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A Modified Incremental Harmonic Balance Method for 2-DOF Airfoil Aeroelastic Systems with Nonsmooth Structural Nonlinearities
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-09-29
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
A modified incremental harmonic balance method is presented to analyze the aeroelastic responses of a 2-DOF airfoil aeroelastic system with a nonsmooth structural nonlinearity.
The current method, which combines the traditional incremental harmonic balance method and a fast Fourier transform, can be used to obtain the higher-order approximate solution for the aeroelastic responses of a 2-DOF airfoil aeroelastic system with a nonsmooth structural nonlinearity using significantly fewer linearized algebraic equations than the traditional method, and the dominant frequency components of the response can be obtained by a fast Fourier transform of the numerical solution.
Thus, periodic solutions can be obtained, and the calculation process can be simplified.
Furthermore, the nonsmooth nonlinearity was expanded into a Fourier series.
The procedures of the modified incremental harmonic balance method were demonstrated using systems with hysteresis and free play nonlinearities.
The modified incremental harmonic balance method was validated by comparing with the numerical solutions.
The effect of the number of harmonics on the solution precision as well as the effect of the free-play and stiffness ratio on the response amplitude is discussed.
American Psychological Association (APA)
Ni, Ying-Ge& Zhang, Wei& Lv, Yi. 2020. A Modified Incremental Harmonic Balance Method for 2-DOF Airfoil Aeroelastic Systems with Nonsmooth Structural Nonlinearities. Mathematical Problems in Engineering،Vol. 2020, no. 2020, pp.1-19.
https://search.emarefa.net/detail/BIM-1196254
Modern Language Association (MLA)
Ni, Ying-Ge…[et al.]. A Modified Incremental Harmonic Balance Method for 2-DOF Airfoil Aeroelastic Systems with Nonsmooth Structural Nonlinearities. Mathematical Problems in Engineering No. 2020 (2020), pp.1-19.
https://search.emarefa.net/detail/BIM-1196254
American Medical Association (AMA)
Ni, Ying-Ge& Zhang, Wei& Lv, Yi. A Modified Incremental Harmonic Balance Method for 2-DOF Airfoil Aeroelastic Systems with Nonsmooth Structural Nonlinearities. Mathematical Problems in Engineering. 2020. Vol. 2020, no. 2020, pp.1-19.
https://search.emarefa.net/detail/BIM-1196254
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1196254