Modelling of nonlinear modal interactions in the transient dynamics of an elastic rod with an essentially nonlinear attachment |
| |
Institution: | 1. Department of Mechanical Engineering, Federal University of Rio Grande do Sul, Rua Sarmento Leite 425, 90050-170 Porto Alegre, RS, Brazil |
| |
Abstract: | We perform system identification and modelling of the strongly nonlinear modal interactions in a system composed of a linear elastic rod with an essentially nonlinear attachment at its end. Our method is based on slow/fast decomposition of the transient dynamics of the system, combined with empirical mode decomposition (EMD) and Hilbert transforms. The derived reduced order models (ROMs) are in the form of sets of uncoupled linear oscillators (termed intrinsic modal oscillators – IMOs), each corresponding to a basic frequency of the dynamical interaction and forced by transient excitations that represent the nonlinear modal interactions between the rod and the attachment at each of these basic frequencies. A main advantage of our proposed technique is that it is nonparametric and multi-scale, so it is applicable to a broad range of linear as well as nonlinear dynamical systems. Moreover, it is computationally tractable and conceptually meaningful, and it leads to reduced order models of rather simple form that fully capture the basic strongly nonlinear resonant interactions between the subsystems of the problem. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|