The present application relates to the technical field of
composite structure dynamics analysis, and provides a method and
system for predicting the
natural frequency of a three-phase functionally graded composite conical plate, which comprises the following steps: calculating the equivalent parameters of a two-phase
composite substrate containing GPL by using an improved Halpin-Tsai model, solving the equivalent parameters of a three-phase composite layer, constructing the nonlinear geometric relationship between the
displacement field and the strain field, calculating the
stiffness coefficient of each layer, constructing the
kinetic energy of the three-phase composite conical plate, calculating the energy coefficient according to the
stiffness coefficient of each layer, constructing the
potential energy of the conical plate according to the energy coefficient, constructing the
modal displacement function by using Chebyshev polynomials and boundary functions, establishing the
characteristic equation based on the principle of minimum
potential energy and solving it, and obtaining the
natural frequency of the three-phase composite conical plate. The present application realizes efficient calculation of the
natural frequency of the three-phase composite conical plate, and significantly improves the reliability and
engineering application value of
structural dynamics analysis.