In this article, a modal analysis of rotating viscoelastic sandwich beams with uniform cross sections and with various viscoelastic stiffness laws is conducted. The governing equations of motion are derived using the virtual work principle and discretized by the finite element procedure. The obtained nonlinear eigenvalue problems are solved by coupling the homotopy and asymptotic numerical techniques leading to complex solutions composed of natural frequencies and loss factors. Further, the effects of the rotating speed, thickness and core layer position on the dynamic characteristics are investigated. Furthermore, the effects of the frequency dependence of the shear modulus is investigated for a beam subject to various boundary conditions. Then, numerical tests are performed and the obtained results coincide very well with the literature and those provided by the commercial software Abaqus.