Turbo generator shafts are often subjected to cyclic torsion resulting in formation of large longitudinal cracks as well as circumferential cracks. The presence of these cracks could greatly impact the shaft resonance frequencies. In this paper, dynamic response of a shaft with longitudinal and circumferential cracks is investigated through a comprehensive analytical study. The longitudinally c...

For every positive regular Borel measure, possibly infinite valued, vanishing on all sets of p-capacity zero, we characterize the compactness of the embedding W (R ) ∩ L(R , μ) ↪→ L(R ) in terms of the qualitative behavior of some characteristic PDE. This question is related to the well posedness of a class of geometric inequalities involving the torsional rigidity and the spectrum of the Diric...

Tapered optical fibers with a nanofiber waist are widely used tools for efficient coupling of light to photonic devices or quantum emitters via the nanofiber’s evanescent field. In order to ensure well-controlled coupling, the phase and polarization of the nanofiber guided light field have to be stable. Here, we show that in typical tapered optical fibers these quantities exhibit high-frequency...

The capacity for short-term adaptation is a well-established property of the horizontal (H) and vertical (V) components of saccades. It allows these directional components, which clearly serve the goal of foveation, to maintain their precision even under changing circumstances. Torsional (T) saccade components, on the other hand, which deal with the orientation of the target on the fovea, have ...

Complex rotating machine trains especially trains including electric machines are subject to the most varied and often most severe torsional disturbances. If shaft or rotating component failures occur as a result of torsional oscillations, the consequences can be catastrophic. In this paper a comprehensive model and simulation method using analytical formulations are developed to study both ste...

Trains including reciprocating machines are subject to the most varied and often most severe torsional disturbances in comparison to other machinery classes. If crankshaft or rotating component failures occur as a result of shaft torsional oscillations, the consequences can be catastrophic. In this paper a new comprehensive model and solution method using analytical formulations are developed t...

field observations of the incurred damages to the buildings and bridges due to earthquakes in near field show there are various failure modes which are in relation to the forces caused by vertical component. while vertical component of earthquake for ordinary buildings in most seismic regulations and standards is not considered. therefore, in the current study the effects of vertical and horizo...

In the fluorescence excitation spectrum of acetaldehyde cooled in a supersonic jet, we performed a full rotational analysis of combination bands 100 140 150 n and 100 140 150 n , n50 – 4 in the system ÃA9– X̃A8. The vibrational frequency of the C–C–O bending mode is determined to be n10 8 5373.163(3) cm. The rotational structures of combination bands 100 140 150 , 100 140 150 , 100 140 150 , and...

Evaluation of the torsional vibration characteristics of a crankshaft system is indispensable to the development of marine diesel engines. It influences the selection or decision about shafting components such as the flywheel, torsional damper, generator and even modification of the crankshaft itself. In this paper, experimental and analytical investigations of torsional vibration were carried ...

Resonance Raman excitation profiles have been measured for the bovine visual pigment rhodopsin using excitation wavelengths ranging from 457.9 to 647.1 nm. A complete Franck-Condon analysis of the absorption spectrum and resonance Raman excitation profiles has been performed using an excited-state, time-dependent wavepacket propagation technique. This has enabled us to determine the change in g...