Active pendulum vibration absorbers with a spinning support

Analytical analysis for large-amplitude oscillation of a rotational pendulum system

“…1, composes of a simple pendulum system attached to a rotating base (or mounted on a revolving massless rigid frame) about its neutral axis for large amplitudes of oscillation. The second order differential equation and the initial conditions are given by [1][2][3][4] …”

“…A nonlinear pendulum system attached to a spinning support [1][2][3][4] has a vital impact on mechanical applications. This kind of system is frequently found as essential components to construct a variety of vibration absorbers and fly-ball governors [4][5][6], which are habitually installed in different branches of civil structures and machinery apparatuses.…”

“…This kind of system is frequently found as essential components to construct a variety of vibration absorbers and fly-ball governors [4][5][6], which are habitually installed in different branches of civil structures and machinery apparatuses. To improve the understanding of complex dynamical systems, it is vital to seek exact solutions in order to probe the regular motion or the bifurcation behavior of those systems.…”

Dynamic Analysis of Rotating Pendulum by Hamiltonian Approach

“…This equation has been described in the wind-excited vibration absorber [3] and mechanical and civil structure [4,5] and has received much attention recently. To improve the understanding of dynamical systems, it is important to seek their exact solution.…”

Design and control of a magnetic pendulum actuator

“…The common swing familiar to every child is a pendulum and a number of important applications in sensing and actuation have capitalized on this idea. These include vibration detection and attenuation [1,2], generation of periodic forces [3], generation of vibrations [4], detection of gravitational waves and earthquakes [5 -7] and many others. There are variations on the basic pendulum including inverted pendulums and pendulum-like devices.…”