配点法求解具损伤浅球壳的非线性动力响应

bstract: Based on the Talreja’s damage model with tensor valued internal state variables, the constitutive relations including damage of the bending problems for fiber-reinforced composite plates and shells are derived. Then the nonlinear governing equations of orthotropic shallow spherical shells with damage under axisymmetric deflection are obtained. For seeking the solution, the unknown functions are separated by using the orthogonal point collocation method in the space domain and scheme in the time domain. Numerical results show that the vibrating amplitude of the structure will increase and the frequency decrease because of the decrease of the structure’s rigidity induced by the damage.