NONLINEAR DYNAMICS OF FUNCTIONALLY GRADED ROTATING BEAMS UNDER THERMOELASTIC TRANSVERSE LOADING

MACHADO SEBASTIÁN PABLO; PIOVAN MARCELO TULIO

Natal, RN, Brazil

Congreso; 21st International Congress of Mechanical Engineering - COBEM 2011-; 2011

ABCM

Strategic and high technology industries, such as defense, aerospace or automotive industries are demanding new and advanced materials in order to improve the structural response as well as to enhance their endurance. This is particularly true in the case of rotating blades that are subjected to severe environmental conditions such as high temperatures as well as mechanical conditions such as high rotating accelerations, centrifugal forces, geometric stiffening, among others. It is well known that flexible beams become stiffer when subjected to high speed rotations, because of the nonlinear geometrical coupling associated to the large displacements of the beam cross-section. In this work, an analysis is performed on the nonlinear planar vibrations of a functionally graded beam subjected to a combined thermal and harmonic transverse load in the presence of internal resonance. Adopting the direct perturbation MMS technique, the partial differential equations of motion of the beam are reduced to sets of first-order nonlinear modulation equations in terms of the complex modes of the beam. The assumption of steady-state values of centrifugal loads is evaluated. It has to be said that there is a lack of information about modeling of rotating beamsmade of FGM under severe thermo-mechanical loads. This paper is intended to be a contribution on the subject.