Overview

This two-volume set provides a comprehensive study of fractional random vibration from the perspective of theory and practice. Volume II provides the analytical expressions for the responses of seven classes of fractional vibration systems excited by six types of random processes.

Details of Fractional Vibrations

It examines the responses of seven classes of fractional vibrations driven by five fractional processes, namely, fractional Gaussian noise, generalized fractional Gaussian noise, fractional Brownian motion, fractional Ornstein-Uhlenbeck process, the process with the von Karman spectrum, and the process with the Pierson-Moskowitz spectrum.

Application and Focus

The present results apply the theories discussed in Volume I to the novel and cutting-edge topic of fractional processes, with a special focus on fractional vibration systems for marine structures influenced by the Pierson-Moskowitz and von Karman spectra.

Intended Audience

The title will be essential reading for students, mathematicians, physicists, and engineers interested in fractional random vibration phenomena.