Abstract
Viscoelastic behavior of polymer-matrix composites depends very strongly on temperature. This paper presents a thermoviscoelastic dynamics modelling for fiber-reinforced polymeric composite structures with time-varying and nonuniform temperature field. It is used to investigate the thermally induced vibrations of spacecraft booms, for which a new anisotropic thin-walled beam model based on the generalized beam theory is also proposed. Furthermore, efficient evaluation of the thermoviscoelastic constitutive equations in hereditary integral form is performed by means of the derived recursion formula. A harmonic balance procedure in the circumferential direction of tubular booms is devised for both thermal and structural analyses. By comparing the results of viscoelastic and elastic models, the influence of thermoviscoelastic effects on dynamical responses of composite booms under thermal shock is illustrated. The results show that viscoelasticity may play a significant role in vibration suppression of on-orbit flexible structures, especially at high temperature. The work not only provides a novel model for thermal-structural dynamic analysis, but also develops thermoviscoelasticity theory oriented toward engineering and numerical applications.
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