A drive shaft in the shape of a hollow tube and made of a linear viscoelastic angle-ply laminate is subjected to a torque, \(T\), as shown in Figure 8.32. Develop an analytical model for predicting the vibratory shear deformation in the shaft from the vibratory shear force, \(\bar{N}_{x y}(t)\), when the torque \(T\) varies sinusoidally with time. The input to the model should include the properties and volume fractions of fiber and matrix materials, lamina orientations, and lamina-stacking sequences. That is, the model should include both micromechanical and macromechanical components. No calculations are necessary, but the key equations should be described, all parameters should be defined, and key assumptions should be delineated.

Transcribed Image Text:

FIGURE 8.32 D Nxy x T