Minimax Optimization Of Dynamic Pendulum Absorbers For A Damped Primary System
Mohammed A. Abdel-Hafiz, Galal A. Hassaan
Index Terms—Minimax optimization procedure, damped primary system, classical pendulum absorber, pendulum torsional spring absorber, dual pendulum absorber.
Abstract— In this paper, a minimax optimization procedure for dynamic vibration pendulum absorbers used with damped primary system is developed. An optimization problem is formulated providing the parameters of a pendulum absorber which can minimize the primary system vibration amplitude and decrease the sensitivity of the primary system response to uncertainties of excitation frequency. Three types of pendulum absorber are investigated: classical pendulum, pendulum-torsional spring and dual pendulum. The benefits of using the different types of pendulum vibration absorber are presented and the main system frequency response is compared leading to a recommendation about the most suitable type to a specific application.
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