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PRESTRESS EFFECT ON THE THERMOMECHANICAL RESPONSE OF VISCOELASTIC CIRCULAR CYLINDRICAL SHELL UNDER HARMONIC LOADING

The problem of forced resonant vibrations and dissipative heating of a hinged viscoelastic elastomeric circular cylindrical shell is considered. The problem statement is based on the use of Kirchhoff–Love hypotheses and the concept of complex modules used to describe the cyclic reaction of a viscoelastic material to a harmonic loading. In the axisymmetric setting, it is assumed that there is a membrane force as a consequence of the applied tensile or prestress. The problem is solved in two stages: first the problem of mechanics is solved, and then for the found amplitudes of kinematic and force characteristics the dissipative function is constructed and both the steady-state and transient thermal problem is solved. As a result of solving the steady-state thermal problem, the amplitude-frequency and temperature-frequency curves are built.