Generalized finite difference method for dynamics analysis of axially moving beams and plates

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics Letters Pub Date : 2025-03-01 DOI:10.1016/j.aml.2025.109526

Cuiju Feng , Cong Xie , Maosheng Jiang

引用次数: 0

Abstract

In this paper, we propose one novel generalized finite difference method(GFDM) for the moving beams and plates problem. Firstly the second-order backward difference formula scheme is used for the time discretization. And the GFDM idea is explored to discrete the space area. The proposed method is easy to code and deal with the complex boundary conditions. The convergence test is presented and agrees with the theoretical analysis. Also, several simulations for moving beams and plates are presented to address for the accuracy of the method.

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轴向运动梁板动力学分析的广义有限差分法

本文提出了一种新的广义有限差分法（GFDM）来求解运动梁板问题。首先采用二阶后向差分公式格式进行时间离散。并探讨了GFDM思想对空间区域的离散化。该方法易于编码，可处理复杂的边界条件。给出了收敛性检验，并与理论分析相吻合。此外，还对运动梁和运动板进行了数值模拟，以验证该方法的准确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applied Mathematics Letters 数学-应用数学

CiteScore

7.70

自引率

5.40%

发文量

347

审稿时长

10 days

期刊介绍： The purpose of Applied Mathematics Letters is to provide a means of rapid publication for important but brief applied mathematical papers. The brief descriptions of any work involving a novel application or utilization of mathematics, or a development in the methodology of applied mathematics is a potential contribution for this journal. This journal''s focus is on applied mathematics topics based on differential equations and linear algebra. Priority will be given to submissions that are likely to appeal to a wide audience.