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Time Domain Dynamic Simulations of Locally Nonlinear Large-Scale Systems
Linnaeus University, Faculty of Technology, Department of Mechanical Engineering. (Maskinteknik)ORCID iD: 0000-0002-4404-5708
Linnaeus University, Faculty of Technology, Department of Mechanical Engineering. (Maskinteknik)
Chalmers University of Technology. (Strukturdynamik)
2016 (English)In: Presented at Aerospace technology congress: The Swedish Aeronautics Congress in a Globaised world, October 11-12, 2016, 2016Conference paper, Oral presentation with published abstract (Other academic)
Abstract [en]

In practice, most mechanical systems show nonlinear characteristics within the operational envelope. However, the nonlinearities are often caused by local phenomena and many mechanical systems can be well represented by a linear model enriched with local nonlinearities. Conventional nonlinear response simulations are often computationally intensive; the problem which becomes more severe when large-scale nonlinear systems are concerned. Thus, there is a need to further develop efficient simulation techniques. In this work, an efficient simulation method for large-scale systems with local nonlinearities is proposed. The method is formulated in a state-space form and the simulations are done in the Matlab environment. The nonlinear system is divided into a linearized system and a nonlinear part represented as external nonlinear forces acting on the linear system; thus taking advantage in the computationally superiority in the locally nonlinear system description compared to a generally nonlinear counterpart. The triangular-order hold exponential integrator is used to obtain a discrete state-space form. To shorten the simulation time additionally, auxiliary matrices, similarity transformation and compiled C-codes (mex) to be used for the time integration are studied. Comparisons of the efficiency and accuracy of the proposed method in relation to simulations using the ODE45 solver in Matlab and MSC Nastran are demonstrated on numerical examples of different model sizes.

Place, publisher, year, edition, pages
2016.
Keyword [en]
efficient time integration, triangular-order hold, state-space, locally nonlinear systems, C-code/mex
National Category
Aerospace Engineering
Research subject
Technology (byts ev till Engineering), Mechanical Engineering
Identifiers
URN: urn:nbn:se:lnu:diva-57377OAI: oai:DiVA.org:lnu-57377DiVA: diva2:1034733
Conference
Aerospace technology congress, The Swedish Aeronautics Congress in a Globaised world, October 11-12, 2016
Projects
NFFP5
Funder
VINNOVA
Available from: 2016-10-12 Created: 2016-10-12 Last updated: 2017-03-09Bibliographically approved

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf