2005
DOI: 10.2514/1.6678
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Dynamic Response of Aeroservoelastic Systems to Gust Excitation

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Cited by 87 publications
(36 citation statements)
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“…To obtain a state-space representation, a rational function approximation (RFA) of the unsteady aerodynamic influence coefficient matrix is performed with a number of six poles [21]. To capture the spiral nature of the gust column, the approach from Karpel et al [22] is used: The gust model is divided into 20 zones, each having its own reference point. The time delay between the collocation point and the preceding reference point is considered in the RFA.…”
Section: Considered Aeroelastic Modelmentioning
confidence: 99%
“…To obtain a state-space representation, a rational function approximation (RFA) of the unsteady aerodynamic influence coefficient matrix is performed with a number of six poles [21]. To capture the spiral nature of the gust column, the approach from Karpel et al [22] is used: The gust model is divided into 20 zones, each having its own reference point. The time delay between the collocation point and the preceding reference point is considered in the RFA.…”
Section: Considered Aeroelastic Modelmentioning
confidence: 99%
“…with [ = − & ' I , ⁄ J F and assumed to be zero [15] to avoid the second time derivative of the gust velocity, which may be unsuitable when the excitation is continuous turbulence as it can introduced a white-noise derivative into the model. The unsteady GAF of the control surfaces are instead cast into time-domain through a quasi-steady approximation, which reads…”
Section: Aeroelastic Equations Of Motionmentioning
confidence: 99%
“…The GAF of the gust ) is approximated independently with the same expression. This approach allows for a greater flexibility in the selection of gust aerodynamic poles and increases the fitting accuracy, an important consideration because the gust GAF is known to show a spiral behavior at high reduced frequencies in the RealImaginary plane, difficult to approximate with rational polynomials, due to the penetration term [15]. Although the choice of Roger's RFA and the independent fitting of the gust GAF leads to a state-space model whose size is greater compared to the Minimum-State method by Karpel [18], the model is afterwards reduced to a considerably smaller size through Model Order Reduction.…”
Section: Extended Rational Function Approximation Approachmentioning
confidence: 99%
“…The optimized RFA shows most of its benefit particularly for the approximation of the gust aerodynamic force matrix . It is known that the terms of this matrix show a spiral behavior at high reduced frequencies in the Re-Im plane, due to the penetration term, that are difficult to approximate with rational polynomials [16]. The optimization of the poles introduces additional design variables which can be tuned to improve the curve fitting.…”
Section: Optimized Rational Function Approximationmentioning
confidence: 99%