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It is shown that the modal interactions and sag (although very small) affect the responses significantly.
Several key issues such as non-linear modal interactions and differences between internal static transmission error excitation and external torque excitation are discussed.
We examine two types of shock excitations that excite a subset of plate modes, and systematically study, nonlinear modal interactions and passive broadband targeted energy transfer phenomena occurring between the plate and the attachments.
The effects of modal interactions and nonlinear response characteristics can hamper implementation of high power ultrasonic technologies, due to the resulting modal coupling, increased stress, audible noise levels and poor control of the operating response.
When the structure is excited close to a resonant frequency, very intricate frequency response curves are obtained, which show strong modal interactions and one-to-one-to-one-to-one internal resonance phenomenon.
In ultrasonic devices consisting of serially coupled tuned components, components whose tuned length dimension is large compared to other dimensions, or components with profiles designed for high gain, the response of the device during operation is often characterised by modal interactions, and especially the excitation of combination resonances.
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A parametric analysis using continuation techniques identifies the relevant bifurcations connected with the modal interaction and highlights their relevance in design.
A straightforward method for representing cross-modal interactions and their impact on quality consists of comparing subjective scores obtained for one modality with a fixed quality level and vary, with a sufficient magnitude, the quality level of the other modality.
Specifically, the structure is shown to exhibit particularly interesting nonlinear behaviors, including jumps, modal interactions, force relaxation and chattering during impacts on the mechanical stops.
The theory treats the openness of the cavity exactly and the non-linear modal interactions to infinite order; and has been shown to be very accurate for N-level lasers, even for multimode lasing high above threshold, in a large parameter regime.
This work addresses friction-induced modal interactions in jointed structures, and their effects on the passive mitigation of vibrations by means of friction damping.
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