Free vibration of higher-order sandwich and composite arches, Part II: Frequency spectra analysis

The frequency spectra of the higher-order model, for laminated arches, are identified through a novel process, proposed in this paper. Besides the basic spectra corresponding to axial, flexural and shear, presence of higher-order spectra is established. Coupled spectra of first-order and higher-order degrees of freedom, in various combinations, are identified. Based on this spectra identification framework, the frequencies of sandwich and composite arches, for various boundary conditions are classified and presented. Also, the role of curvature and aspect ratio on the fundamental frequency of arches with various end-conditions is investigated, in the second part of this paper.