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

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)407-417
Number of pages11
JournalJournal of the Chinese Institute of Engineers, Transactions of the Chinese Institute of Engineers,Series A/Chung-kuo Kung Ch'eng Hsuch K'an
Volume24
Issue number4
DOIs
Publication statusPublished - 2001 Jan 1

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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