Screw theory exemplified

書誌事項

Screw theory exemplified

Jack Phillips

(Freedom in machinery / Jack Phillips, v. 2)

Cambridge University Press, 1990

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内容説明・目次

内容説明

This book explains what has become known as screw theory, and it deals by way of examples with the applications of this theory not only to the analysis and synthesis of mechanism in general, but also to the problems of real machine design. Because it is wholly three dimensional (and thus not easy to grasp when presented by means of mathematics alone), screw theory is presented here with the help of carefully drawn geometric figures which transport the reader directly into the three-dimensional domain. There are two important aspects of this book; it is firstly a fundamental work in the area of the kinetostatics of mechanism, which is a combination of the kinematics of the motions of and the statics of the forces between rigid bodies in contact. It is also a seminal work of importance for the mechanical design of robots, both the relatively simple robots of today and the much more versatile robots of the future.

目次

  • 1. Geometrical properties of the linear line systems
  • 2. The vector polygons for spatial mechanism
  • 3. On the two theorems of three axes
  • 4. Some reciprocities across the middle number three
  • 5. The generality and the geometry of the cylindroid
  • 6. The discovery in a mechanism of a cylindroid
  • 7. Action, motion, clearances and backlash
  • 8. Singular events in the cycles of motion
  • 9. Fundamental relations and some algebraic methods
  • 10. The special geometry of some overconstrained loops
  • 11. The helitangent lines in a moving body
  • 12. The cylindroid in gear technology
  • 13. The general and the special screw systems
  • Bibliography
  • Index.

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