Kinematic Synthesis of Mechanisms Using Excel® and Geogebra

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 ho...

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Bibliographic Details
Main Author: Söylemez, Eres
Format: eBook
Language:English
Published: Cham Springer Nature Switzerland 2023, 2023
Edition:1st ed. 2023
Series:Mechanisms and Machine Science
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Kinematic Synthesis of Mechanisms  |h Elektronische Ressource  |b Using Excel® and Geogebra  |c by Eres Söylemez 
250 |a 1st ed. 2023 
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300 |a XIV, 497 p. 584 illus., 114 illus. in color  |b online resource 
505 0 |a Introduction: History of Mechanisms -- Two Positions of a Moving Plane -- Three Positions of a Moving Plane -- Four Positions of a Moving Plane -- Five Positions of a Moving Plane -- Four-Bar and Slider-Crank Cognates -- Four-Link Crank Mechanisms -- Correlation of Crank Angles, Function Generation, Freudenstein’s Equation in Mechanism Design -- Chebyshev Methods of Synthesis -- Optimization Methods in the Synthesis of Mechanisms Using Excel 
653 |a Machinery and Machine Elements 
653 |a Mechanics, Applied 
653 |a Algebraic Geometry 
653 |a Machinery 
653 |a Multibody Systems and Mechanical Vibrations 
653 |a Vibration 
653 |a Algebraic geometry 
653 |a Multibody systems 
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520 |a 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