In this lecture I will review the evolution of unpredictable problems in nonlinear dynamics called “Chaos Theory”. An immensely popular research topic in the late 20th century, it is not as popular in the 21st Century. Chaotic and fractal dynamics has been observed in all areas of science and technology including machining processes and machine vibrations. I will review the basic tenets of Chaos Theory, it’s applications in engineering science and discuss its historical origins and how it evolved into complexity and network theory. In the second part I will review the current trends in Chaos Theory. In the third part of this lecture I will discuss an application of nonlinear dynamics to Vibro-Wind energy harvesting that arose from the study of chaos theory.

This lecture is based on the Author’s books: Chaotic and Fractal Dynamics (1992) as well as his new book Social Networks in the History of Innovation and Invention. The last part of this lecture is based on a recent paper in the J of Fluid and Structures (2013); “Shape optimization of a blunt body Vibro-wind galloping oscillator” by J.M. Kluger, F.C. Moon and R.H. Rand.

Short bio:

Francis C. Moon: Joseph Ford Professor of Mechanical Engineering, Emeritus,
Cornell University

Francis Moon has been a leader in several areas of research in Applied Mechanics and Mechanical Engineering including nonlinear dynamics and chaos theory, magneto-mechanical systems and fluid-structure dynamics. His laboratory produced nearly thirty doctoral theses as well as training two dozen post doc and international visitors. In recent years he has become a recognized author in the history of machines and kinematic mechanisms.

In addition to his expertise in applied mechanics, Moon has made important contributions to technologies of magnetic levitation of trains, dynamics of composite materials, design of superconducting magnets for fusion reactors, superconducting bearings, dynamics of magnetic rail guns and more recently energy harvesting using vibro-wind technology.

Moon’s scholarly activities have earned him a number of awards, including:
Election to National Academy of Engineering, 1996
ASME Fellow,
ASME Lyapunov Award, 2007, for lifetime achievements in nonlinear dynamics.
ASME Engineer Historian Award, 2011
ASME Caughey Dynamics Medal, 2012
Humboldt Preistrager Award from Germany, 1988.
An honorary doctorate from Karlsruhe Institute of Technology, 2010.

He is the author of over 140 research papers, eight books and editor of three books. His first book Magneto-Solid Mechanics, 1984, is unique in mechanics and Chaotic Vibrations, 1987 and Chaotic and Fractal Dynamics, 1992 were the first to include a wide survey of experiments in nonlinear dynamics and chaos theory. His recent books in the history of kinematics of machines are; The Machines of Leonardo da Vinci and Franz Reuleaux (2007) and Social Networks in the History of Innovation and Invention, (2013) published by Springer. Moon also has a textbook Applied Dynamics, 2nd Ed., published by Wiley-VCH 2007.

Francis Moon was the Director of the Sibley School of Mechanical and Aerospace Engineering at Cornell from 1987-1992 after serving as Chair of the Department of Theoretical and Applied Mechanics from 1980-1987. Since 1992, Moon has served as the faculty Curator of the Cornell Reuleaux Collection of Kinematic Models having worked to gain recognition of this world class collection as an ASME National Heritage Collection in 2004.

His national service has included:
President of the American Academy of Mechanics, 2000,
President of the Society of Engineering Science,
Associate Editor of Journal of Applied Mechanics,
Head of the Association of Departments of Mechanics.
Member National Research Council Commission on Magnetic Levitation.
Co-Chair of the National Congress of Theoretical and Applied Mechanics at Cornell, 1982.

Moon has organized a number of national and international conferences including IUTAM Conference on Nonlinear Dynamics and Chaos, 1997, Cornell, NSF Workshop on New Directions in Mechanics, 1999, Northwestern, Workshop on Nonlinear Dynamics in Manufacturing Processes, 1996, San Diego, IFTMM Workshop on the History of Machines and Mechanisms, 2006, Cornell.

Moon has lectured in over 50 US universities as well as in over 50 international venues. In 1987-8 he was an ASME Distinguished Lecturer. He also lectured on the Midwest Mechanics tour and the Southwest Mechanics Circuit in the 1980’s. He has given numerous lecture short-courses including two invited CISM mini-courses in Udine, Italy, and short courses in The Netherlands, Austria, Germany, Brazil.

Francis Moon has had industrial experience beginning with five years at the Navy Materials Laboratory, NY, summer work at NASA Lewis Lab Cleveland and Livermore National Laboratory. Moon was also a long-term consultant in magneto-mechanics of fusion reactor design at Argonne National Lab. He has consulted for The RAND Corp., IBM, General Electric Corp, ITT, Smith Corona, Sterling Extruder Corp and United Technologies.

Moon has been awarded five patents in smart structures and superconducting magnetic bearings and has one pending in vibro-wind energy.

As an engineering educator, he has taught applied dynamics for Cornell for many years and has written a advanced textbook in dynamics Applied Dynamics with a second edition that has been used by a dozen universities. Moon also taught Introduction to Robotics at Cornell for more than a dozen years focusing on kinematic mechanisms, electro-mechanics and control.

In 2004 Moon and co-workers at Cornell created an on-line educational website in the kinematics of mechanisms called KMODDL: Kinematic Mechanisms for Digital Design Library as part of the National Science Digital Library. This website has had more than a million visitors in eight years. Moon’s work on the revival of kinematic mechanisms has inspired new kinematics websites in Germany, Russia, Portugal, Taiwan and Japan.

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