Kantorovich optimized method of heat-resistant Hetergeneous Energy Storing Composites cantilever laminate on automobile

Hetergeneous Energy Storing Composites (HESC) laminated plate is usually used for special engineering. It has obvious anisotropy and non- homogeneities along laminated direction. When the laminated plate deformation and stress is resolved, precision got from thermal elasticity laminate structure and laminate whole model sheering theory can not satisfy engineering requirement. Therefore, the paper sets up HESC laminate model and adopts integral approximate Kantorovich solution for the first time to solve HESC cantilever laminate. On the basis of assumption of parameter change along gradient direction of nonhomogeneities material and cantilever laminate to be generalized orthotropic, utilize principle of minimum potential energy, generalized Euler equation, natural boundary condition, HESC macro-meso- scopic constitutive relation, structure analysis theory and HESC cantilever beam laminate theory, structure deformation and stress are obtained. With the number of laminate increases,superiority of the paper will be obvious. Results of research show that HESC volume rate affects structure stress greatly. There exist optimized gradient coefficient to make structure has greater load-bearing capacity.