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The first type involves the directly excited mode only, while for some parameter combinations the non-linear damping terms excite the second mode also, even when no internal resonance is present.
In both cases, we assume that the excited mode is not involved in an autoparametric resonance with any other mode.
This provides a unique feature for MAF, by extending its domain of capabilities from controlling a certain mode of vibrations to any excited mode.
The results show that the internal resonance is responsible for coupling of the modes involved and that the excited mode is not necessarily the dominant one.
Analytical solutions, in the form of non-dimensional polynomial equations, are derived for the steady state vibration amplitudes in up to three modes simultaneously: the directly excited mode, the corresponding nonlinearly coupled mode in the orthogonal plane and a parametrically excited mode with half the natural frequency.
Such waves, called solitons, usually travel with just one excited "mode" or intensity peak, but in the 25 May issue of Physical Review Letters a team reports that a crystal can focus laser light into a soliton with multiple modes, which could carry information.
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The system exhibits response in the directly excited and indirectly excited modes due to modal interaction.
Results give a reduced number of excited modes.
The interference of these excited modes produces self-images at periodic intervals along the NCF.
Also, the internal resonance causes a saturation phenomenon and a role reversal between the directly and indirectly excited modes.
The member vortex induced vibration response for the excited modes is generated by using a semi-empirical formulation.
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