Nonlinear transient localization and beat phenomena due to backlash in a coupled flexible system

Xianghong Ma, Alexander F. Vakakis

Research output: Contribution to journalArticle

Abstract

Transient nonlinear localization and beat phenomena are studied in a system of two rods coupled with a nonlinear backlash spring. The method of Karhunen-Loeve (K-L) decomposition is used to reduce the order of the dynamics, and to study nonlinear effects by considering energy transfers between leading K-L modes. The computed K-L modes are used to discretize the governing partial differential equations, thus creating accurate and computationally efficient low-dimensional nonlinear models of the system. Reconstruction of transient nonlinear responses using these low dimensional models reveals the accuracy of the order reduction. Poincaré maps are utilized to study the nonlinear localization and beat phenomena caused by the clearance connecting the coupled rods.

Original languageEnglish (US)
Pages (from-to)36-44
Number of pages9
JournalJournal of Vibration and Acoustics, Transactions of the ASME
Volume123
Issue number1
DOIs
StatePublished - Jan 2001

ASJC Scopus subject areas

  • Acoustics and Ultrasonics
  • Mechanics of Materials
  • Mechanical Engineering

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