Vibration of laminated composite arches with deep curvature and arbitrary boundaries

Abstract

Exact solutions for the title problem are presented for general boundary conditions. No numerical frequencies are presented using these solutions, instead natural frequencies are obtained using the Ritz method. This method has the important shortcoming that the assumed displacements have to be changed when various boundary conditions are treated. This shortcoming is overcome in this paper by assuming the displacement functions as polynomials having a general form. Accurate frequencies are obtained for arbitrary boundary conditions. The results can be useful for designers, engineers, and researchers who are interested in the problem. The method can also be generalized to plate- and shell-like structures.