Kinematic Synthesis of Mechanisms: Using Excel (R) and Geogebra

This textbook provides a comprehensive guide to kinematic synthesis of mechanisms, covering classical geometrical methods and modern analytical methods using Geogebra and Excel®. It discusses the synthesis of mechanisms in two, three, four, and five positions, as well as six-link mechanisms. It also covers the design of mechanisms for converting continuous rotary motion into oscillating or reciprocating motion, and the use of optimization in mechanism design. The book is accompanied by a solver tool add-in in Excel® for easy optimization of mechanisms.

Format: Hardback
Length: 495 pages
Publication date: 18 August 2023
Publisher: Springer International Publishing AG

This comprehensive textbook delves into both classical geometrical methods and modern analytical approaches in the kinematic synthesis of mechanisms. The methods discussed herein are meticulously implemented geometrically using the powerful Geogebra software, while also being analyzed analytically utilizing the versatile Excel® platform, both of which are readily accessible tools for personal computers.

To provide a historical context, the book begins with a brief exploration of the evolution of machine science, focusing specifically on the development of mechanism design. This introductory chapter sets the stage for the subsequent chapters, which delve into the detailed synthesis of mechanisms in two, three, four, and five positions.

Geometrical methods are employed to guide rigid bodies between specified positions, generate paths with prescribed timing, and correlate crank angles. Complex numbers are used to elucidate analytical methods, and the concept of relative motion is introduced to address the synthesis of six-link mechanisms. The Roberts-Chebyshev theorem is described and proven, showcasing its practical applications.

Furthermore, the book delves into the conversion of continuous rotary motion into oscillating or reciprocating motion, a fundamental task that has been pursued since the inception of windmills and water wheels. It explains the design principles and analytical methods employed to correlate crank angles and generate functions. The Freudensteins equation for three, four, and five precision points and the least squares method for function generation using Freudensteins equation are explained in detail.

The book also discusses developments made in the Russian school of mechanism synthesis, starting with Chebyshev. It explores the use of optimization in mechanism design, highlighting the role of solver tools as add-ins in Excel®, which offer a simple, fast, and user-friendly platform for optimizing mechanisms.

In conclusion, this textbook serves as an invaluable resource for students, engineers, and researchers seeking to expand their knowledge and expertise in the field of mechanism synthesis. By combining geometric and analytical approaches, it provides a comprehensive framework for designing and analyzing complex mechanical systems. The inclusion of real-world examples and practical applications further enhances its utility and makes it an essential tool for anyone involved in mechanism design and optimization.

Dimension: 235 x 155 (mm)
ISBN-13: 9783031309540
Edition number: 1st ed. 2023