Model of a Simple Vibration Neutralizer

The primary system is assumed to be an undamped single-degree-of-freedom system of mass and stiffness . The secondary system (the neutralizer) consists of mass attached to the primary using a spring of stiffness . The primary system is subjected to a harmonic excitation as shown in figure 16.1.

Figure 16.1: Vibration neutralizer

The responses of the masses from their respective equilibrium positions are denoted as for and for . The equations of motion for the masses can be written as

	(16.1)
	(16.2)