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University of Illinois at Urbana-Champaign

Global bifurcations and chaos in nonlinear mechanical systems

Abstract

dc:description

The local and global bifurcation behavior of various structural and mechanical systems have been examined in detail. The analysis is divided into three main parts. In the first part, global bifurcation analysis is performed for externally excited nonlinear systems with initial imperfections and a semisimple linear operator. Explicit restrictions are obtained on parameters where such systems can exhibit chaotic dynamics. The results are demonstrated on a shallow arch system, which is subjected to a spatio-temporal loading, under various resonance conditions.

Degree

thesis:*
Name thesis:degree_name
Ph.D.
Level thesis:degree_level
Dissertation
Discipline thesis:degree_discipline
Aerospace Engineering
Grantor
University of Illinois at Urbana-Champaign
Year dc:date
2011

Author and committee

dc:creator, dc:contributor.*
Author dc:creator
  • Malhotra, Naresh K.
Contributors dc:contributor
  • Namachchivaya, N. Sri

Subjects

dc:subject × 3

Rights

dc:rights
Statement dc:rights
  • Copyright 1995 Malhotra, Naresh K.
Language dc:language
eng

Identifiers

dc:identifier.*
Identifier
AAI9624424
(UMI)AAI9624424
OAI identifier oai:identifier
oai:www.ideals.illinois.edu:2142/19492

Chain of custody

source
Harvested from
University of Illinois - Urbana-Champaign
Base URL
www.ideals.illinois.edu/oai-pmh
Last updated
2026-07-22
Source record
OAI-PMH GetRecord
citation

Malhotra, Naresh K.. Global bifurcations and chaos in nonlinear mechanical systems. Dissertation thesis, University of Illinois at Urbana-Champaign, 2011. http://hdl.handle.net/2142/19492