A Combined Energy Method for Flutter Instability Analysis of Weakly Damped Panels in Supersonic Airflow

Autor: Xiaochen Wang, Zhichun Yang, Guiwei Zhang, Xinwei Xu

Publikováno v: Mathematics, Vol 9, Iss 10, p 1090 (2021)

A combined energy method is proposed to investigate the flutter instability characteristics of weakly damped panels in the supersonic airflow. Based on the small damping assumption, the motion governing partial differential equation (PDE) of the pane

Externí odkaz: https://doaj.org/article/cdab410f562f4af9ab326e469c779871

A stochastic averaging method on the strongly nonlinear Duffing-Rayleigh oscillator under Gaussian colored noise excitation

Autor: JinJuan Duan, ZePeng Li, Gen Ge, Qian Gao

Publikováno v: Journal of Vibroengineering, Vol 18, Iss 7, Pp 4766-4775 (2016)

A modified stochastic averaging method on a Duffing-Rayleigh oscillator with strongly nonlinearity subject to Gaussian colored noise excitation was proposed. The so-called He’s energy balance method was applied to obtain the averaged frequency of t

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1628cbcee3236acbbe11f1f086fd1f6b
https://www.jvejournals.com/article/17011

Analysis of highly nonlinear oscillation systems using He’s max-min method and comparison with homotopy analysis and energy balance methods

Autor: Amin Kimiaeifar, Lars Bo Ibsen, Amin Barari

Publikováno v: Ibsen, L B, Barari, A & Kimiaeifar, A 2010, ' Analysis of Highly Nonlinear Oscillation Systems Using He’s Max-Min Method and Comparison with Homotopy Analysis and Energy Balance Methods ', Sadhana, vol. 35, no. 4, pp. 433–448 . https://doi.org/10.1007/s12046-010-0024-y

Nonlinear functions are crucial points and terms in engineering problems and the solutions of many important physical problems are centered on finding accurate solutions to these functions. In this paper, a new method called max–min method has been

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f97c6f5763ff9a6a5f80e138f43e664
https://doi.org/10.1007/s12046-010-0024-y

Periodic Solutions For Some Strongly Nonlinear Oscillators By He'S Energy Balance Method

Autor: Meng Hu, Lili Wang

In this paper, applying He-s energy balance method to determine frequency formulation relations of nonlinear oscillators with discontinuous term or fractional potential. By calculation and computer simulations, compared with the exact solutions show

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1e32744143985aa33dbf6e0171868058

Analysis of Highly Nonlinear Oscillation System Using He's Max-Min Method and Comparison with Homotopy Analysis Method and Energy Balance Methods

Autor: Ibsen, Lars Bo, Barari, Amin, Kimiaeifar, Amin

Publikováno v: Ibsen, L B, Barari, A & Kimiaeifar, A 2010, Analysis of Highly Nonlinear Oscillation System Using He's Max-Min Method and Comparison with Homotopy Analysis Method and Energy Balance Methods . in S A Nielsen (ed.), Program Review, July 2009-June 2010 : Joint Research and Development: Innovative Foundation Solutions . MBD Offshore Power A/S and Aalborg University, Aalborg .

Nonlinear functions are crucial points and terms in engineering problems and the solutions of many important physical problems are centered on finding accurate solutions to these functions. In this paper, a new method called max–min method has been

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=dedup_wf_001::5313289a18c6d373d5af970162906f9e
https://vbn.aau.dk/da/publications/191a9d43-932d-4138-ac2e-f5b811c814f7