Rigid rotor dynamic model is widely used to model rotating machinery. In this paper, a speed-varying transient rigid rotor model is developed in the state space form. The states of this model are augmented to include imbalance forces and moments. A time-varying observer can then be designed for the augmented system by using canonical transformation. After obtaining an estimation of the imbalanc...

In this study, dynamic behavior of safety mechanism of a mechanical controller is investigated using 3D-FE simulation. This paper is concentrated on controller of a high acceleration projectile. The controller is located in the top of the projectile. Safety mechanism is divided to deformable and rigid parts. Deformable and rigid parts are simulated in Abaqus and Adams commercial soft wares; res...

Angular momentum is important concept in physics, and its phase space properties are important in various applications. In this work phase space analysis of the angular momentum is made from its classical definition, and by imposing uncertainty principle its quantum properties are obtained. It is shown that kinetic energy operator is derived, but it has different interpretation of its parts tha...

Based on the Riemann fractional derivative the Casimir operators and multiplets for the fractional extension of the rotation group SO(n) are calculated algebraically. The spectrum of the corresponding fractional symmetric rigid rotor is discussed. It is shown, that the rotational, vibrational and γ-unstable limits of the standard geometric collective models are particular limits of this spectru...

A novel attitude tacking control method using Time Delay Control (TDC) scheme is developed to provide robust controllability of a rigid hexacopter in case of single or multiple rotor faults. When the TDC scheme is developed, the rotor faults such as the abrupt and/or incipient rotor faults are considered as model uncertainties. The kinematics, modeling of rigid dynamics of hexacopter, and desig...

In this paper a roll-walking motion of a robot with a multi-rotor drive system is considered. The robot represents a rigid body with the multi-rotor drive system which consists of pairs of conjugate rotors located on the main axes. The multi-rotor drive system allows using conjugate spinups and captures of conjugate rotors to perform roll-walking motion of the robot. To perform a single step of...

A new rigid-rotor Vlasov equilibrium is obtained for an intense, axisymmetric chargedparticle beam with uniform density in the radial direction propagating through a periodic solenoidal focusing field. The beam envelope equation is derived, and examples of periodically focused rigid-rotor Vlasov equilibria are presented. Statistical properties and possible applications of the present beam equil...

This paper investigates active real-time balancing of rigid rotors during the transient time of acceleration. First, the governing equation of motion of a rigid rotor is formulated. A parametric adaptive control scheme is then designed based on this dynamic model. An ordinary recursive least squares estimation method is used to estimate parameters in this adaptive control scheme. A supervisory ...

Stability and control of rotors at high advance ratio are considered. Stability of teetering, articulated, and gimbaled hub types is considered with a simple flapping blade analysis. Rotor control in autorotation for teetering and articulated hub types is examined in more detail for a compound helicopter (rotor and fixed wing) using the comprehensive analysis CAMRAD II. Autorotation is found to...