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International Journal of Aerospace Engineering
Volume 2017 (2017), Article ID 1459830, 9 pages
https://doi.org/10.1155/2017/1459830
Research Article

A Highly Accurate Approach for Aeroelastic System with Hysteresis Nonlinearity

1State Key Laboratory of Complex Electromagnetic Environment Effects on Electronics and Information System, P.O. Box 085 Luoyang, China
2Department of Mechanics, Sun Yat-sen University, No. 135 Xingang Road West, Guangzhou 510275, China
3Basic Education Department, Jiangxi Industry Polytechnic College, Qinshanhu Road 1988, Nanchang, China
4Department of Mechanical Engineering, Ganzhou Institute of Technology, 88 Loutiling Rd, Ganzhou 341000, Jiangxi, China

Correspondence should be addressed to Y. M. Chen; nc.ude.usys.liam@oamynehc

Received 19 February 2017; Revised 5 June 2017; Accepted 14 August 2017; Published 15 November 2017

Academic Editor: Wen Bao

Copyright © 2017 C. C. Cui et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We propose an accurate approach, based on the precise integration method, to solve the aeroelastic system of an airfoil with a pitch hysteresis. A major procedure for achieving high precision is to design a predictor-corrector algorithm. This algorithm enables accurate determination of switching points resulting from the hysteresis. Numerical examples show that the results obtained by the presented method are in excellent agreement with exact solutions. In addition, the high accuracy can be maintained as the time step increases in a reasonable range. It is also found that the Runge-Kutta method may sometimes provide quite different and even fallacious results, though the step length is much less than that adopted in the presented method. With such high computational accuracy, the presented method could be applicable in dynamical systems with hysteresis nonlinearities.