Title: Modal Decomposition in Vibrations

Speaker: Brian Feeny
Department of Mechanical Engineering, Michigan State University

We look at the spatial characterization of oscillatory systems by using decomposition methods. These decomposition methods are based on the availability of sensed quantities distributed across a structure of interest, and involve correlations of the displacements, velocities and/or accelerations. An eigenvalue problem produces optimal weighted energy distributions that are interpreted as modes. The proper orthogonal decomposition (POD) is the underlying fundamental method. The mass weighted POD, smooth orthogonal decomposition (SOD), state-variable modal decomposition (SVMD), and complex orthogonal decomposition (COD), are different generalizations of POD. The different methods can be used to sort the principal spatial distributions in terms of modal participation, modal frequency, and possibly modal frequency and damping. The basic ideas of these methods are sketched, and the methods are applied to a variety of simulations and experiments.

Brief Biosketch
Brian Feeny received his BS, MS and PhD in Mechanics from the University of Wisconsin—Madison (1984), the Virginia Polytechnic Institute and State University (1986), and Cornell University (1990), and then held a postdoctoral position at the Institute of Robotics, ETH in Zurich, Switzerland. He is now an Associate Professor in the Department of Mechanical Engineering at Michigan State University. He is a Fellow of the American Society of Mechanical Engineers (ASME), currently serves as chair of the ASME Technical Committee on Vibration and Sound, and as an Associate Editor for the Journal of Vibration and Acoustics. His research interests are in dynamics and vibration, with current activities in nonlinear dynamics, modal decomposition, friction dynamics, and system identification, and with applications to wind turbines, centrifugal pendulum vibration absorbers, and bio-locomotion.

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