Mechanisms for the Generation of Plane Curves - 1st Edition - ISBN: 9780080099859, 9781483152424

Mechanisms for the Generation of Plane Curves

1st Edition

Authors: I. I. Artobolevskii
Editors: W. Johnson
eBook ISBN: 9781483152424
Imprint: Pergamon
Published Date: 1st January 1964
Page Count: 294
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Description

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.

Table of Contents


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

Details

No. of pages:
294
Language:
English
Copyright:
© Pergamon 1964
Published:
Imprint:
Pergamon
eBook ISBN:
9781483152424

About the Author

I. I. Artobolevskii

About the Editor

W. Johnson