A dynamic vibration absorber is a passive device used often to reduce the vibrations in host structures. The potential of harvesting energy out of the motion of vibration absorber has shown promise under harmonic excitations. To achieve this goal, vibration absorber is supplemented with a piezoelectric stack for both vibration confinement and energy harvesting. The primary goal is to control the vibration of the host structure and the secondary goal is to harvest energy out of the dynamic vibration absorber simultaneously. The harvested energy can be used to power low-powered wireless sensor systems used for infrastructural health monitoring. In field applications the excitation frequency may not be harmonic and may have randomness. This manuscript looks into the power harvested by these devices under random excitations. Analytical studies are carried out considering stationary Gaussian white noise excitation within the frequency band of interest. The analytical results show the promise of broadband energy harvesting using the device combined with vibration reduction in the primary structure. © 2016 IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.