一种新的基于b样条的线性结构动力分析显式时间积分方法

IF 2.9 2区数学 Q1 MATHEMATICS, APPLIED

Computers & Mathematics with Applications Pub Date : 2025-02-27 DOI:10.1016/j.camwa.2025.02.017

Yanqun Han, Tianhao Liu, Weibin Wen, Xiaomin Liu

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引用次数: 0

摘要

本文提出了一种新的用于线性结构动力分析的显式时间积分方法。该方法采用三次b样条插值。通过理论分析确定了几种算法参数，提高了算法的稳定性和精度。该显式方法具有良好的算法性能，包括稳定性和准确性。数值算例表明，该方法对线性结构动力分析具有较好的稳定性、精度和效率。

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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A new family of B-spline based explicit time integration methods for linear structural dynamic analysis

This study develops a new family of explicit time integration methods for linear structural dynamic analysis. The proposed method is formulated using cubic B-spline interpolation. Several cases of algorithm parameters are identified by theoretical analysis to improve stability and accuracy. The explicit method exhibits desirable algorithmic properties, including stability and accuracy. The numerical examples demonstrate that the proposed method can achieve desirable stability, accuracy and efficiency for linear structural dynamic analysis.

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来源期刊

Computers & Mathematics with Applications 工程技术-计算机：跨学科应用

CiteScore

5.10

自引率

10.30%

发文量

396

审稿时长

9.9 weeks

期刊介绍： Computers & Mathematics with Applications provides a medium of exchange for those engaged in fields contributing to building successful simulations for science and engineering using Partial Differential Equations (PDEs).