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By incorporating the description of radiation modes, this equation of natural mode expansions is used to study the coupling among vibration modal amplitudes due to the modal cross-impedances and the convergence of near and farfield solutions.
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The source parameters are restored from the converged modal amplitudes.
The dynamic response of the trailing model has been analysed by studying cross-flow and in-line amplitudes, dominant frequencies and modal amplitudes.
Modal parameters (resonant frequencies and modal amplitudes) for the bridge are extracted from the measured frequency response functions.
Modal amplitudes are subsequently calculated using matrix equations obtained by enforcing boundary conditions.
Excellent accuracy is demonstrated by the method in predicting the modal amplitudes and frequencies.
Transforming the equation variables into velocity modal co-ordinates yields the equation for the submerged structure of which the unknown variable is the set of radiation modal amplitudes.
By using the estimated modal amplitudes, the near-field pressure is re-calculated and compared with the measured pressure.
Galerkin's method is used to derive modal amplitude equations.
The contribution of participating modes to flutter instability is given in terms of modal amplitude and modal energy in the multimode method.
The most relevant modal results addressed consist of (i) load-deflection curves determined on the basis of pre-selected deformation mode sets, (ii) modal participation diagrams and (iii) modal amplitude functions.
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