An Integral Method for Solving Dynamic Equations with Fluid-Solid Coupling

被引:0
|
作者
Zhang, Xin [1 ]
Liu, Jie [1 ]
Xue, Pu [1 ]
Yan, Shuowen [1 ]
Xu, Yahao [2 ]
Zahran, M. S. [3 ]
机构
[1] Northwestern Polytech Univ, Sch Aeronaut, Xian 710072, Peoples R China
[2] Beijing Inst Technol, Sch Mechatron Engn, Beijing 100081, Peoples R China
[3] Mil Tech Coll, Dept Civil Engn, Cairo 11435, Egypt
基金
中国国家自然科学基金;
关键词
Newmark precise integral method (NPIM); Dual neural networks (DNN); Fluid-solid interaction (FSI); Dynamic time-history analysis; Blast loading;
D O I
10.1007/s10338-023-00434-8
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this work, a new methodology is presented to mainly solve the fluid-solid interaction (FSI) equation. This methodology combines the advantages of the Newmark precise integral method (NPIM) and the dual neural network (DNN) method. The NPIM is employed to modify the exponential matrix and loading vector based on the DNN integral method. This involves incorporating the basic assumption of the Newmark-beta method into the dynamic equation and eliminating the acceleration term from the dynamic equilibrium equation. As a result, the equation is reduced to a first-order linear equation system. Subsequently, the PIM is applied to integrate the system step by step within the NPIM. The DNN method is adopted to solve the inhomogeneous term through fitting the integrand and the original function with a pair of neural networks, and the integral term is solved using the Newton-Leibniz formula. Numerical examples demonstrate that the proposed methodology significantly improves computing efficiency and provides sufficient precision compared to the DNN method. This is particularly evident when analyzing large-scale structures under blast loading conditions.
引用
收藏
页码:99 / 108
页数:10
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