Newton-Euler Dynamics [Paperback]

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.

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.

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 Eulers Theorem4.3 Finite Rotations4.4 Infinitesimal Rotations and Angular Velocity and Accelerlı