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Chaotic oscillations in mechanical systems

Publication ,  Journal Article
Dowell, E
Published in: Computers and Structures
January 1, 1988

Chaotic oscillations have now been observed in nonlinear mechanical systems using analytical, numerical, and experimental methods. Nevertheless, a more fundamental understanding of why and when such oscillations occur is of great importance. This goal will be pursued here by considering the relationship between chaos induced by forced oscillations versus self-excited oscillations, the relationship of indeterminancy of the final equilibrium state in the initial value problem to chaos in the sustained oscillation problem, comparison of theory to physical experiment, necessary and sufficient conditions for chaos to occur, and the question of convergence of systems of modal ordinary differential equations that derive from partial differential equations. © 1988.

Duke Scholars

Published In

Computers and Structures

DOI

ISSN

0045-7949

Publication Date

January 1, 1988

Volume

30

Issue

1-2

Start / End Page

171 / 184

Related Subject Headings

  • Applied Mathematics
  • 40 Engineering
  • 09 Engineering
 

Citation

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Chicago
ICMJE
MLA
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Dowell, E. (1988). Chaotic oscillations in mechanical systems. Computers and Structures, 30(1–2), 171–184. https://doi.org/10.1016/0045-7949(88)90225-8
Dowell, E. “Chaotic oscillations in mechanical systems.” Computers and Structures 30, no. 1–2 (January 1, 1988): 171–84. https://doi.org/10.1016/0045-7949(88)90225-8.
Dowell E. Chaotic oscillations in mechanical systems. Computers and Structures. 1988 Jan 1;30(1–2):171–84.
Dowell, E. “Chaotic oscillations in mechanical systems.” Computers and Structures, vol. 30, no. 1–2, Jan. 1988, pp. 171–84. Scopus, doi:10.1016/0045-7949(88)90225-8.
Dowell E. Chaotic oscillations in mechanical systems. Computers and Structures. 1988 Jan 1;30(1–2):171–184.
Journal cover image

Published In

Computers and Structures

DOI

ISSN

0045-7949

Publication Date

January 1, 1988

Volume

30

Issue

1-2

Start / End Page

171 / 184

Related Subject Headings

  • Applied Mathematics
  • 40 Engineering
  • 09 Engineering