基于均匀化转换方法的FGM圆柱壳静水压力下临界压力预测研究

ccording to the classic Flgge shell theory,the calculation method of the homogenization conversion of the physical properties and mechanical behavior similarity of functionally graded materials(FGM)and homogeneous materials is used to study the prediction method of the critical pressure of FGM cylindrical shells under hydrostatic pressure.Considering the influence of the fluid,the wave method is used to derive the vibration equation of the underwater FGM cylindrical shell coupled system,and the Newton iteration method is used to find the natural frequency of the FGM cylindrical shell under hydrostatic pressure; According to the linear correlation between the critical load and the load level when the natural frequency is zero,the critical pressure of the FGM cylindrical shell under hydrostatic pressure is predicted and analyzed by the fitting curve method and the formula method after homogenization conversion,and the influence of various parameters of FGM cylindrical shell on the critical pressure of FGM cylindrical shell under hydrostatic pressure is discussed.The results show that the total value of the material elastic modulus?E?of the FGM cylindrical shell,geometric dimensions?h/R?and?L/R?of the FGM cylindrical shell,and changes in different boundary conditions have a greater impact on the critical pressure.Through the comparative analysis of multiple sets of calculation examples,the correctness and effectiveness of the method in this paper are verified,and the prediction accuracy is high and the calculation amount is small,which can provide a new exploration approach for the analysis of the mechanical behavior of non-uniform structures.