理学院知识库

Purpose To study the vibration characteristics of porous functionally graded material (FGM) circular plate in temperature field by using Voigt modified porous material mixed power-law model and the relationship between physical parameters and temperature. Methods First, based on the first-order shear deformation theory, physical neutral plane and Hamilton variational principle, the dimensionless differential equation of motion control of porous FGM circular plate in temperature field is derived. Then, the differential equations and boundary conditions are analyzed by using the differential transformation method (DTM), and the algebraic characteristic equation for calculating the dimensionless natural frequency is obtained. The calculation results are compared with the existing literature to verify its effectiveness. Results The effects of gradient index, thickness diameter ratio, temperature rise and porosity on dimensionless natural frequency under different boundary conditions were calculated and analyzed. Conclusion Gradient index affects the distribution of material components, porosity weakens the overall stiffness of the structure, and then leads to the change of dimensionless natural frequency of free vibration of porous FGM circular plate in temperature field.