scholarly journals Dynamics of coupled vibration modes in a quantum non-linear mechanical resonator

2016 ◽  
Vol 76 ◽  
pp. 181-186 ◽  
Author(s):  
G. Labadze ◽  
M. Dukalski ◽  
Ya. M. Blanter
Keyword(s):  
Vibration Modes ◽  
Coupled Vibration ◽  
Mechanical Resonator ◽  
Non Linear

Coupled vibration modes

1975 ◽  
Vol 38 (1) ◽  
pp. 27-37 ◽  
Author(s):  
J.G.A. Croll
Keyword(s):  
Vibration Modes ◽  
Coupled Vibration

Coupled Blade-Disk-Shroud Flutter Instabilities in Turbojet Engine Rotors

1967 ◽  
Vol 89 (3) ◽  
pp. 419-426 ◽  
Author(s):  
F. O. Carta
Keyword(s):  
Energy Method ◽  
Empirical Data ◽  
Parametric Study ◽  
Vibration Modes ◽  
Coupled Vibration ◽  
Flutter Instability ◽  
Rotating Blade ◽  
Turbojet Engine ◽  
High Incidence ◽  
Engine Rotors

An energy method is used to investigate a flutter instability of turbojet engine rotors which is caused by the interactions between unsteady air loading and the coupled vibration modes of the rotating blade-disk-shroud system. It is shown, analytically, in this parametric study that under certain circumstances the coupling between blade modes permits the transfer of energy from the air to the blade-disk-shroud system, giving rise to a self-excited instability. Both unsteady potential flow theory and empirical data for oscillating airfoils at high incidence are used.

Analysis of coupled vibration modes by use of holographic interferometry and finite elements method

1995 ◽  
Author(s):  
Luigi Balis-Crema ◽  
Michele A. Caponero ◽  
Antonio Castellani ◽  
Alberto De Angelis ◽  
G. Ermio
Keyword(s):  
Finite Elements ◽  
Holographic Interferometry ◽  
Finite Elements Method ◽  
Vibration Modes ◽  
Coupled Vibration

Stability of Cracked Rotors in the Coupled Vibration Mode

1988 ◽  
Vol 110 (3) ◽  
pp. 356-359 ◽  
Author(s):  
C. A. Papadopoulos ◽  
A. D. Dimarogonas
Keyword(s):  
Harmonic Functions ◽  
Vibration Mode ◽  
Coupling Effect ◽  
Equations Of Motion ◽  
Vibration Modes ◽  
Coupled Vibration ◽  
Compliance Matrix ◽  
Stiffness Coefficients ◽  
Local Flexibility

A transverse surface crack is known to add to a shaft a local flexibility due to the stress-strain singularity in the vicinity of the crack tip. This flexibility can be represented, in the general case by way of a 6 × 6 compliance matrix describing the local flexibility in a short shaft element which includes the crack. This matrix has off-diagonal terms which cause coupling along the directions which are indicated by the off-diagonal terms. In addition, when the shaft rotates the crack opens and closes. Then the differential equations of motion have periodically varying stiffness coefficients and the solution can be expressed as a sum of harmonic functions of time. A method for the determination of the intervals of instability of the first and of second kind is developed. The results have been presented in stability charts in the frequency vs. depth of the crack domain. The coupling effect due to the crack leads to very interesting results such as new frequencies and vibration modes.

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