1999
DOI: 10.1115/1.3098919
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Review of Nonlinear Panel Flutter at Supersonic and Hypersonic Speeds

Abstract: A review of various analytical methods and experimental results of supersonic and hypersonic panel flutter is presented. The analytical methods are categorized into two main methods. The first category is the classical methods, which include Galerkin in conjunction with numerical integration, harmonic balance and perturbation methods. The second category is the finite element methods in either the frequency domain (eigensolution) or the time domain (numerical integration). A review of the experimental literatu… Show more

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Cited by 295 publications
(100 citation statements)
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“…These are the harmonic balance technique [48], perturbation method [49], finite element method [28,29,38,39,50], direct numerical integration technique (DNIT) [26,40,47,[51][52][53][54][55][56][57][58], pseudo-arc length continuation method that complements the DNIT [32,59] and recently the Lyapunov first quantity (LFQ) [8,31,60]. Galerkin's method [72] and DNIT will be considered to solve the integro-differential equation (Eq.…”
Section: Galerkin Methods and Direct Numerical Integration Techniquementioning
confidence: 99%
See 1 more Smart Citation
“…These are the harmonic balance technique [48], perturbation method [49], finite element method [28,29,38,39,50], direct numerical integration technique (DNIT) [26,40,47,[51][52][53][54][55][56][57][58], pseudo-arc length continuation method that complements the DNIT [32,59] and recently the Lyapunov first quantity (LFQ) [8,31,60]. Galerkin's method [72] and DNIT will be considered to solve the integro-differential equation (Eq.…”
Section: Galerkin Methods and Direct Numerical Integration Techniquementioning
confidence: 99%
“…In recent years, there has been renewed interest in supersonic and hypersonic flight vehicles. A thorough review of the non-linear panel flutter was presented by Mei et al [28], whereas a review of the finite element method within a linearized approach of the supersonic panel flutter was given by Bismarck-Nasr [29].…”
Section: Introductionmentioning
confidence: 99%
“…The first group consists of studies focusing on panel flutter, which is a localized aeroelastic problem representing a small portion of the skin on the surface of the hypersonic vehicle. [5][6][7][8][9][10] The second group of studies in this area was motivated by a previous hypersonic vehicle, namely the NASP. [11][12][13][14][15][16][17] However, some of these studies dealt with the transonic regime, because it was perceived to be quite important.…”
Section: Nomenclaturementioning
confidence: 99%
“…The curve fit is then calculated by searching for the ζ i and ω i which minimize Eq. (10). At each search step the linear coefficients (a 0 , a i , and b i ) are updated, and the error is recomputed, using the current ζ i and ω i .…”
Section: -50mentioning
confidence: 99%
“…The jet-incrossflow interaction is complex, unsteady, and can significantly affect the total control force. The surface pressure distribution is also important when considering sonic fatigue and supersonic panel flutter near fuel injectors in scramjet engines [3].…”
Section: Introductionmentioning
confidence: 99%