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Vibrations of cylindrical shells parametrically excited by axial forcing are considered.
This analysis is applied to the reacting flow field of a perfectly premixed swirl-stabilized combustor that is subjected to strong axial forcing mimicking thermoacoustic oscillations.
Two main results constitute this study: First, the obtained results reveal that flame response to transverse acoustic pressure fluctuations is quantitatively different when compared to axial forcing for low frequencies.
Second, transverse acoustic velocity affects flame response to axial forcing such that the effects are dependent on the amplitude of transverse velocity fluctuations, the phase difference between axial and transverse forcing, and the inherent asymmetry of the flame.
A number of methods are investigated for obtaining a low-dimensional dynamical system from a set of partial differential equations describing the non-linear vibrations of a shallow cylindrical panel under periodic axial forcing.
Similar(55)
Axial force.
Internal axial force.
b Transverse beam axial force.
a In-plane beam axial force.
All members resist purely axial forces.
The largest axial forces are generated in the third segment.
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