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He was a Research Associate (2004–2007) and then a                            models, advanced computational algorithms, and high-
         Senior Research Associate (2007–2011) in the E. L. Ginzton                    performance software for the design and analysis of
         Laboratory at Stanford University. In 2012, he joined North                   complex systems in aerospace, marine, mechanical, and
         Carolina State University, Raleigh, where he is now a Professor               naval engineering. He is a member of the National Academy of
         of Electrical and Computer Engineering. His current research                  engineering; a member of the Royal Academy of Engineering
         focuses on developing devices and systems for ultrasound                      (UK); a Fellow of AIAA, ASME, IACM, SIAM, and USACM;
         imaging, photoacoustic imaging, image-guided therapy,                         and an ISI Highly Cited Author in Engineering. He is also the
         biological and chemical sensing, and ultrasound neural                        recipient of many other professional and academic distinctions,
         stimulation.                                                                  including the Spirit of Saint Louis Medal and Lifetime
                                                                                       Achievement Award from ASME; the Ashley Award for
         Dr. Oralkan is an Associate Editor for the IEEE Transactions                  Aeroelasticity and the Structures, Structural Dynamics and
         on Ultrasonics, Ferroelectrics and Frequency Control and                      Materials Award from AIAA; the Gordon Bell Prize and Sidney
         serves on the Technical Program Committee of the IEEE                         Fernbach Award from IEEE; the John von Neumann Medal
         International Ultrasonics Symposium. He received the 2016                     from USACM; the Grand Prize from the Japan Society for
         William F. Lane Outstanding Teacher Award at NC State, 2013                   Computational Engineering and Science; and the Gauss-
         DARPA Young Faculty Award, and 2002 Outstanding Paper                         Newton Medal from IACM. He was selected by the U.S. Navy
         Award of the IEEE Ultrasonics, Ferroelectrics, and Frequency                  as a Primary Key-Influencer, flown by the Blue Angels during
         Control Society.                                                              Fleet Week 2014, and appointed to the Air Force Science
                                                                                       Advisory Board.
         Track 5: Dynamics, Vibration, and Control
                                                                                       Track 5: Dynamics, Vibration, and Control
         5-1-1: DYNAMICS, VIBRATION, AND CONTROL
                            Monday, November 11, 9:45AM–10:30AM                        5-1-2: DYNAMICS, VIBRATION, AND CONTROL
                                                                           Room 155E,                     Tuesday, November 12, 9:45AM–10:30AM
                                                                                                                                                          Room 155F,
               Calvin L. Rampton Salt Palace Convention Center
                                                                                             Calvin L. Rampton Salt Palace Convention Center
         Data-Driven Model Reduction and Probabilistic Learning
         for Digital Twins                                                             The Interplay of Nonlinearity and Noise in Tiny Resonators
         (IMECE2019-13995)                                                             (IMECE2019-13996)

                               Charbel Farhat                                                                Steve Shaw
                               Stanford University                                                           Florida Institute of Technology

         Abstract: A digital twin refers to a digital replica of a physical            Abstract: Vibrating structures with dimensions on the scale
         asset — whether a platform or a process — that can be used,                   of micro-meters are playing increasingly important roles in
         for example, to control in real time the operation of this asset,             sensors and frequency sources (i.e., clocks) that are widely
         or optimize in near real time its maintenance. This lecture,                  used in commercial devices, including smart phones. Some
         however, will assert that, in the context of computational                    basic differences exist between such small structures and their
         mechanics, a more rigorous realization of a digital twin can be               macro-scale counterparts, the most important of which are
         grounded in recent advances in the data-driven reduction of                   their relatively high frequencies and small damping. These
         the dimensionality of high-fidelity models, and the data-driven                features provide many practical benefits that include resonant
         probabilistic modeling and quantification of the model-form                    operation in the radio frequency range, the ability to utilize
         uncertainties associated with the resulting reduced-order                     electrostatics for actuation and readout, and the on-chip
         models. The lecture will also illustrate the aforementioned                   integration of mechanical and electronic elements. However,
         assertions with two sample digital twins constructed for this                 microelectromechanical system (MEMS) resonators are highly
         purpose — one for a UAV in order to control is automatic                      susceptible to noise and nonlinearity and one of the basic
         landing on a carrier using a real-time model predictive control               challenges in their design is maintaining a good signal to noise
         (MPC) algorithm and one for a small-scale replica of an X-56                  ratio without driving them into nonlinearity. This presentation
         type aircraft in order to optimize in near real-time its                      will provide an overview of the roles of nonlinearity and noise
         maintenance — and will highlight their performance.                           in MEMS resonators and describe how a fundamental
                                                                                       understanding of these effects can play an important role
xxxviii  Bio: Charbel Farhat is the Vivian Church Hoff Professor of                    in improving their performance. Specific examples will be
         Aircraft Structures, Chairman of the Department of Aeronautics                taken from time-keeping applications, where it has been
         and Astronautics, Director of the Army High Performance                       demonstrated that nonlinear operation can reduce phase noise
         Computing Research Center, and Director of the of the King                    in MEMS-based clocks, and from resonant sensors, where it is
         Abdullah City of Science and Technology Center of Excellence                  shown that the input-output gain in rotational rate vibratory
         for Aeronautics and Astronautics at Stanford University. His                  gyros can be increased by exploiting nonlinear mode coupling.
         research interests focus on the development of mathematical
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