A New Conjugate Gradient Method for Impact Load Identification of Stochastic Composite Structures

Abstract

This paper presents a novel conjugate gradient method to identify the impact force of stochastic composite structure. Firstly, the proposed method is established based on constructing a new gradient regularization operator, and its stability and global convergence are strictly proven. Moreover, the proposed method solves the deterministic inverse problem of composite laminated cylindrical shells. Then, using the matrix perturbation method, the uncertain inverse problem of the impact force reconstruction of stochastic structure is converted to definite inverse problems. At last, the statistical properties of the reconstructed impact load are also analyzed. Numerical simulations show that the proposed method performs well in identifying the impact force of composite laminated cylindrical shells with stochastic and non-stochastic properties.