The invention relates to the technical field of
composite material structure dynamics analysis, and provides a method and
system for predicting the inherent frequency of a three-phase functionally graded
composite material conical plate, and the method comprises the steps: employing an improved Halpin-Tsai model to calculate the equivalent parameters of a GPL-containing two-phase
composite matrix, solving the equivalent parameters of a three-phase composite layer, and calculating the inherent frequency of the three-phase
composite material conical plate. The method comprises the following steps: constructing a nonlinear geometrical relationship between a
displacement field and a strain field, calculating a
stiffness coefficient of each layer, constructing
kinetic energy of the three-phase composite material conical plate, calculating an energy coefficient according to the
stiffness coefficient of each layer, constructing
potential energy of the conical plate according to the energy coefficient, and constructing a
modal displacement function by adopting a Chebyshev polynomial and a boundary function. And establishing a
characteristic equation based on a minimum
potential energy principle and solving to obtain the inherent frequency of the three-phase composite material conical plate. According to the method, efficient calculation of the inherent frequency of the three-phase composite material conical plate is achieved, and the reliability and
engineering application value of
structural dynamics analysis are remarkably improved.