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Springer Tracts in Mechanical Engineering

Problems of Locus Solved by Mechanisms Theory

Authors: Popescu, Iulian, Calbureanu, Xenia, Duta, Alina

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  • Explains how to apply the theory of mechanisms for solving the locus problem
  • Shows how to develop the equivalent mechanism, starting from the geometric problem
  • Describes a set of new mechanisms to generate original curves and trajectories
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  • ISBN 978-3-030-63079-9
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About this book

This book reports on an original approach to problems of loci. It shows how the theory of mechanisms can be used to address the locus problem. It describes the study of different loci, with an emphasis on those of triangle and quadrilateral, but not limited to them. Thanks to a number of original drawings, the book helps to visualize different type of loci, which can be treated as curves, and shows how to create new ones, including some aesthetic ones, by changing some parameters of the equivalent mechanisms. Further, the book includes a theoretical discussion on the synthesis of mechanisms, giving some important insights into the correlation between the generation of trajectories by mechanisms and the synthesis of those mechanisms when the trajectory is given, and presenting approximate solutions to this problem.  Based on the authors’ many years of research and on their extensive knowledge concerning the theory of mechanisms, and bridging between geometry and mechanics, this book offers a unique guide to mechanical engineers and engineering designers, mathematicians, as well as industrial and graphic designers, and students in the above-mentioned fields alike.


About the authors

Iulian Popescu, Emeritus Professor, Ph.D. in Engineering, is a full member of the Academy of Technical Sciences of Romania. He was teaching the course on Mechanisms and Machines Theory at the Faculty of Mechanics of the University of Craiova, Romania, for about 35 years. He supervised 25 Ph.D. students and published 31 books on Mechanisms in Romanian language. He has co-authored the book Mechanisms for Generating Mathematical Curves, published by Springer in 2020.

Mădălina Xenia Călbureanu Popescu is Professor Habil. Eng. at the Faculty of Mechanics of the University of Craiova. Her research area covers the vast and multi-disciplinary field of dynamics, with applications in mechanical and civil engineering. She has been investigating cinematic elements and vibrations, as well as dynamic responses of structures subjected to seismic action. A further area of interest is concerned with heat and mass transfer, including applications in the field of energy efficiency. With more than 100 publications in both journal and conference papers, and book chapters, she is also a senior member of International Engineering and Technology Institute.

Alina Duţă, Ph.D., has been serving as Associate Professor at the Faculty of Mechanics of the University of Craiova. She received a Doctor in Technical Sciences from “Politehnica” University of Bucharest in 1998. She has authored 3 books about descriptive geometry and graphics in Romanian language and more than 100 articles published in journals and proceedings of national and international symposiums.  Her research work is mainly concerned with topics in geometry, such as the geometry of curves, and modelling and simulation of technological processes. She is a member of “International Society for Geometry and Graphics” (ISGG).

Table of contents (15 chapters)

Table of contents (15 chapters)
  • Introduction

    Pages 1-7

    Popescu, Iulian (et al.)

  • Loci Generated by the Point of a Line Which Moves One End on a Circle and the Other on a Line

    Pages 9-17

    Popescu, Iulian (et al.)

  • Loci Generated by the Point of Intersection of Two Lines

    Pages 19-41

    Popescu, Iulian (et al.)

  • Loci Generated by the Points on a Line Which Move on Two Concurrent Lines

    Pages 43-55

    Popescu, Iulian (et al.)

  • Loci Generated by the Points on a Bar Which Slides with the Heads on Two Fixed Lines

    Pages 57-69

    Popescu, Iulian (et al.)

Buy this book

eBook $109.00
price for Mexico
  • ISBN 978-3-030-63079-9
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.99
price for Mexico
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Bibliographic Information

Bibliographic Information
Book Title
Problems of Locus Solved by Mechanisms Theory
Authors
Series Title
Springer Tracts in Mechanical Engineering
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-63079-9
DOI
10.1007/978-3-030-63079-9
Hardcover ISBN
978-3-030-63078-2
Series ISSN
2195-9862
Edition Number
1
Number of Pages
IX, 287
Number of Illustrations
781 b/w illustrations, 10 illustrations in colour
Topics