Abstract：Based on an exact geometrically nonlinear theory of planar elastic curved beams, the dimensionless governing equations and boundary conditions for functionally graded variable curvature curved beam subjected to mechanical loads and thermal loads were formulated, in which the basic unknown quantities were expressed as the functions of axial coordinates before the deformation. Then, taking an example of elliptic arc curved beam, two-point boundary value problem of nonlinear ordinary differential equations were solved by using shooting method, and thermal bending responses of transversely non-uniformly heated FGM elliptic arc curved beam with fixed-fixed ends were obtained. The influences of material gradient index, temperature parameter and structural geometric parameters on the internal force and deformation of curved beam were discussed in detail.
2015, Vol. 36 
