This study presents a novel approach for the vibration and damping analysis of arbitrarily curved n-layered sandwich beams. The governing equations are derived using Hamilton's principle and solved by the generalized differential quadrature method (GDQM). Results are compared with the ones that exist in the literature for various types of curved beams either laminated composite or sandwich with a viscoelastic core. In addition, the results of an in-house finite element (FE) solver are added to the comparisons and a very good agreement between the results is observed. Finally, a spiral curved sandwich beam with a parametric mid-section curve and a frequency-dependent viscoelastic core is studied. The effects subtended angle and the core thickness on the vibration and damping behavior are analyzed in detail.