Solving fractional van der Pol system based on Adams discretization and Newmark-β method.

J Hongjie, LIU Zuoqiu, LU Zhongrong… - Acta Scientiarum …, 2022 - search.ebscohost.com
This paper focuses on the numerical solution method of the van der Pol equation with
fractional differential operators. In this paper, a discretization scheme based on the Adams …

Describing function method with balancing in time domain for 2-DOF airfoil system with nonlinear energy sink.

LAI Cheng, Z Zechang… - Acta Scientiarum …, 2024 - search.ebscohost.com
A describing function method with balancing in time domain (DFBT) is used to efficiently
solve 2-DOF airfoil system with nonlinear energy sink (NES). This method uses a set of basis …

基于增强响应灵敏度法的分数阶系统参数识别.

刘广, 刘济科, 吕中荣 - Journal of South China University of …, 2020 - search.ebscohost.com
考虑如下形式的单自由度线性分数阶系统: mx+ μDαx+ kx= q (t)(1) 式中, m, μ 和k
分别为系统的质量, 阻尼系数和刚度, Dαx 为分数阶算子, α 为分数阶阶次, t 为时间, q 为外激励 …