Several results concerning the refined theory of thin-walled beams of arbitrary closed cross-section incorporating non-classical effects are presented. These effects are related both with the exotic properties characterizing the advanced composite material structures and the non-uniform torsional model. A special case of the general equations is used to study several problems of cantilevered thin-walled beams and to assess the influence of the incorporated effects. The results presented in this paper could be useful towards a more rational design of aeronautical or aerospace constructions, as well as of helicopter or tilt rotor blades constructed of advanced composite materials.

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