Skip to main content

Kinematic Synthesis of Mechanisms

Using Excel® and Geogebra

  • Textbook
  • © 2023


  • Includes several examples (solved in GeoGebra and Excel) to enable readers how to apply the methods in practice
  • Serves as a teaching tool for graduate students in mechanical engineering and engineers working on mechanical design
  • Presents the basics of kinematic synthesis of mechanisms

Part of the book series: Mechanisms and Machine Science (Mechan. Machine Science, volume 131)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

eBook USD 79.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book USD 99.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

About this book

This textbook covers classical geometrical methods and modern analytical methods in kinematic synthesis of mechanisms. The methods discussed are all implemented geometrically using Geogebra and analytically using Excel®; two readily available tools for personal computers. After a brief history on how the machine science has developed throughout history from the viewpoint of mechanism design, the chapters explain two, three, four and five position synthesis of mechanisms in detail respectively. Geometrical and analytical methods of guiding a rigid body between the given positions, path generation with prescribed timing and correlation of crank angles are covered. Analytical methods are explained using complex numbers. Using relative motion concept, the position synthesis of six-link mechanisms is also taken into account. Roberts-Chebyshev theorem is described and proved, and the use of the theorem in practice is shown. Converting a continuous rotary motion into an oscillating orreciprocating motion has been the main task starting with the windmill or water wheel. The book also explains the design of such mechanisms, and the analytical methods developed for the correlation of crank angles and function generation. Freudenstein’s equation for three, four and five precision points and least squares method for function generation using Freudenstein’s equation are explained. Developments made in Russian school on mechanism synthesis starting with Chebyshev are discussed.  Finally, application of optimization in mechanism design is shown with examples. Solver tool as an add-in in Excel® is used, which provides a simple, fast and easy-to-use platform for the optimization of mechanisms.


Table of contents (10 chapters)

Authors and Affiliations

  • Orta Doğu Teknik Üniversitesi, Ankara, Türkiye

    Eres Söylemez

About the author

Eres Söylemez is Emeritus at Middle East Technical University, Ankara, Turkey, where he was professor of mechanical engineering. He served as director of Defence Industries Research and Development Institute, Turkey, and as Mechanical Engneering Department Chairman at the Middle East Technical University.

Bibliographic Information

  • Book Title: Kinematic Synthesis of Mechanisms

  • Book Subtitle: Using Excel® and Geogebra

  • Authors: Eres Söylemez

  • Series Title: Mechanisms and Machine Science

  • DOI:

  • Publisher: Springer Cham

  • eBook Packages: Engineering, Engineering (R0)

  • Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2023

  • Hardcover ISBN: 978-3-031-30954-0Published: 03 August 2023

  • Softcover ISBN: 978-3-031-30957-1Due: 03 September 2023

  • eBook ISBN: 978-3-031-30955-7Published: 02 August 2023

  • Series ISSN: 2211-0984

  • Series E-ISSN: 2211-0992

  • Edition Number: 1

  • Number of Pages: XIV, 497

  • Number of Illustrations: 470 b/w illustrations, 114 illustrations in colour

  • Topics: Machinery and Machine Elements, Vibration, Dynamical Systems, Control, Algebraic Geometry

Publish with us