“…An accurate characterization of their nonlinear dynamic behavior is therefore crucial to the success of textile composite plates in engineering design. There have been a large number of investigations concerning the dynamics of textile composites, the majority of which focused on the impact response, damage initiation and accumulation, ballistic penetration or failure mode of woven or braided composite plates under various impact loads, see, for example, those by Baucom et al [13], Bahei-El-Din and Zikry [14], Iannucci et al [15], Yehia and Mohmmed [16], Aslan et al [17], and Schwer and Whirley [18], among many others. Studies on the free vibration, however, are still very limited.…”