Connection between Volterra series and perturbation method in nonlinear systems analyses-Reference-Cited by-同舟云学术

Connection between Volterra series and perturbation method in nonlinear systems analyses

Published:2014-08 Issue:4 Volume:30 Page:600-606
ISSN:0567-7718
Container-title:Acta Mechanica Sinica
language:en
Short-container-title:Acta Mech Sin

Author:

Dong Xing-Jian,Peng Zhi-Ke,Zhang Wen-Ming,Meng Guang

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Computational Mechanics

Link

http://link.springer.com/content/pdf/10.1007/s10409-014-0010-4.pdf

Reference23 articles.

1. Nayfeh, A.H., Balachandran, B.: Applied Nonlinear Dynamics: Analytical, Computational, and Experimental Methods, (2nd edn). Wiley-VCH, Weihheim, Germany (2004)

2. Pušenjak, R.: Extended Lindstedt-Poincare method for nonstationary resonances of dynamical systems with cubic nonlinearities. Journal of Sound and Vibration 314, 194–216 (2008)

3. Alijani, F., Amabili, M., Bakhtiari-Nejad, F.: On the accuracy of the multiple scales method for non-linear vibrations of doubly curved shallow shells. International Journal of Non-Linear Mechanics 46, 170–179 (2011)

4. Alam, M.S.: A modified and compact form of Krylov-Bogoliubov-Mitropolskii unified method for solving an nth order non-linear differential equation. International Journal of Non-linear Mechanics 39, 1343–1357 (2004)

5. Akbar, M.A., Alam, M.S., Sattar, M.A.: KBM unified method for solving an nth order non-linear differential equation under some special conditions including the case of internal resonance. International Journal of Non-Linear Mechanics 41, 26–42 (2006)

Cited by 7 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. Methodologies for modeling and identification of breathing crack: A review;MethodsX;2023-12

2. Linear-Frequency-Domain Method for the Determination of First- and Second-Order Volterra Kernels;AIAA Journal;2021-02

3. Dynamic constitutive model of frozen soil that considers the evolution of volume fraction of ice;Scientific Reports;2020-12

4. An input-independent method for solving weakly nonlinear partial differential equations in the frequency domain: application to the Euler equations;AIAA Aviation 2019 Forum;2019-06-14

5. The Fourier spectral Poincare map method for damage detection via single type of measurement;Measurement;2018-01