Bending-bending vibration equations of a twisted beam with damping of Kelvin-Voigt type are established using the Timoshenko beam theory and applying Hamilton's principle. The equations of motion of the twisted beam are derived in the twist coordinate frame. Then, a finite element method is used to reduce the partial differential equations of motion into linear second-order ordinary differential equations. A quadratic eigenvalue problem of a damped system is formulated to study the effects of the twist angle, internal damping and restraint types on the eigenfrequencies of the damped twisted beams. (C) 2013 The Authors. Published by Elsevier Ltd.
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