Thermomechanical behavior of a viscoelastic finite circular cylinder under harmonic deformations

A coupled thermomechanical behavior of a finite viscoelastic cylinder under harmonic kinematic excitation at its ends is investigated. The method of superposition is utilized to determine the stress-strain state of the cylinder. A refined asymptotic technique is developed to find the stress-strain state at each point of the body including the corner. Stiffness characteristics are examined over a broad range of cylinder-geometry parameters. By use of known stress components the function for the dissipation rate is constructed and the temperature field of vibration heating is calculated by solving the appropriate heat-conduction boundary-value problem. For the case of strong temperature dependence of loss modulus the phenomenon of thermal instability is examined.