A New Conjugate Gradient Method and Application to Dynamic Load Identification Problems

Abstract

In this paper, a modified conjugate gradient (MCG) algorithm is proposed for solving the force reconstruction problems in practical engineering. This new method is derived from a stable regularization operator and is also strictly proved using the mathematical theory. Moreover, we also prove the sufficient descent and global convergence characteristic of the newly developed algorithm. Finally, the proposed algorithm is applied to force reconstruction for the airfoil structure and composite laminated cylindrical shell. Numerical simulations show that the proposed method is highly efficient and has robust convergence performances. Additionally, the accuracy of the proposed algorithm in identifying the expected loads is satisfactory and acceptable in practical engineering.

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

“…The subscript s means that it is symmetrically stacked. The corresponding specific parameter information such as material properties can be referred to Wang, Gao, Xie, Fu, Du; 36 Wang and Xie. 38 The actual impact force is given as:…”

“…Also, less work on stochastic impact load identification has been conducted in recent years. Additionally, in the authors' previous work, 36 it was based on β W DX k which did not perform well in maintaining significant singular values and filtering small singular values and just only considered deterministic dynamic load identification. Therefore, this paper proposes a modified conjugate gradient (MCG) method to calculate the impact load of composite laminated cylindrical shells with stochastic structure parameters.…”

The Application of Piecewise Regularization Reconstruction to the Calibration of Strain Beams

“…Equally, a series of improved regularization methods have been investigated. For example, Wang et al [26] proposed the conjugate gradient method, Aucejo and De Smet [27] proposed the iterative multiplication method, and Zheng et al [28] and Chang et al [29] proposed the Landweber iterative method. Chen et al [30] and Yang et al [31] applied optimization algorithms to the identification of moving dynamic loads.…”