FORCED VIBRATIONS AND NONSTATIONARY HEATING OF A RECTANGULAR VISCOELASTIC PLATE WITH PRESTRESSES

The problem of forced resonant vibrations and stationary, as well as nonstationary dissipative heating of a prestressed viscoelastic elastomeric rectangular plate is stated. The concept of complex moduli is used to describe the viscoelastic properties of the plate material under time-harmonic loading. A simplified statement of the problem in terms of complex amplitudes is used to study the stationary stress-strain state of the plate and to determine the dissipative function, which is used to find both the stationary and nonstationary temperature distributions over the plate. The dependence of the maximum self-heating temperature on the prestress is studied. Temperature curves are used to assess the endurance of the plate due to overheating during cyclic loading. The effect of the prestress level on the fatigue endurance of the plate is studied in detail.