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.
|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|
|Publication status||Published - 2001 Jan 1|
All Science Journal Classification (ASJC) codes