Nonlinear transient localization and low dimensional models of a flexible system with a clearance

Xianghong Ma, Alexander F. Vakakis

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Transient nonlinear localization in a system of two rods coupled with a nonlinear backlash spring is studied in this work. The method of Karhunen-Loeve (K-L) decomposition is then used to reduce the order of the dynamics, and to study nonlinear effects by considering energy transfers between leading K-L modes. In addition, 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. Reconstructions of transient nonlinear responses using these low dimensional models reveals the accuracy of the order reduction.

Original languageEnglish (US)
Title of host publication17th Biennial Conference on Mechanical Vibration and Noise
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages1925-1933
Number of pages9
ISBN (Electronic)9780791880395
DOIs
StatePublished - 1999
Externally publishedYes
EventASME 1999 Design Engineering Technical Conferences, DETC 1999 - Las Vegas, United States
Duration: Sep 12 1999Sep 16 1999

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
Volume7B-1999

Conference

ConferenceASME 1999 Design Engineering Technical Conferences, DETC 1999
Country/TerritoryUnited States
CityLas Vegas
Period9/12/999/16/99

ASJC Scopus subject areas

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation

Fingerprint

Dive into the research topics of 'Nonlinear transient localization and low dimensional models of a flexible system with a clearance'. Together they form a unique fingerprint.

Cite this