A misaligned rigid rotor system with flexible supports differing from the traditional system, which refers to its practical rotating center line determined by offset theoretical one, often suffers support structure damage risk. In present work, dynamic characteristics of a squirrel cage are focused, and vibrations stress structures under different offsets investigated experimental simulated ana...

We identify a strong similarity among several distinct originally second-class systems, including both mechanical and field theory models, which can be naturally described in gauge-invariant way. The canonical structure of such related systems is encoded into generalization the quantum rigid rotor. perform BRST symmetry analysis BFV functional quantization for mentioned version generalized obta...

The rigid rotor is a classic problem in quantum mechanics, describing the dynamics of body with its center mass held fixed. It well known to describe rotational spectra molecules. configuration space this SO(3), all rotations three dimensions. This topological two types closed loops: trivial loops that can be adiabatically shrunk point and nontrivial cannot. In traditional formulation problem, ...

Automatic balancing devices, comprising several balls in circular tracks, can efficiently compensate rigid rotor unbalance within certain ranges of rotational speed. However, near critical speeds the vibration level can be comparatively high due to the phenomenon, which is similar, but not identical to the well-known Sommerfeld-effect in unbalanced rotors with a limited driving moment. The pres...

A new equilibrium pressure profile extending the Rigid-Rotor (RR) model with a simple unified expression $P=P(\psi;\beta_{s},\alpha, \sigma)$ for both inside and outside separatrix is proposed, in which radial normalized field-reversed configuration (FRC) profiles pressure, magnetic field, current can be determined by only two dimensionless parameters $\beta_s\equiv P_s/2\mu_0B_e^2$ $\delta_s\e...

We analyze the control by electromagnetic fields of quantum systems with infinite dimensional Hilbert space and a discrete spectrum. Based on recent mathematical results, we rigorously show under which conditions such a system can be approximated in a finite dimensional Hilbert space. For a given threshold error, we estimate this finite dimension in terms of the used control field. As illustrat...

This paper addresses the feasibility of using trailing edge flaps to reconfigure a helicopter rotor blade following a failure of the pitch link, which makes the blade freefloating in pitch and otherwise uncontrollable. A coupled rotor-fuselage model is developed which allowed for rotor anisotropy. A new, optimization-based, trim procedure is developed to determine the dynamics of the failed bla...

Rotor imbalances have a significant impact on the level of their vibration and reliability. Reduction rotor is achieved through static dynamic balancing that we propose to accomplish by virtual rigid rotors in two stages. At first stage mutual orientation parts calculated compensate couple unbalance. second values masses angular coordinates correction weights allow eliminating residual imbalanc...