Ao. Rasskazov et al., Forced vibrations and vibroheating of shallow viscoelastic laminated shells with the piezoelectric effect, INT AP MECH, 36(6), 2000, pp. 769-778
The vibrations and dissipative heating of a hinged shallow shell made of vi
scoelastic piezoelectric material and subject to harmonic electric loading
are considered. The basic relations are obtained by using the Kirchhoff-Lov
e mechanical hypotheses supplemented with the respective hypotheses for ele
ctric quantities. Analytical solutions of both electromechanical and therma
l problems are derived for the case where the temperature is constant along
the shell thickness.