| Orthotropic composite laminated structures are widely used in various engineering industries, such as aviation, construction, and manufacturing, due to their lightweight, high strength, and high customizability. This paper, based on the heat conduction equation and the theory of thermoelasticity, constructs a state equation using internal displacement and stress of the structure, and solves for the displacement and stress distribution of orthotropic simply-supported laminated arches under a temperature environment. Firstly, the temperature distribution within the laminated arch is derived based on the continuity of interlayer temperature and radial heat flux density. A state equation for the laminated arch is established according to the mechanical equilibrium differential equation, geometric deformation relationship, and constitutive relationship of thermal stress. The state equation is simplified using Fourier series expansion and the sublayer method, and the solutions for stress and displacement under the influence of temperature are obtained by considering the continuity of interlayer displacement stress and stress boundary conditions. Convergence analysis and comparison with finite element results demonstrate the efficiency and accuracy of the method presented in this paper. Finally, three numerical examples are provided to investigate the effects of temperature, thickness-to-radius ratio, number of constituent layers, and material properties on thermal stress and displacement. |
