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Numerical simulations of jump phenomena in stable Duffing systems

Publication ,  Journal Article
Fang, T; Dowell, EH
Published in: International Journal of Non-Linear Mechanics
January 1, 1987

In this paper the jump phenomena in quasilinear Duffing systems under sinusoidal and narrow band random excitations are examined by numerical simulations. The simulation results for sinusoidal excitations agree very well with analytical solutions obtained by the equivalent linearization method. The results showing the sensitivity of the periodic responses to the initial conditions are believed to be the first published in the literature. The simulation results for narrow band random excitations confirm that multi-level mean square responses can occur for mono-level excitations, but only for very narrow bandwidth excitations. The multi-level random responses are also sensitive to initial conditions. As the bandwidth of the excitation broadens, the multi-level responses merge into a single level one. © 1987.

Duke Scholars

Published In

International Journal of Non-Linear Mechanics

DOI

ISSN

0020-7462

Publication Date

January 1, 1987

Volume

22

Issue

3

Start / End Page

267 / 274

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4901 Applied mathematics
  • 4017 Mechanical engineering
  • 4005 Civil engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0102 Applied Mathematics
 

Citation

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ICMJE
MLA
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Fang, T., & Dowell, E. H. (1987). Numerical simulations of jump phenomena in stable Duffing systems. International Journal of Non-Linear Mechanics, 22(3), 267–274. https://doi.org/10.1016/0020-7462(87)90009-6
Fang, T., and E. H. Dowell. “Numerical simulations of jump phenomena in stable Duffing systems.” International Journal of Non-Linear Mechanics 22, no. 3 (January 1, 1987): 267–74. https://doi.org/10.1016/0020-7462(87)90009-6.
Fang T, Dowell EH. Numerical simulations of jump phenomena in stable Duffing systems. International Journal of Non-Linear Mechanics. 1987 Jan 1;22(3):267–74.
Fang, T., and E. H. Dowell. “Numerical simulations of jump phenomena in stable Duffing systems.” International Journal of Non-Linear Mechanics, vol. 22, no. 3, Jan. 1987, pp. 267–74. Scopus, doi:10.1016/0020-7462(87)90009-6.
Fang T, Dowell EH. Numerical simulations of jump phenomena in stable Duffing systems. International Journal of Non-Linear Mechanics. 1987 Jan 1;22(3):267–274.
Journal cover image

Published In

International Journal of Non-Linear Mechanics

DOI

ISSN

0020-7462

Publication Date

January 1, 1987

Volume

22

Issue

3

Start / End Page

267 / 274

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4901 Applied mathematics
  • 4017 Mechanical engineering
  • 4005 Civil engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0102 Applied Mathematics