The continuation method for the eigenvalue problem of structures with viscoelastic dampers.

Highlights: [•] The dynamic characteristics of structures with viscoelastic dampers are determined. [•] The fractional, rheological model of damper is applied. [•] The proposed approach enables the simultaneous use of a few models of damper. [•] The equations of motion are solved using the continuation method. [•] The problem of existence of real eigenvalues is also discussed. [ABSTRACT FROM AUTHOR]