OPTIMAL DESIGN OF DYNAMIC VIBRATION ABSORBER FOR DAMPED PRIMARY SYSTEM UNDER TORSIONAL EXCITATION USING EQUIVALENT LINEARATION METHOD BASED ON LEAST SQUARE CRITERION

Abstract

Tosinal vibration occurs much in the machine and equipment, it is usually reduced by vibration by dynamic balancing. Very few studies have been conducted using
to reduce this vibration, especially with the damped primary system, which may be due to analytical solutions for the damped primary system is very difficult, or very
complicated TMD (tuned mass damper) results in practice. This paper article provides a simple approach to determine the approximation analytical solutions for the
H∞ optimization of the dynamic vibration absorber attached to the damped primary system under tosional excitation. The main idea of the study to replace
approximately the original damped primary system by an equivalent undamped system using the least-squares criterion of the equivalent linearization method, then,
closed-form formulae of optimized parameters were derived for this active. The optimal parameters of the damper continue to be derived based on the results of the
known analysis from the fixed point method, resulting in the vibration of the damped primary system is confirmed based on frequency response and Time response of
the system has shown the strong effect of this solution for the damped primary system in the resonant region.