Advanced Engineering Dynamics

by Jerry H. Ginsberg

• ISBN13: 9780521470216
• ISBN10: 0521470218
• Edition: 2nd
• Format: Hardcover
• Copyright: 1995-08-25
• Publisher: Cambridge University Press

Summary

This text offers a clear and refreshing exposition of the dynamics of mechanical systems from an engineering perspective. The author thoroughly covers basic concepts and applies them in a systematic manner to solve problems in mechanical systems with applications to engineering. Numerous illustrative examples accompany all theoretical discussions, and each chapter offers a wealth of homework problems. The treatment of the kinematics of particles and rigid bodies is extensive. In this new edition the author has revised and reorganized sections to enhance understanding of physical principles, and he has modified and added examples, as well as homework problems. The new edition also contains a thorough development of computational methods for solving the differential equations of motion for constrained systems. Seniors and graduate students in engineering will find this book to be extremely useful. Solutions manual available.

Table of Contents

1. Basic considerations

2. Introduction

3. Newton's Laws

4. Systems of Units

5. Vector Calculus

6. Energy and Momentum

7. Brief Biographical Perspective

8. Particle Kinematics

9. Path Variables-Intrinsic Coordinates

10. Rectangular Cartesian Coordinates

11. Orthogonal Curvilinear Coordinates

12. Joint Kinematical Descriptions

13. Relative Motion

14. Rotation Transformations

15. Finite Rotations

16. Angular Velocity and Derivatives of Rotating Vectors

17. Angular Acceleration

18. Derivative of an Arbitrary Factor

19. Velocity and Acceleration Using a Moving Reference Frame

20. Observations from a Moving Reference System

21. Kinematics of Rigid Bodies

22. General Equations

23. Eulerian Angles

24. Interconnections

25. Rolling

26. Newtonian Kinetics of a Rigid Body

27. Fundamental Principles

28. Evaluations of Angular Momentum and Inertia Properties

29. Rate of Change of Angular Momentum

30. Equations of Motion

31. Planar Motion

32. Impulse-Momentum and Work-Energy Principles

33. System of Rigid Bodies

34. Introduction of Analytical Mechanics

35. Generalized Coordinates and Degrees of Freedom

36. Constraints - Holonomic and Nonholonomic

37. Virtual Displacements

38. Generalized Forces

39. Hamilton's Principle

40. Lagrange's Equations. 41. Further Concepts in Analytical Mechanics

42. Constrained Generalized Coordinates

43. Computational Methods in the State-Space

44. Hamiltonian Mechanics and Further Conservation Principles

45. Gibbs-Appell Equations for Quasi-Coordinates

46. Gyroscopic Effects

47. Free Motion

48. Spinning Top

49. Gyroscopes for Inertial Guidance

Appendix

Answers to even-numbered problems