Tuned Gyro-Pendulum Stabilizer for Control of Vibrations in Structures

Abstract

A special combined gyro-pendulum stabilizer (a gyroscope with coupling to a pendulum) mounted on a vibrating mass is considered for investigation of the vibration responses. This paper mainly focuses on the derivation of the frequency equations and on finding the required angular momentum for vibration control of the system. Besides, there is also an ANSYS simulation model of gyro-pendulum, which was built to verify the mathematical model. The dynamic responses of both that obtained from ANSYS simulation and that obtained from numerical solving of a Lagrangian mathematical model are analyzed comparatively. The angular momentum ($Omega I_p$), in relation to the natural frequency ($omega_n$) of the primary mass, shows that this vibration control device is more adaptable than other conventional ones by producing unidirectional thrust along the forcing excitation axis whilst the gyroscope is spinning.

Gyroscopic precession control for maneuvering two‐wheeled robot recoil stabilization

“…So, CMG can be used as an indirect robot actuator for balancing two-wheel mobile robots (Amin et al, 2023;Çetin & Ünker, 2023;Ünker, 2022a, 2022b, 2023a. Moreover, CMG gives this two-wheeled robot advantage over conventional robots due to the effect of gyroscopic precession (Amin et al, 2023;Çetin & Ünker, 2023;Song et al, 2023;Ünker, 2020, 2022a, 2022b, 2022c, 2023a, 2023bÜnker & Çuvalcı, 2016a, 2016b, 2019, 2015a, 2015b, 2021. Ünker (2022a, 2023a) proposed this technique for the roll-angle balancing of a two-wheeled robot.…”

Angular Momentum Control for Preventing Rollover of a Heavy Vehicle

“…The rollover preventing the performance of the flywheels for a heavy trailer (an inverted pendulum problem) is investigated at a high road bank angle risk. Flywheels can provide motion control at broadband excitation frequencies because the flywheel speed can exert counter-thrust on any vehicle that can overcome destabi-lizing forces [6,7]. Recently, various studies based on the gyroscopic moment of inertia of a rotating flywheel have eliminated unwanted movements on structures by various methods [5][6][7].…”

“…Flywheels can provide motion control at broadband excitation frequencies because the flywheel speed can exert counter-thrust on any vehicle that can overcome destabi-lizing forces [6,7]. Recently, various studies based on the gyroscopic moment of inertia of a rotating flywheel have eliminated unwanted movements on structures by various methods [5][6][7]. The kinetic energy of a flywheel stabilizer offers weight and volume savings and an unresponsive ride compared to conventional antiroll controllers [5,7].…”

“…Recently, various studies based on the gyroscopic moment of inertia of a rotating flywheel have eliminated unwanted movements on structures by various methods [5][6][7]. The kinetic energy of a flywheel stabilizer offers weight and volume savings and an unresponsive ride compared to conventional antiroll controllers [5,7]. The oscillating motion of the gimbal keeps the mass of the vehicle in stable constant periodic motion in the upright position [5].…”

Proportional control moment gyroscope for two-wheeled self-balancing robot

“…CMG has been widely used to stabilize the unbalanced structure via tilting the gimbal of a rotating flywheel (Defendini et al, 2003; Ünker, 2020; Wasiwitono et al, 2020; Yetkin and Ozguner, 2013). The precession effects of the CMG were used for two-wheeled self-balancing robots to produce more precise and stronger torque than the reaction wheel to prevent the robot from falling (Park and Cho, 2018) and to have better maneuverability (Chen et al, 2016).…”