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Free vibrations of a linear structure with arbitrary support conditions

Publication ,  Journal Article
Dowell, EH
Published in: Journal of Applied Mechanics, Transactions ASME
January 1, 1971

A method for the analysis of the free vibrations of a linear structure supported in an arbitrary way is presented based upon the use of the normal modes of the unsupported or unconstrained structure in a Rayleigh-Ritz analysis with the support or constraint conditions enforced by means of Lagrange multipliers. The advantages of such a procedure over more conventional methods are discussed. © 1971 by ASME.

Duke Scholars

Published In

Journal of Applied Mechanics, Transactions ASME

DOI

EISSN

1528-9036

ISSN

0021-8936

Publication Date

January 1, 1971

Volume

38

Issue

3

Start / End Page

595 / 600

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4017 Mechanical engineering
  • 4005 Civil engineering
  • 4001 Aerospace engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0901 Aerospace Engineering
 

Citation

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Dowell, E. H. (1971). Free vibrations of a linear structure with arbitrary support conditions. Journal of Applied Mechanics, Transactions ASME, 38(3), 595–600. https://doi.org/10.1115/1.3408860
Dowell, E. H. “Free vibrations of a linear structure with arbitrary support conditions.” Journal of Applied Mechanics, Transactions ASME 38, no. 3 (January 1, 1971): 595–600. https://doi.org/10.1115/1.3408860.
Dowell EH. Free vibrations of a linear structure with arbitrary support conditions. Journal of Applied Mechanics, Transactions ASME. 1971 Jan 1;38(3):595–600.
Dowell, E. H. “Free vibrations of a linear structure with arbitrary support conditions.” Journal of Applied Mechanics, Transactions ASME, vol. 38, no. 3, Jan. 1971, pp. 595–600. Scopus, doi:10.1115/1.3408860.
Dowell EH. Free vibrations of a linear structure with arbitrary support conditions. Journal of Applied Mechanics, Transactions ASME. 1971 Jan 1;38(3):595–600.

Published In

Journal of Applied Mechanics, Transactions ASME

DOI

EISSN

1528-9036

ISSN

0021-8936

Publication Date

January 1, 1971

Volume

38

Issue

3

Start / End Page

595 / 600

Related Subject Headings

  • Mechanical Engineering & Transports
  • 4017 Mechanical engineering
  • 4005 Civil engineering
  • 4001 Aerospace engineering
  • 0913 Mechanical Engineering
  • 0905 Civil Engineering
  • 0901 Aerospace Engineering