Abstract
The effect of a moving harmonic force that acts upon either a string or a beam is analyzed according to its spectral wave-number components and the decaying components of the flexural vibrations. The speed of motion of the force is nondimensionalized with respect to the wave flexural speed. For a string, the wave number of the right traveling disturbance increases monotonically at subsonic speeds; at supersonic speeds both wave numbers lead to left traveling waves which decrease as a function of Mach number. For a beam, the effect of the motion is to produce one right traveling wave, with an everincreasing wave number, and three disturbances which propagate and decay behind the forcing function. The decaying modes, at a Mach number of two, become traveling modes. The critical Mach number of two corresponds to a speed of the force equal to the group velocity at that frequency.
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