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The modal summation technique is used to find the forced response due to periodic gear mesh excitations under constant or proportional modal damping conditions.
Realistic synthetic strong motion waveforms are computed for scenario earthquakes (M=7) applying a hybrid modelling method, based on the modal summation technique and finite differences scheme.
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The modal summation is them performed over all contributing mode groups.
The numerical results from the modal summation are compared with established formulae for rectangular plates.
The modal summation method to compute synthetic seismograms is applied to carry out a study of seismic zonation in Albania.
The effects of coupling stiffness and modal summation bandwidth are studied.
Static condensation and a modal summation method are applied to reduce the number of degrees of freedom.
The overall formulation is based on a standard modal summation approach, and the focus of this work is the calculation of the modal force matrix.
In the deterministic analysis, the effect of mutual impedance by water loading on the velocity of the plate is illustrated analytically by using a modal summation method.
Periodic boundary conditions are supported by means of an Ewald summation technique.
The periodic summations that arise in the formulation were well handled by Ewald summation technique to speed up the convergence rate in the computation.
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