Nonlinear Behavior Characterization of a 3-Layer Laminated Cantilever Beam System

Abstract

This research aims to characterize the nonlinear responses of a 3-layer laminated composite cantilever beam systemsubjected to evenly distributed dynamic excitations, with the employment of the Periodicity Ratio (PR) method. Periodic, quasiperiodic, chaotic behaviors especially the behaviors in between period and quasiperiod of the cantilever beam system are quantitatively described. A periodic-quasiperiodic-chaotic region diagram is developed to be used for identifying the global behaviors of the cantilever beam system with a large range of parameters. The research approach demonstrates that the PR method is effective and powerful in analyzing the complex dynamical characteristics of nonlinear cantilever beam systems, and the approach shows significances for industrial application and further nonlinear research in this area.

Keywords

• laminated composite cantilever beam
• nonlinear dynamic system
• periodicity ratio method
• periodicity
• quasiperiodicity
• chaos