Mechanisms for the Generation of Plane Curves focuses on the possibility of generating plane curves through kinematic linkages.
The book first offers information on the basic theory of the generation of curves by mechanisms with higher pairs of the fourth class and fundamentals of the theory of the generation of curves using mechanisms with lower pairs of class V. Discussions focus on generation of curves by centrode and trajectory pairs; generation of curves with five-link and six-link kinematic chains; basic theorem for the mechanical generation of algebraic curves; and use of the properties of individual forms of transformation mechanisms. The text then examines mechanical generation of straight lines and circles and mechanical generation of ellipses, hyperbolas, and parabolas.
The publication ponders on the mechanical generation of third degree curves and mechanical generation of curves of the fourth degree. Topics include mechanisms for generating curves of the focal type; mechanisms for generating special forms of curves; and mechanisms for the generation of the conchoids of the straight line and the circle.
The text is a dependable reference for readers interested in the mechanisms involved in plane curves.
Inhalt
Editor's Preface
Preface to the English Edition
Foreword
Chapter 1 Basic Theory of the Generation of Curves by Mechanisms with Higher Pairs of the Fourth Class
1. Generation of Curves by Centrode and Trajectory Pairs
2. Generation of Curves with a Three-Link Kinematic Chain
3. Generation of Curves with Five-Link and Six-Link Kinematic Chains
Chapter 2 Fundamentals of the Theory of Generation of Curves Using Mechanisms with Lower Pairs of Class V
4. Basic Theorem of the Mechanical Generation of Algebraic Curves
5. Utilization of Various Kinematic Properties
6. Use of the Properties of Similarity
7. Use of the Properties of Inversion
8. Use of the Properties of Pedal Curves
9. Use of the Properties of Individual Forms of Transformation Mechanisms
Chapter 3 Mechanical Generation of Straight Lines and Circles
10. Inversor Mechanisms
11. Pantograph and Parallelogram Mechanisms
12. Circle and Straight Line Mechanisms
Chapter 4 Mechanical Generation of Ellipses, Hyperbolas and Parabolas
13. Conicograph Mechanisms
14. Tangent Type Conicograph Mechanisms
15. Ellipsograph Mechanisms
16. Hyperbolograph Mechanisms
17. Parabolographs
Chapter 5 The Mechanical Generation of Third Degree Curves
18. Mechanisms for the Generation of Curves of the Cissoid Type
19. Mechanisms for Generating Curves of the Focal Type
20. Mechanisms for Generating Curves of the Verser Type
21. Mechanisms for Generating Certain Special Forms of Curves
Chapter 6 Mechanical Generation of Curves of the Fourth Degree
22. Mechanisms for the Generation of the Conchoids of the Straight Line and the Circle
23. Mechanisms for the Generation of Curves of the Volute Type
24. Mechanisms for the Generation of Curves of the Leaf Type
25. Mechanisms for the Generation of Curves of the Polyzonal Type
26. Mechanisms for the Generation of Curves having Nodes which Touch One Another
27. Mechanisms for the Generation of Particular Types of Curves
Chapter 7 Mechanical Generation of Certain Algebraic Curves of Higher Degree, and of Transcendental Curves
28. Mechanisms for the Generation of Cycloidal Curves
29. Mechanisms for the Generation of Pedals of Cycloidal Curves
30. Mechanisms for the Generation of Curves Accompanying Cycloidal Curves
31. Mechanisms for the Generation of Curves of the Conchoid and Roulette Type
32. Mechanisms for the Generation of Particular Forms of Curves
33. An Outline of the Development of the Theory of Mechanisms for the Generation of Curves
Index