Interval analysis of rotor dynamic characteristics based on Chebyshev polynomials expansion

被引：0
|
作者：
Wang C. [1 ]
机构：
[1] State Key Laboratory of Laser Propulsion and Application, Beijing Power Machinery Institute, China Aerospace Science and Industry Corporation Limited, Beijing
来源：
Hangkong Dongli Xuebao/Journal of Aerospace Power | 2020年 / 35卷 / 04期
关键词：
Chebyshev polynomials; Critical speeds; Interval analysis; Rotor dynamics characteristics; Uncertainty;
D O I：
10.13224/j.cnki.jasp.2020.04.009
中图分类号：
学科分类号：
摘要：
Interval analysis method on critical speeds and steady response was established to acquire accurate results with the bounds of parameters based on Chebyshev expansion. Critical speeds were expressed as Chebyshev polynomials expansion to calculate the interval results when support stiffness, density or elastic modulus were interval parameters. The comparison between Chebyshev method, perturbation method and combination method illustrated that the maximum error was less than 0.07%. The Chebyshev method on steady response was proposed while modal superposition was applied to correct the bounds. The defect of the original method arising from the large uncertainty of critical speeds was fixed. The comparison with Monte Carlo method illustrated that the maximum error of response upper bound was less than 8%. The differential equations of the original system do not need to be modified in Chebyshev method. The results illustrate that combined with commercial finite element software, the method has good applicability and advantages of high accuracy. © 2020, Editorial Department of Journal of Aerospace Power. All right reserved.
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页码：757 / 765
页数：8
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