Studies on the Motion of Continuous Viscoelastic Rotors
This analytical investigation of continuous viscoelastic rotor motion is based upon undeformed rotor geometry being that of a right circular cylindrical shaft. The derivation of the motion equations for this Euler beam rotating shaft utilizes the work-energy approach. It is assumed that constant torque is applied at the shaft ends which are fixed in long ideal bearings. The derived field equations are three coupled, higher order, linear, partial differential equations. The coupling is effected through the shaft unbalance forcing terms. In this study, both coupled and uncoupled motion is considered.
University of Illinois - Urbana-Champaign
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University of Illinois at Urbana-Champaign