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Free vibrations of imperfect cantilever bars under self-weight loading

Publication ,  Journal Article
Virgin, LN
Published in: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
January 1, 1987

This brief study examines the relationship between the natural frequency of small oscillations and the length of vertical cantilever struts in a gravitational field. The analysis uses a Rayleigh approach and includes post-buckled equilibrium states and emphasizes the influence of initial imperfections. © 1987, Institution of Mechanical Engineers. All rights reserved.

Duke Scholars

Published In

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

DOI

EISSN

2041-2983

ISSN

0954-4062

Publication Date

January 1, 1987

Volume

201

Issue

5

Start / End Page

345 / 347

Related Subject Headings

  • 4017 Mechanical engineering
  • 4007 Control engineering, mechatronics and robotics
  • 0913 Mechanical Engineering
 

Citation

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ICMJE
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Virgin, L. N. (1987). Free vibrations of imperfect cantilever bars under self-weight loading. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 201(5), 345–347. https://doi.org/10.1243/PIME_PROC_1987_201_133_02
Virgin, L. N. “Free vibrations of imperfect cantilever bars under self-weight loading.” Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 201, no. 5 (January 1, 1987): 345–47. https://doi.org/10.1243/PIME_PROC_1987_201_133_02.
Virgin LN. Free vibrations of imperfect cantilever bars under self-weight loading. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 1987 Jan 1;201(5):345–7.
Virgin, L. N. “Free vibrations of imperfect cantilever bars under self-weight loading.” Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, vol. 201, no. 5, Jan. 1987, pp. 345–47. Scopus, doi:10.1243/PIME_PROC_1987_201_133_02.
Virgin LN. Free vibrations of imperfect cantilever bars under self-weight loading. Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science. 1987 Jan 1;201(5):345–347.
Journal cover image

Published In

Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science

DOI

EISSN

2041-2983

ISSN

0954-4062

Publication Date

January 1, 1987

Volume

201

Issue

5

Start / End Page

345 / 347

Related Subject Headings

  • 4017 Mechanical engineering
  • 4007 Control engineering, mechatronics and robotics
  • 0913 Mechanical Engineering