Thermally Induced Vibrations of Spinning Thin-Walled Composite Beam

Abstract

Coupled thermal ‐structural analysis, which includes the interaction between structural deformations and incident heating, is performed for spinning thin-walled composite beam appendages. The beam model is assumed to have transverse shear deformation and rotary inertia, as well as primary and secondary warping effects. Additionally, the thermal e utter problem is studied by the stability analysis of the beam. For the thermal analysis, the two-dimensional heat transfer in the axial and circumferential directions of a thin-walled beam is considered; the changes of the heating surface should be involved due to the spinning motion of the beam. The thermal and the structural analyses are based on the principle of conservation of energy and Hamiltons principle, respectively. Numerical results are compared with those of the uncoupled analysis. A steady-state thermal response can be determined by the uncoupled analysis, whereas thermal e utter may be studied by the coupled thermal ‐structural analysis. Also, the coupled analysis provides data on the stability characteristics, as well as dynamic responses. Furthermore, the spinning speed plays an important role in the stability of the spinning beam under solar heat e ux. When the spinning speed is equal to the bending frequency of the beam, then the structure is unconditionally unstable.