Mark D. Ardema

Newton-Euler Dynamics

• Gebundenes Buch

Produktbeschreibung

- Introduction and Basic Concepts

- Review of Planar Kinematics

- Coordinate Systems, Components, and Transformations

- Relative Motion

- Foundations of Kinetics

- Kinetics of the Mass Center of a Rigid Body

- Angular Momentum and Inertia Matrix

- Angular Momentum Equations

- Fixed Axis Rotation

- Motion of a Rigid Body withone Point Fixed; Gyroscopic Motion

- Work and Energy.

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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.

Produktdetails

• Verlag: Springer / Springer US / Springer, Berlin
• Artikelnr. des Verlages: 978-0-387-23275-1
• 2005
• Seitenzahl: 336
• Erscheinungstermin: 19. November 2004
• Englisch
• Abmessung: 241mm x 160mm x 24mm
• Gewicht: 670g
• ISBN-13: 9780387232751
• ISBN-10: 0387232753
• Artikelnr.: 13912080

Autorenporträt

Mark D. Ardema, Santa Clara University, Santa Clara, CA, USA

Inhaltsangabe

Preface1: Introduction and Basic Concepts1.1 Fundamental Definitions and Assumptions1.2 Position, Velocity, and Acceleration of a Point2: Review of Planar Kinematics2.1 Plane Motion of a Point; Rectangular Components of Velocityand Acceleration2.2 Example2.3 Tangential - Normal Components2.4 Example2.5 Example2.6 Radial - Transverse Components2.7 Example2.8 Angular Velocity2.9 Relative Motion of Reference Frames2.10 Relative Velocity and Acceleration2.11 Example2.12 ExampleNotesProblems3: Coordinate Systems, Components, and Transformation3.1 Rectangular Coordinates and Components3.2 Intrinsic Components3.3 Example3.4 General Approach to Coordinate Systems and Components3.5 Cylindrical Coordinates and Components3.6 Example3.7 Spherical Coordinates and Components3.8 Coordinate Transformations3.9 ExamplesNotes Problems4: Relative Motion 4.1 Introductory Remarks4.2 Euler's Theorem4.3 Finite Rotations4.4 Infinitesimal Rotations and Angular Velocity and Acceleration4.5 Example4.6 Basic Kinematic Equation4.7 Some Properties of Angular Velocity4.8 Relative Velocity and Acceleration Equations4.9 Composition Relations for Angular Velocities and Accelerations4.10 Summary of Relative Motion4.11 ExampleNotesProblems5: Foundations of Kinetics5.1 Newton's Laws of Motion5.2 Center of Mass5.3 Example5.4 Rigid Bodies5.5 Example5.6 Example5.7 Rigid Body Motion5.8 Proof That the Motion of a Rigid Body Is Specified By theMotion of Any Body-Fixed Frame5.9 Proof That All Body-Fixed Frames Have the Same AngularVelocity5.10 Gravitation5.11 Degrees of Freedom and Holonomic ConstraintsNotesProblems6: Kinetics of the Mass Center of a Rigid Body 6.1Equations of Motion, Two Dimensions6.2 Example6.3 Aircraft Equations of Motion in a Vertical Plane6.4 Equations of Motion, Three Dimensions6.5 Example6.6 Motion in Inertial and Non-Inertial Frames6.7 Example - Rotating Cylindrical Space Station6.8 Inertial Frames of Reference6.9 Motion Near the Surface of the Earth6.10 Projectile Motion6.11 Example - Large Scale Weather Patterns6.12 Aircraft Equations of Motion for 3-D FlightNotesProblems7: Angular Momentum and Inertia Matrix7.1 Definition of Angular Momentum7.2 Moments and Products of Inertia7.3 Examples7.4 Principal Axes and Principal Moments of Inertia7.5 Example7.6 Rotational Mass Symmetry7.7 Relation Between Angular Momenta7.8 Parallel Axis Theorem7.9 Radius of Gyration7.10 ExamplesNotesProblems8: Angular Momentum Equations8.1 Angular Momentum Equation8.2 Euler's Equations8.3 Summary of Rigid Body Motion8.4 Examples8.5 Special Case of Planar Motion8.6 Example8.7 Equivalent Force SystemsNotesProblems9. Fixed Axis Rotation9.1 Introductory Remarks9.2 Off-Center Disk9.3 Bent Disk9.4 Static and Dynamic Balancing9.5 General CaseNotesProblems10: Motion of a Rigid Body with One Point Fixed; Gyroscopic Motion10.1 Instantaneous Axis of Zero Velocity10.2 Euler's Angles10.3 Transformations10.4 Example - Thin Spherical Pendulum10.5 Gyroscopic Motion10.6 Steady Precession10.7 Example10.8 Steady Precession with Zero Moment10.9 Steady Precession About an Axis Normal to the Spin Axis10.10 Use of a Rotor to Stabilize a Car in Turns10.11 Examples and ApplicationsNotesProblems11: Work and Energy11.1 Introduction11.2 Work11.3 Forms of the Work Integral11.4 Example - Constant Force11.5 Power11.6

Rezensionen

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)