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

3 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

All Science Journal Classification (ASJC) codes

Engineering(all)

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10.1080/02533839.2001.9670638

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@article{a09303f0072c4648902e51b1d323d7ef,

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.",

author = "Wang, {Rong Tyai} and Tsu, {Ju Chya}",

note = "Funding Information: This study was supported by the National Science Council, R.O.C., under contract No. NSC89-2212-E-006-122. This support is gratefully acknowledged.",

year = "2001",

doi = "10.1080/02533839.2001.9670638",

language = "English",

volume = "24",

pages = "407--417",

journal = "Chung-kuo Kung Ch'eng Hsueh K'an/Journal of the Chinese Institute of Engineers",

issn = "0253-3839",

publisher = "Chinese Institute of Engineers",

number = "4",

}

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, 2001, p. 407-417.

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

TY - JOUR

T1 - Out-of-plane vibration of a multi-span Timoshenko curved beam due to a moving load including the warping inertia of the beam

AU - Wang, Rong Tyai

AU - Tsu, Ju Chya

N1 - Funding Information: This study was supported by the National Science Council, R.O.C., under contract No. NSC89-2212-E-006-122. This support is gratefully acknowledged.

PY - 2001

Y1 - 2001

N2 - 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.

AB - 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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DO - 10.1080/02533839.2001.9670638

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SP - 407

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JO - Chung-kuo Kung Ch'eng Hsueh K'an/Journal of the Chinese Institute of Engineers

JF - Chung-kuo Kung Ch'eng Hsueh K'an/Journal of the Chinese Institute of Engineers

SN - 0253-3839

IS - 4

ER -

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

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