The functionally graded
coating elastic modulus and
loss factor identification method based on vibration test in thermal environment belongs to the technical field of
structural vibration and material parameter identification, and comprises the following steps: a
metal plate specimen coated with a functionally graded
coating is prepared, and structural geometric parameters, component material parameters and thermal vibration environment parameters are obtained; vibration excitation is applied to the
metal plate specimen under thermal environment conditions, and the test inherent frequency and test
damping ratio of the target order are obtained; an equivalent material parameter model of the functionally graded
coating is established, the equivalent Young's modulus,
shear modulus, Poisson's ratio and density of the coating material are obtained, and the transformation
stiffness coefficient is calculated; based on the first-order shear
deformation theory and the thermal
plasticity theory, an analytical dynamics model of the
metal plate specimen under thermal environment is established, and the theoretical inherent frequency and theoretical
damping ratio of the corresponding order are obtained; an
error function with inherent frequency and
resonance response as constraints is constructed, and the equivalent
elastic modulus and
loss factor of the functionally graded coating are obtained through iterative optimization based on the
particle swarm algorithm.