Parameter-splitting perturbation method for the improved solutions to strongly nonlinear systems-Reference-Cited by-同舟云学术

Parameter-splitting perturbation method for the improved solutions to strongly nonlinear systems

Published:2019-03-22 Issue:3 Volume:96 Page:1847-1863
ISSN:0924-090X
Container-title:Nonlinear Dynamics
language:en
Short-container-title:Nonlinear Dyn

Author:

Du Hai-En^ORCID,Er Guo-Kang,Iu Vai Pan

Funder

Science and Technology Development Fund of Macau

Research Committee of University of Macau

Publisher

Springer Science and Business Media LLC

Subject

Electrical and Electronic Engineering,Applied Mathematics,Mechanical Engineering,Ocean Engineering,Aerospace Engineering,Control and Systems Engineering

Link

http://link.springer.com/content/pdf/10.1007/s11071-019-04887-w.pdf

Reference48 articles.

1. Nayfeh, A.H., Mook, D.T.: Nonlinear Oscillations. Wiley, Hoboken (2008)

2. Hermann, M., Saravi, M.: Nonlinear Ordinary Differential Equations. Springer, Chennai (2016)

3. Nayfeh, A.H.: Perturbation Methods. Wiley, Hoboken (2008)

4. Adomian, G.: Nonlinear Stochastic Operator Equations. Academic Press, New York (1986)

5. Adomian, G.: A review of the decomposition method in applied mathematics. J. Math. Anal. Appl. 135(2), 501–544 (1988)

Cited by 11 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Primary Resonances in Inclined Cantilever Beam with Tip-Mass: A Parameter-Splitting Multiple-Scales Approach;International Journal of Structural Stability and Dynamics;2024-07-09

2. A time and ensemble equivalent linearization method for nonlinear systems under combined harmonic and random excitation;Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science;2023-11-07

3. Analysis of a novel methodology for shifting an isolated body based on nonlinear system vibration;J VIB CONTROL;2023

4. Transient probabilistic solution of stochastic oscillator under combined harmonic and modulated Gaussian white noise stimulations;Nonlinear Dynamics;2023-08-11

5. Constrained Parameter-Splitting Multiple-Scales Method for the Primary/Sub-Harmonic Resonance of a Cantilever-Type Vibration Energy Harvester;International Journal of Structural Stability and Dynamics;2023-04-28