An improved precise integration single-step method for nonlinear dynamic equations

被引：0

作者：

Liu D. ^{[1
]}

Wang Y. ^{[2
]}

Li B. ^{[3
]}

Yi Z. ^{[4
]}

Zhang L. ^{[4
]}

Li H. ^{[2
]}

机构：

[1] College of Mathematics and Computer, Panzhihua University, Panzhihua

[2] UHV Converter Station Branch of State Grid Shanghai Municipal Electric Power Company, Shanghai

[3] Neijiang Power Supply Company of State Grid Sichuan Electric Power Company, Neijiang

[4] College of Electrical Engineering & New Energy, China Three Gorges University, Yichang

来源：

Zhendong yu Chongji/Journal of Vibration and Shock | 2022年 / 41卷 / 05期

关键词：

Nonlinearity; Padé; approach; Precise integration method; Predictor-corrector; Single-step block method;

D O I：

10.13465/j.cnki.jvs.2022.05.024

中图分类号：

学科分类号：

摘要：

Differential quadrature method and single-step block method are single-step multistage numerical methods, but the amount of calculation is huger when they are directly applied to solve nonlinear dynamic equations. Here, an improved precise integration single-step method based on the single-step block method was proposed. Combined with the precise integration method, this method adopted the sth equation of the s-level single-step block method to numerically integrate Duhamel integral term. Specifically, the fourth-order Runge-Kutta method was used to obtain the predicted value of the variable to be solved, and the new 4-point integral formula was used to calculate Duhamel integral term. It was shown that compared with the existing single-step method, the proposed improved algorithm has better numerical accuracy and stability; its advantages are verified with typical examples of nonlinear dynamic equations. © 2022, Editorial Office of Journal of Vibration and Shock. All right reserved.

引用

页码：182 / 188

页数：6

共 18 条

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