COMPLEX MODAL-ANALYSIS OF A FLEXURAL VIBRATING BEAM WITH VISCOUS END CONDITIONS

The complex mode superposition method for the dynamical analysis of a simply supported beam with two rotational viscous dampers attached at its end is presented. First, a numerical procedure for the evaluation of complex frequencies and modes of vibration has been worked out. Sec ond, the appropriate orthogonality conditions have been established in order to decouple the equation of motion. The complex mode superposit ion method has then been used for the dynamic analysis in the time and frequency domains. Finally, some numerical applications, under impuls ive and harmonic transverse accelerations of both ends, have been repo rted in order to illustrate the effects of the dampers on the response amplitude. (C) 1997 Academic Press Limited.