Consider the dynamics of two point masses on a surface constant curvature subject to an attractive force analogue Newton’s inverse square law, that is under ’cotangent’ potential. When distance between bodies sufficiently small, reduced equations motion may be seen as perturbation integrable system. We take suitable action-angle coordinates average these perturbing terms and describe dynamical ...

in this paper an optimal controller is proposed for a self-balancing electrical vehicle called segway pt. this vehicle has one platform and two wheels on the sides and the rider stands on the platform. a handlebar, as a navigator, is attached to the body of segway, with which the rider controls the vehicle. since segway uses electrical energy produced by batteries, resource consumption manageme...

The gimbal stabilization mechanism system is used to provide the stability to an object mounted on the gimbal by isolating it from the base angular motion and vibration. In this paper the model of one axis gimbal system with dynamics flying object is introduced. The gimbal torque relationships are obtained using Newton’s second law equation on the assumption that gimbal is rigid body. The syste...

This paper presents an original interactive analysis method consisting of mathematical calculation based on theoretical mechanics and mechanics of materials, and dynamics simulation for quantifying outrigger reaction forces of a kind of hydraulic mobile crane, aiming to avoid the eventualities during normal operation as far as possible, for example, tipping-over. First, a three dimensional dyna...