Elements of Nonlinear System Identification of Broad Applicability

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

Linear modal analysis in the time and frequency domains is well established. Yet, as mechanical systems become increasingly more complex, incorporating electromechanical components or biological and biomimetic elements, the likelihood exists that their dynamics will be strongly nonlinear and nonstationary. Examples of sources of strong nonlinearity, some of which are realized even for small amplitudes of vibration) include local buckling, plastic deformations, clearance and backlash, hysteresis, friction-induced oscillations, and vibro-impact motions. Such effects cannot be accurately addressed by linear modal analysis, since standard techniques, such as the classical FT, and well-established concepts such as normal mode, natural frequency, and modal space cannot be applied to the identification of nonlinear and nonstationary dynamic regimes.

Original languageEnglish (US)
Title of host publicationCISM International Centre for Mechanical Sciences, Courses and Lectures
PublisherSpringer International Publishing
Pages293-324
Number of pages32
DOIs
StatePublished - Jan 1 2014

Publication series

NameCISM International Centre for Mechanical Sciences, Courses and Lectures
Volume555
ISSN (Print)0254-1971
ISSN (Electronic)2309-3706

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ASJC Scopus subject areas

  • Modeling and Simulation
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications

Cite this

Vakakis, A. F. (2014). Elements of Nonlinear System Identification of Broad Applicability. In CISM International Centre for Mechanical Sciences, Courses and Lectures (pp. 293-324). (CISM International Centre for Mechanical Sciences, Courses and Lectures; Vol. 555). Springer International Publishing. https://doi.org/10.1007/978-3-7091-1791-0_7