Abstract

Arcs have widely been used as structural elements in many mechanical, aerospace, and civil engineering applications. The authors previously analyzed the in-plane free vibration of Timoshenko arcs with elastic supports by using the transfer influence coefficient method. The basic concept of this method is based on the transfer of influence coefficient. In this study, the transfer influence coefficient method is applied to the out-of-plane vibration of Timoshenko arcs. The authors formulate a computational algorithm to analyze the out-of-plane free vibration of the arcs with elastic supports by using the transfer influence coefficient method. The reliability of the transfer influence coefficient method is confirmed by comparing both the numerical results of the transfer influence coefficient method and those of other researchers. The authors verify that the transfer influence coefficient method is more effective than the transfer matrix method in analyzing an arc with a hinged point at its intermediate.

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