title: On the existence of chaotic circumferential waves in spinning disks.
abstract: We use a third-order perturbation theory and Melnikov's method to prove the existence of chaos in spinning circular disks subject to a lateral point load. We show that the emergence of transverse homoclinic and heteroclinic points lead, respectively, to a random reversal in the traveling direction of circumferential waves and a random phase shift of magnitude pi for both forward and backward wave components. These long-term phenomena occur in imperfect low-speed disks sufficiently far from fundamental resonances.
authors.affiliation: Center of Excellence in Design, Robotics and Automation, Department of Mechanical Engineering, Sharif University of Technology, P.O. Box 11365-9567, Azadi Avenue, Tehran, Iran. arzhang_a@mehr.sharif.edu
authors.forename: Arzhang
authors.initials: A
authors.lastname: Angoshtari
authors.forename: Mir Abbas
authors.initials: MA
authors.lastname: Jalali