Vibration Properties of Curved Thin-Walled Beams

by Avigdor V. Rutenberg, (M.ASCE), Sr. Lect.; Faculty of Civ. Engrg., Technion-Israel Inst. of Tech., Haifa, Israel; presently on leave at California Inst. of Tech., Pasadena, Calif.,

Serial Information: Journal of the Structural Division, 1979, Vol. 105, Issue 7, Pg. 1445-1455

Document Type: Journal Paper


A simple procedure is proposed to evaluate the out-of-plane vibration frequencies for a class of horizontally curved beams. The two governing differential equations are first partly uncoupled by means of a linear transformation. When the remaining coupling terms cannot be neglected, a two-degree-of-freedom solution is obtained by taking advantage of the similarity between the two uncoupled mode shapes. The method yields an exact solution only for simply suported curved beams. For other support conditions the solution is approximate. The method is illustrated by a numerical example: a fixed-fixed curved highway with open cross-section.

Subject Headings: Curved beams | Vibration | Numerical methods | Differential equations | Linear functions | Coupling | Degrees of freedom | Highways and roads

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