Abstract: This research combines theory with experiment to analyze and verify the natural characteristics of fiber reinforced composite thin plate under cantilever boundary condition. Firstly， based on two-dimension beam function method， the largest kinetic energy and strain energy of such composite plate with arbitrary fiber angle have been deduced， and the corresponding principles to analyze natural frequencies and modal shapes have been clarified. Then， the Matlab calculating program has been composed， and the specific analysis procedures of natural characteristics of fiber-reinforced thin cantilever plate are also proposed. Finally， TC500 fiber/epoxy composite plate is taken as the study object， and the frequency and shape results are measured based on the established test system of natural characteristics of such composite plate. The result frequencies calculated based on two-dimension beam function method has good consistent with the experimental results， and the related errors are within the range of 3.7%~9.7%. Besides， the first 5 modal shapes are also consistent with the measured shape results， thus the effectiveness of above method is verified.

Key words: fiber-reinforced, thin cantilever plate, natural characteristics, two-dimension beam function method, Matlab