Equivalent mechanical model of rectangular container attached to a pendulum compared to experimental data and analytical solution

Abstract

A tuned liquid damper (TLD) is a passive control device that transfers kinetic energy from the main structure to a liquid sloshing in a tank. The mechanical description of a sloshing liquid contained in a tank requires an intricate mathematical formulation. An alternative technique describes the TLD dynamic behavior as an equivalent mechanical model comprising a series of pendulums or mass-spring systems attached to the tank walls. To validate this approach, this paper compares the discrete model to experimental results and an analytical solution for a rectangular container attached to a pendulum (pendulum-slosh problem). At first, the fundamental oscillation period of the discrete model, representing a rectangular tank, is compared to experimental data and a classic analytical solution. Finally, we compare the pendulum-slosh problem modeled as a discrete model with the analytical solution and experimental results.

Attitude-pendulum-sloshing coupled dynamics of quadrotors slung liquid containers

“…26–31 However, the previous open-loop controller cannot reject the oscillations caused by external disturbances. All abovementioned works 11–31 are only focused on sloshing dynamics. Additionally, some of works 17–29 described sloshing dynamics using the equivalent mechanical model, such as the pendulum model.…”

“…Meanwhile, many efforts have been devoted to sloshing dynamics in the liquid tank. [11][12][13][14] Baffles and absorbers are widely used to reduce fluid energy. 15 However, weight and complexity of the overall system increase.…”

Dynamic Aeroelastic Response Attenuation of Aerospace Structures Employing Passive Tuned Mass Dampers

“…A particular type of passive vibration attenuation device is the Tuned Mass Damper (TMD), that essentially consists of an auxiliary mass attached to the main structure, which is tuned to partially absorb its kinetic energy. TMD's can be classified into four categories, namely, the tuned liquid column dampers [17], pendular-TMD [18], bidirectional and homogeneous TMD [19], and conventional TMD [20]. A good example of the effectiveness of vibration control of a conventional translational TMD in aerodynamic structures, specifically applied for racing cars, was the Renault R26 prototype, during the 2006 Formula One season [21].…”