THE CONTRIBUTION OF MOMENT EXCITATION ON THE UNCERTAINTY IN THE VIBRATION INPUT POWER TO A STRUCTURE

Abstract

In structural dynamic systems, there is inevitable uncertainty in the input power from a source to a receiver. Apart from the non-deterministic properties of the vibration source and receiver, there is also uncertainty in the excitation. This comes from the uncertainty of the forcing location on the receiver, its relative phase, its amplitude distribution at multiple contact points and also the spatial separation of these points. Moreover, the uncertainty becomes more significant as only translational force is considered while the moment excitation is often excluded in the calculation. This paper investigates the effect of moment excitation on the uncertainty in the vibration input power to a structure. Quantification of the uncertainty using possibilistic and probabilistic approaches are made. These provide the maximum and minimum bounds and the statistics of the input power, respectively. Expressions for the bounds, mean and variance are presented as well as the frequency band-averaged results

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