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Reconstructing the Cross-Sectional Area of an Axially Vibrating Non-Uniform Rod from One of Its Mode Shapes

✍ Scribed by Yitshak M. Ram and Isaac Elishakoff

Book ID: 125072627
Publisher: The Royal Society
Year: 2004
Tongue: English
Weight: 309 KB
Volume: 460
Category: Article
ISSN: 0962-8444
DOI: 10.2307/4143110

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The transverse vibration of a type of slender beam of continuously varying rectangular cross-section is considered in this paper. One side of the cross-section is constant, while the other side is proportional to the square root of the axial co-ordinate. It is assumed that the beam dimensions are su