The tuned mass damper is one of the classic dynamic vibration absorbers with effective devices for energy dissipation and vibration reduction. The electromagnetically tuned mass damper system is extensively used for vibration reduction in engineering. A better understanding of the nonlinear dynamics of the electromagnetically tuned mass damper system is very important to optimize the parameters of such systems for vibration reduction. However, until now, one cannot fully understand complex periodic motions in such a nonlinear, electromagnetically tuned mass damper system. In this book, the semi-analytical solutions of periodic motions are presented through period-1, period-3, period-9, and period-12 motions. The corresponding stability and bifurcations of periodic motions are determined. The frequency-amplitude characteristics for bifurcation routes of such higher-order periodic motions are presented. This book helps people better understand the dynamical behaviors of an electromagnetically tuned mass damper system for the new development and design of vibration reduction and energy harvesting systems.

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Professor Albert C.J. Luo has worked at Southern Illinois University Edwardsville. For over 30 years, Dr. Luo's contributions on nonlinear dynamical systems and mechanics lie in (i) the local singularity theory for discontinuous dynamical systems; (ii) dynamical systems synchronization; (iii) analytical solutions of periodic and chaotic motions in nonlinear dynamical systems; (iv) the theory for stochastic and resonant layer in nonlinear Hamiltonian systems; and (v) the full nonlinear theory for a deformable body. Such contributions have been scattered into 28 monographs and over 350 peer-reviewed journal and conference papers. Dr. Luo served as an editor for the Journal of Communications in Nonlinear Science and Numerical Simulation, and book series on Nonlinear Physical Science (HEP and Springer) and Nonlinear Systems and Complexity (Springer). Dr. Luo was an editorial member for IMeCh E Part K Journal of Multibody Dynamics and Journal of Vibration and Control, and has alsoorganized over 30 international symposiums and conferences on dynamics and control.

Dr. Chuan Guo worked at Southern Illinois University Edwardsville as a research assistant. Mr. Guo's research interest lies in nonlinear vibration and impact dynamics. He has published 12 peer-reviewed journal papers, more than 5 conference articles, and 1 book chapter.

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