Effects of mistuning on dynamic behavior of nonlinear cyclic systems with lump masses and cubic nonlinearity

¹ Department of Mechanical Engineering, University of Jiroft, Jiroft, Iran
² Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, Iran
³ Departament de Matematica Aplicada III, LaC‘aN, Universitat Polit‘ecnica de Catalunya (UPC), 08034 Barcelona, Spain

^a Corresponding author: ehsan1194@yahoo.com

Received: 19 November 2014
Accepted: 19 October 2015

Abstract

Mistuning in cyclic symmetric systems increases severely the forced response of system and splits the modes. This paper concerns with nonlinear behavior of mistuned cyclic systems. A nonlinear, mistuned model based on the method of multiple scales is proposed and formulated in which nonlinearity and mistuning parameter is assumed to be in of low order. Next, two mistuned systems were considered and solved by the multiple scale technique. Numerical results demonstrate that mistuning can lead to repeating and scattering of jump phenomena during the excitation frequency whereas in tuned cyclic system it occurs simultaneously (synchronously).