Sentence examples for multiple internal resonances from inspiring English sources

It was observed that multiple internal resonances could induce large amplitude vibrations of the entire bridge, including the "beat vibration" of long-cables.

The presence of multiple internal resonances, which involve interactions among the first five modes and are extremely complex, have been discovered by including higher harmonics in the analysis.

In the present study, the nonlinear response of a shallow suspended cable with multiple internal resonances to the primary resonance excitation is investigated.

The dynamic behavior of structural systems may be strongly characterized by the occurrence of multiple internal resonances for particular combinations of the mechanical parameters.

Special attention is given to the nonlinear oscillations at multiple internal resonances, and to its influence on the bifurcations and instabilities of the structure, a problem not tackled in the previous literature on the subject.

As a result of this hardening device the non-linear system exhibits multiple internal resonances, which involve various degree of coupling between the first five modes of the beam in free vibration.

The method of multiple scales is developed to analyze the effects of internal resonances on the steady-state responses to external excitations in the nonlinear boundary problem of the partial differential equations.

Afterwards, the approximate analytic solutions of frequency-amplitude response of the antenna system under 2 1 or 3 1 internal resonances are derived by using the method of multiple scales.

Then, in the absence of the primary and internal resonances, the frequency response equations are obtained by using the multiple scales method.

An order two multiple time scales solution is obtained for the case of primary external resonance and three simultaneous internal resonances (cable at crossover frequency).

Several internal resonances are detected.