Abstract:
Due to their light weight, high strength, strong designability and high temperature resistance, composite laminated structures are widely used in aerospace, building structures, highway bridges and other engineering fields in China. Based on the heat conduction equation and thermoelasticity theory, built is a theoretical calculation model of laminated arch in variable temperature environment, investigated are the thermal behaviors for two-dimensional laminated arch, and obtained are the analytical solutions of structural temperature, thermal stress and, displacement. By using the linear superposition principle, the inhomogeneous temperature boundaries of the laminated arch is transformed into homogeneous temperature boundaries. Based on the continuities of the temperature and on heat flux at the interfaces between the adjacent layers of the structure, derived is the relationships between the inner and outer layers. The analytical solution of temperature is obtained by using the surface temperature of the laminated cylindrical arch. The state space equation is established by taking displacement and stress as state variables. Based on the continuities of displacements and stresses at the interface, deduced are the relationships between the inner and outer layers of the laminated arch by means of transfer matrix method. The analytical solutions of displacements and thermal stresses are obtained by Fourier series expansion of the surface loads on the laminated arch. The convergence analysis and comparisons of numerical results demonstrate the effectiveness and accuracy of this method. Discussed are the influences of external temperature environment, structure sizes, structure layers and materials on the distributions of temperature, thermal stress and, displacement in the structure in detail, which provides a theoretical reference for designing laminated arches under variable temperature environment.