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Free vibrations of an arbitrary structure in terms of component modes

Publication ,  Journal Article
Dowell, EH
Published in: Journal of Applied Mechanics, Transactions ASME
January 1, 1972

A method for the analysis of the free vibrations of an arbitrary structure in terms of component modes is presented based upon the use of the normal, free-free modes of the components in a Rayleigh-Ritz analysis with the constraint or continuity conditions between components enforced by means of Lagrange multipliers. Several examples are given and the advantages of such a procedure over more conventional methods are discussed. © 1972 by ASME.

Duke Scholars

Published In

Journal of Applied Mechanics, Transactions ASME

DOI

EISSN

1528-9036

ISSN

0021-8936

Publication Date

January 1, 1972

Volume

39

Issue

3

Start / End Page

727 / 732

Related Subject Headings

  • Mechanical Engineering & Transports
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0901 Aerospace Engineering
 

Citation

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ICMJE
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Dowell, E. H. (1972). Free vibrations of an arbitrary structure in terms of component modes. Journal of Applied Mechanics, Transactions ASME, 39(3), 727–732. https://doi.org/10.1115/1.3422780
Dowell, E. H. “Free vibrations of an arbitrary structure in terms of component modes.” Journal of Applied Mechanics, Transactions ASME 39, no. 3 (January 1, 1972): 727–32. https://doi.org/10.1115/1.3422780.
Dowell EH. Free vibrations of an arbitrary structure in terms of component modes. Journal of Applied Mechanics, Transactions ASME. 1972 Jan 1;39(3):727–32.
Dowell, E. H. “Free vibrations of an arbitrary structure in terms of component modes.” Journal of Applied Mechanics, Transactions ASME, vol. 39, no. 3, Jan. 1972, pp. 727–32. Scopus, doi:10.1115/1.3422780.
Dowell EH. Free vibrations of an arbitrary structure in terms of component modes. Journal of Applied Mechanics, Transactions ASME. 1972 Jan 1;39(3):727–732.

Published In

Journal of Applied Mechanics, Transactions ASME

DOI

EISSN

1528-9036

ISSN

0021-8936

Publication Date

January 1, 1972

Volume

39

Issue

3

Start / End Page

727 / 732

Related Subject Headings

  • Mechanical Engineering & Transports
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0901 Aerospace Engineering