THE NONLINEAR DYNAMIC RESPONSE OF FUNCTIONALLY GRADED MATERIAL FLAT SPHERICAL SHELLS SUBJECTED TO THERMAL LOADING

摘要

The response of functionally graded material flat spherical shells subjected to thermal loading is studied using the method of lines. Based on the Kirchhoff straight normal hypothesis and Von Karman's geometrically nonlinear theory, the governing equations are obtained. A semi-analytical numerical method, viz. the method of lines is introduced. Then, the partial differential equations are transformed into ordinary differential ones. The numerical results of flat spherical shells are given and compared with ones of the finite element method. The effects of the material gradient parameters on the responses are discussed in details.