We study the response of water permeation properties through a carbon nanotube on the time-dependent mechanical signals.It is found that there is a critical frequency of vibrating fc(about 1333GHz)which plays a significant role in the water permeation properties.The total water flow,the net flux,the number of hydrogen bonds and the dipole flipping frequency of the single-file water chain inside the nanotube are almost unchanged for the frequencly of vibrating f＜fc.Simulation results show that the nanotube can be effectively resistant to the mechanical noise.