Research developments in vibration control of structures using passive tuned mass dampers

A typical design problem for which the fixed-points method was originally developed is that of minimizing the maximum amplitude magnification factor of a primary system by using a dynamic vibration absorber This is an example of usual cases for which their exact solutions are not obtained by the well-known heuristic approach. In this paper, more natural formulation of this problem is studied, and algebraic closed-form exact solutions to both the optimum tuning ratio and the optimum damping coefficient for this classic problem are derived under assumption of undamped primary system. It is also proven that the minimum amplitude magnification factor, resonance and anti-resonance frequencies are entirely algebraic.

Closed-Form Solutions to the Exact Optimizations of Dynamic Vibration Absorbers (Minimizations of the Maximum Amplitude Magnification Factors)

Semi-active (SA) vibration-control systems are those which otherwise passively generated damping or spring forces are modulated according to a parameter tuning policy with only a small amount of control effort. SA units, as their name implies, fill the gap between purely passive and fully active vibration-control systems and offer the reliability of passive systems, yet maintain the versatility and adaptability of fully active devices. During recent years there has been considerable interest towards practical implementation of these systems for their low energy requirement and cost. This paper briefly reviews the basic theoretical concepts for SA vibration-control design and implementation, and surveys recent developments and control techniques for these systems. Some related practical applications in vehicle suspensions are also presented.

A Comparative Study and Analysis of Semi-Active Vibration-Control Systems

Forced transverse vibrations of an elastically connected complex simply supported double-beam system

Vibration and noise control using shunted piezoelectric transducers: A review

Theory of the linear dynamic vibration absorber at various citations constructional shapes and complicated models of dynamic vibration absorbers vibrations of systems with infinite degrees of freedom equipped with dynamic absorbers practical applications of the theory and examples of realized vibration protection systems.

Korenev Boris G

Papers

Dynamic Vibration Absorbers: Theory and Technical Applications

Dynamic vibration damper

Damper of pendular-type oscillations

Dynamic vibration suppressor

Arrangement for damping oscillation of structure