Abstract
The forced resonant vibrations and self-heating of a clamed thermoviscoelastic beam with piezoelectric actuators are studied considering geometrical nonlinearity of the second order. The viscoelastic behavior of passive (no piezoelectric effect) and piezoelectric materials is described in terms of long-term and complex moduli. To solve the nonlinear problem of electroelasticity and heat conduction, the quasilinearization method is used in combination with the discrete-orthogonalization and finite-difference methods. The effect of geometrical nonlinearity, boundary conditions, and heat-transfer conditions on the dynamic characteristics, self-heating temperature, and active damping of the beam with actuators is studied
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