Out-of-plane vibration of a multi-span Timoshenko curved beam due to a moving load including the warping inertia of the beam

Rong Tyai Wang; Ju Chya Tsu

doi:10.1080/02533839.2001.9670638

Out-of-plane vibration of a multi-span Timoshenko curved beam due to a moving load including the warping inertia of the beam

Rong Tyai Wang, Ju Chya Tsu

Department of Engineering Science

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

The governing equations for the out-of-plane motion of a multi-span Timoshenko curved beam are derived. The warping inertia and flexural moment of the cross-section of the curved beam are included. An analytical method is presented to calculate the modal frequencies and their corresponding sets of mode shape functions for the out-of-plane motion of the curved beam. Further, the orthogonality of two sets of mode shape functions corresponding to any two distinct modal frequencies for the out-of-plane motion of the curved beam is derived. The basic characteristics of strain energy density of the curved beam due to a moving load are investigated.

Original language	English
Pages (from-to)	407-417
Number of pages	11
Journal	Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an
Volume	24
Issue number	4
DOIs	https://doi.org/10.1080/02533839.2001.9670638
Publication status	Published - 2001 Jan 1

All Science Journal Classification (ASJC) codes

Engineering(all)

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10.1080/02533839.2001.9670638

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title = "Out-of-plane vibration of a multi-span Timoshenko curved beam due to a moving load including the warping inertia of the beam",

abstract = "The governing equations for the out-of-plane motion of a multi-span Timoshenko curved beam are derived. The warping inertia and flexural moment of the cross-section of the curved beam are included. An analytical method is presented to calculate the modal frequencies and their corresponding sets of mode shape functions for the out-of-plane motion of the curved beam. Further, the orthogonality of two sets of mode shape functions corresponding to any two distinct modal frequencies for the out-of-plane motion of the curved beam is derived. The basic characteristics of strain energy density of the curved beam due to a moving load are investigated.",

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Out-of-plane vibration of a multi-span Timoshenko curved beam due to a moving load including the warping inertia of the beam. / Wang, Rong Tyai; Tsu, Ju Chya.

In: Journal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an, Vol. 24, No. 4, 01.01.2001, p. 407-417.

Research output: Contribution to journal › Article › peer-review

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