In 2011, he received the ASME Mechanisms and Robotics Award for his research contributions. He is a Fellow of the American Society of Mechanical Engineers (ASME), and has received the 2008 ASME Outstanding Service Award and the 2009 ASME Machine Design Award. His contributions in teaching were recognized by a 2010 UCI Teaching Excellence in Undergraduate engineering Award and the Henry Samueli School of Engineering’s 2009 Faribor Maseeh Teaching Award. He has presented tutorials on the design of linkages and robotic systems at ASME and IEEE conferences. His research team is responsible for the Sphinx, Synthetica and MecGen software packages, which extend computer-aided design to spherical and spatial linkage systems and integrate this process with geometric modeling. He has over 150 publications and three books including The Geometric Design of Linkages (Springer 2000, 2nd Ed. at Stanford University, and has taught at Loyola Marymount University and the University of Pennsylvania before joining UCI’s Mechanical Engineering Department in 1986. We formulate this problem in terms of global minimization of a polynomial function over single polynomial constraint. Michael McCarthy is the Henry Samueli Professor and Director of the Center for Engineering Science in Design at the University of California, Irvine, which supports the design and execution of team engineering projects across the School of Engineering. For a locally stable polynomial dynamical system its region of attraction can be estimated by a polynomial Lyapunov function level set. In particular, our algorithms extend beyond just finding isolated solutions to also find all positive dimensional solution sets of polynomial systems and to decompose these into irreducible components. As such these proceedings will provide admirable supporting theory for a graduate course in modern kinematics and should be of considerable interest to researchers in mechanical design, robotics or protein kinematics or who have a broader interest in algebraic geometry and its applications. In Numerical Algebraic Geometry we apply and integrate homotopy continuation methods to describe solution components of polynomial systems. The 21st Century Kinematics workshop echoes the NSF-supported 1963 Yale Mechanisms Teachers Conference that taught a generation of university educators the fundamental principles of kinematic theory. In doing so, it takes advantage of increasingly sophisticated computational tools developed for numerical algebraic geometry and demonstrates the now routine derivation of polynomial systems dwarfing the landmark problems of even the recent past. The text shows how the analysis and design of innovative mechanical systems yield increasingly complex systems of polynomials, characteristic of those systems. The specialist contributors provide the background for a series of presentations at the 2012 NSF Workshop. 21st Century Kinematics focuses on algebraic problems in the analysis and synthesis of mechanisms and robots, compliant mechanisms, cable-driven systems and protein kinematics. Algebra can be applied to angles and shapes as well In this unit, youll investigate how algebra can be useful when solving geometrical problems.
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