeichnis zu „Newton-Euler Dynamics “
Preface 1: Introduction and Basic Concepts
1.1 Fundamental Definitions and Assumptions
1.2 Position, Velocity, and Acceleration of a Point
2: Review of Planar Kinematics
2.1 Plane Motion of a Point; Rectangular Components of Velocity and Acceleration
2.2 Example
2.3 Tangential - Normal Components
2.4 Example
2.5 Example
2.6 Radial - Transverse Components
2.7 Example
2.8 Angular Velocity
2.9 Relative Motion of Reference Frames
2.10 Relative Velocity and Acceleration
2.11 Example
2.12 Example Notes Problems
3: Coordinate Systems, Components, and Transformation
3.1 Rectangular Coordinates and Components
3.2 Intrinsic Components
3.3 Example
3.4 General Approach to Coordinate Systems and Components
3.5 Cylindrical Coordinates and Components
3.6 Example
3.7 Spherical Coordinates and Components
3.8 Coordinate Transformations
3.9 Examples Notes Problems
4: Relative Motion
4.1 Introductory Remarks
4.2 Euler's Theorem
4.3 Finite Rotations
4.4 Infinitesimal Rotations and Angular Velocity and Acceleration
4.5 Example
4.6 Basic Kinematic Equation
4.7 Some Properties of Angular Velocity
4.8 Relative Velocity and Acceleration Equations
4.9 Composition Relations for Angular Velocities and Accelerations
4.10 Summary of Relative Motion
4.11 Example Notes Problems
5: Foundations of Kinetics
5.1 Newton's Laws of Motion
5.2 Center of Mass
5.3 Example
5.4 Rigid Bodies
5.5 Example
5.6 Example
5.7 Rigid Body Motion
5.8 Proof That the Motion of a Rigid Body Is Specified By the Motion of Any Body-Fixed Frame
5.9 Proof That All Body-Fixed Frames Have the Same Angular Velocity
5.10 Gravitation
5.11 Degrees of Freedom and Holonomic ConstraintsNotes Problems
6: Kinetics of the Mass Center of a Rigid Body
6.1 Equations of Motion, Two Dimensions
6.2 Example
6.3 Aircraft Equations of Motion in a Vertical Plane
6.4 Equations of Motion, Three Dimensions
6.5 Example
6.6 Motion in
... mehr
Inertial and Non-Inertial Frames
6.7 Example - Rotating Cylindrical Space Station
6.8 Inertial Frames of Reference
6.9 Motion Near the Surface of the Earth
6.10 Projectile Motion
6.11 Example - Large Scale Weather Patterns
6.12 Aircraft Equations of Motion for 3-D Flight Notes Problems
7: Angular Momentum and Inertia Matrix
7.1 Definition of Angular Momentum
7.2 Moments and Products of Inertia
7.3 Examples
7.4 Principal Axes and Principal Moments of Inertia
7.5 Example
7.6 Rotational Mass Symmetry
7.7 Relation Between Angular Momenta
7.8 Parallel Axis Theorem
7.9 Radius of Gyration
7.10 Examples Notes Problems
8: Angular Momentum Equations
8.1 Angular Momentum Equation
8.2 Euler's Equations
8.3 Summary of Rigid Body Motion
8.4 Examples
8.5 Special Case of Planar Motion
8.6 Example
8.7 Equivalent Force Systems Notes Problems
9. Fixed Axis Rotation
9.1 Introductory Remarks
9.2 Off-Center Disk
9.3 Bent Disk
9.4 Static and Dynamic Balancing
9.5 General Case Notes Problems
10: Motion of a Rigid Body with One Point Fixed; Gyroscopic Motion
10.1 Instantaneous Axis of Zero Velocity
10.2 Euler's Angles
10.3 Transformations
10.4 Example - Thin Spherical Pendulum
10.5 Gyroscopic Motion
10.6 Steady Precession
10.7 Example
10.8 Steady Precession with Zero Moment
10.9 Steady Precession About an Axis Normal to the Spin Axis
10.10 Use of a Rotor to Stabilize a Car in Turns
10.11 Examples and Applications Notes Problems
11: Work and Energy
11.1 Introduction
11.2 Work
11.3 Forms of the Work Integral
11.4 Example - Constant Force
11.5 Power
11.6 Work Done By a Force Couple
11.7 Kinetic Energy and the Energy Equation
11.8 Example
11.9 Potential Energy
11.10 Example - Gravitational Attraction
11.11 Energy Equation
11.12 Examples
11.13 Work Done by Internal Forces in a Rigid Body
11.14 Work - Energy for a Rigid Body
11.15 Example - Sphere Rolling on Inclined Plane
11.16 Special Cases
11.17 Example
11.18 Systems of Rigid Bodies
11.19 Example - Car Accelerating Up a Hill Notes Problems
Appendix A - Review of Vector Algebra and Derivatives of Vectors
Appendix B - Mass Properties of Selected Homogeneous Solids
Index
6.7 Example - Rotating Cylindrical Space Station
6.8 Inertial Frames of Reference
6.9 Motion Near the Surface of the Earth
6.10 Projectile Motion
6.11 Example - Large Scale Weather Patterns
6.12 Aircraft Equations of Motion for 3-D Flight Notes Problems
7: Angular Momentum and Inertia Matrix
7.1 Definition of Angular Momentum
7.2 Moments and Products of Inertia
7.3 Examples
7.4 Principal Axes and Principal Moments of Inertia
7.5 Example
7.6 Rotational Mass Symmetry
7.7 Relation Between Angular Momenta
7.8 Parallel Axis Theorem
7.9 Radius of Gyration
7.10 Examples Notes Problems
8: Angular Momentum Equations
8.1 Angular Momentum Equation
8.2 Euler's Equations
8.3 Summary of Rigid Body Motion
8.4 Examples
8.5 Special Case of Planar Motion
8.6 Example
8.7 Equivalent Force Systems Notes Problems
9. Fixed Axis Rotation
9.1 Introductory Remarks
9.2 Off-Center Disk
9.3 Bent Disk
9.4 Static and Dynamic Balancing
9.5 General Case Notes Problems
10: Motion of a Rigid Body with One Point Fixed; Gyroscopic Motion
10.1 Instantaneous Axis of Zero Velocity
10.2 Euler's Angles
10.3 Transformations
10.4 Example - Thin Spherical Pendulum
10.5 Gyroscopic Motion
10.6 Steady Precession
10.7 Example
10.8 Steady Precession with Zero Moment
10.9 Steady Precession About an Axis Normal to the Spin Axis
10.10 Use of a Rotor to Stabilize a Car in Turns
10.11 Examples and Applications Notes Problems
11: Work and Energy
11.1 Introduction
11.2 Work
11.3 Forms of the Work Integral
11.4 Example - Constant Force
11.5 Power
11.6 Work Done By a Force Couple
11.7 Kinetic Energy and the Energy Equation
11.8 Example
11.9 Potential Energy
11.10 Example - Gravitational Attraction
11.11 Energy Equation
11.12 Examples
11.13 Work Done by Internal Forces in a Rigid Body
11.14 Work - Energy for a Rigid Body
11.15 Example - Sphere Rolling on Inclined Plane
11.16 Special Cases
11.17 Example
11.18 Systems of Rigid Bodies
11.19 Example - Car Accelerating Up a Hill Notes Problems
Appendix A - Review of Vector Algebra and Derivatives of Vectors
Appendix B - Mass Properties of Selected Homogeneous Solids
Index
... weniger
Bibliographische Angaben
- Autor: Mark D. Ardema
- 2010, XVI, 316 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 1441935959
- ISBN-13: 9781441935953
Sprache:
Englisch
Pressezitat
From the reviews of the first edition: "Ardema (Santa Clara Univ., California) is highly commended for the thorough, systematic, and concise approach in this book. He explains some of the very inextricable concepts clearly ... . The strength of the book lies in its coverage of a wide range of topics ... . Each chapter includes examples that are worked with sufficient detail, as well as plenty of challenging problems ... . This work is strongly recommended as a technical elective to undergraduates ... . Summing Up: Recommended. Upper-division undergraduates through professionals." (R.N. Laoulache, CHOICE, Vol. 42 (11), July, 2005)
"The subject of this book is the dynamics of rigid bodies. ... The book has grown out of an undergraduate engineering course on dynamics taught at Santa Clara University, California. ... the wealth of examples makes the book a useful source for a large class of readers. ... I think that even people who teach mechanics at a more sophisticated level, i.e. mathematics or physics students, could profit from taking a look at the examples in this book." (Volker Perlick, Zentralblatt MATH, Vol. 1087, 2006)
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