Forced vibration responses of the FG cantilever beams with the
mentioned materials gradient combination subjected to harmonic
load are plotted from Fig. 20–22. It can be seen that, the displacements
u2 of point A calculated by the Wilson-θ, Houbolt as
well as two kinds of damped Newmark's algorithms are of approximately
the same accuracy. For the tractions responses of
point B, only a little oscillation results of Wilson-θ’s algorithm
emerges at the beginning of the time increasing, others still show
the stable and similar results. It also can be obtained that, the
material gradients varying along the longitudinal directions affect
the forced responses a lot. That is because the vibration