Order reduction of nonsmooth structural systems with multiple surfaces of discontinuity

Eric Butcher, Rongdong Lu

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

1 Citation (Scopus)

Abstract

A technique for order reduction of nonsmooth vibrating systems in structural form of arbitrary dimension with multiple surfaces of discontinuity is presented. By utilizing methods based on the bilinear frequency relation which approximates the nonlinear normal mode (NNM) frequencies and mode shapes, reduced order models are constructed which retain the form of the nonsmooth nonlinearity of the full model and more accurately represent the NNM dynamics in the full model than do reduced models obtained via linear transformations. The technique is applied to multi-degree-of-freedom systems with nonsmooth nonlinearities of deadzone and saturation type in which the full and reduced models are compared by direct numerical simulation. The advantages of the present technique include obtaining a reduced order model which uses a subset of the original physical coordinates and can easily accommodate large order systems and multiple nonsmooth nonlinearities with several surfaces of discontinuity. These characteristics make the method practical for use in large-scale structural dynamics applications in which the linear part of the model dominates the dynamics.

Original languageEnglish (US)
Title of host publicationProceedings of the ASME Design Engineering Technical Conference
Pages1167-1176
Number of pages10
Volume5 B
StatePublished - 2003
Externally publishedYes
Event2003 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference - Chicago, IL, United States
Duration: Sep 2 2003Sep 6 2003

Other

Other2003 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference
CountryUnited States
CityChicago, IL
Period9/2/039/6/03

Fingerprint

Linear transformations
Structural dynamics
Direct numerical simulation

Keywords

  • Nonlinear normal modes
  • Nonsmooth systems
  • Order reduction

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Butcher, E., & Lu, R. (2003). Order reduction of nonsmooth structural systems with multiple surfaces of discontinuity. In Proceedings of the ASME Design Engineering Technical Conference (Vol. 5 B, pp. 1167-1176)

Order reduction of nonsmooth structural systems with multiple surfaces of discontinuity. / Butcher, Eric; Lu, Rongdong.

Proceedings of the ASME Design Engineering Technical Conference. Vol. 5 B 2003. p. 1167-1176.

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

Butcher, E & Lu, R 2003, Order reduction of nonsmooth structural systems with multiple surfaces of discontinuity. in Proceedings of the ASME Design Engineering Technical Conference. vol. 5 B, pp. 1167-1176, 2003 ASME Design Engineering Technical Conferences and Computers and Information in Engineering Conference, Chicago, IL, United States, 9/2/03.
Butcher E, Lu R. Order reduction of nonsmooth structural systems with multiple surfaces of discontinuity. In Proceedings of the ASME Design Engineering Technical Conference. Vol. 5 B. 2003. p. 1167-1176
Butcher, Eric ; Lu, Rongdong. / Order reduction of nonsmooth structural systems with multiple surfaces of discontinuity. Proceedings of the ASME Design Engineering Technical Conference. Vol. 5 B 2003. pp. 1167-1176
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