Mechanisms for Generating Mathematical Curves

This book focuses on important mathematical considerations in describing the synthesis of original mechanisms for generating curves. The synthesis is manual and not based on the use of computer tools. Kinematics is applied to confirm the drawing of the cu

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Iulian Popescu Liliana Luca Mirela Cherciu Dan B. Marghitu

Mechanisms for Generating Mathematical Curves

Springer Tracts in Mechanical Engineering Series Editors Seung-Bok Choi, College of Engineering, Inha University, Incheon, Korea (Republic of) Haibin Duan, Beijing University of Aeronautics and Astronautics, Beijing, China Yili Fu, Harbin Institute of Technology, Harbin, China Carlos Guardiola, CMT-Motores Termicos, Polytechnic University of Valencia, Valencia, Spain Jian-Qiao Sun, University of California, Merced, CA, USA Young W. Kwon, Naval Postgraduate School, Monterey, CA, USA

Springer Tracts in Mechanical Engineering (STME) publishes the latest developments in Mechanical Engineering—quickly, informally and with high quality. The intent is to cover all the main branches of mechanical engineering, both theoretical and applied, including: • • • • • • • • • • • • • • • • •

Engineering Design Machinery and Machine Elements Mechanical structures and Stress Analysis Automotive Engineering Engine Technology Aerospace Technology and Astronautics Nanotechnology and Microengineering Control, Robotics, Mechatronics MEMS Theoretical and Applied Mechanics Dynamical Systems, Control Fluids mechanics Engineering Thermodynamics, Heat and Mass Transfer Manufacturing Precision engineering, Instrumentation, Measurement Materials Engineering Tribology and surface technology

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Iulian Popescu Liliana Luca Mirela Cherciu Dan B. Marghitu •





Mechanisms for Generating Mathematical Curves

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Iulian Popescu Calea Bucureşti Facultatea de Mecanică Craiova, Romania

Liliana Luca Calea Eroilor Universitatea Constantin Brâncuși Târgu Jiu, Romania

Mirela Cherciu Calea Bucureşti Facultatea de Mecanică Craiova, Romania

Dan B. Marghitu Mechanical Engineering Department Auburn University Auburn, AL, USA

ISSN 2195-9862 ISSN 2195-9870 (electronic) Springer Tracts in Mechanical Engineering ISBN 978-3-030-42167-0 ISBN 978-3-030-42168-7 (eBook) https://doi.org/10.1007/978-3-030-42168-7 © Springer Nature Switzerland AG 2020 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illus