1958
DOI: 10.2514/8.7688
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Theoretical Considerations of Flutter at High Mach Numbers

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Cited by 23 publications
(15 citation statements)
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“…There are several methods to approximate unsteady hypersonic aerodynamics, such as the piston theory (PT), 19) Van Dyke second-order theory (VD), 20) shock-expansion theory (SE), 21) unsteady Newtonian impact theory (NI), 22) and lifting surface/panel approaches. 23) Among them, shock-expansion theory and local piston theory (LPT) 22) are used to constitute the hypersonic analysis process.…”
Section: Aerodynamic Pressure Analysismentioning
confidence: 99%
“…There are several methods to approximate unsteady hypersonic aerodynamics, such as the piston theory (PT), 19) Van Dyke second-order theory (VD), 20) shock-expansion theory (SE), 21) unsteady Newtonian impact theory (NI), 22) and lifting surface/panel approaches. 23) Among them, shock-expansion theory and local piston theory (LPT) 22) are used to constitute the hypersonic analysis process.…”
Section: Aerodynamic Pressure Analysismentioning
confidence: 99%
“…Commonly, the unsteady aerodynamics are approximated using either piston theory (PT) [56,57] or a similar Van Dyke second-order theory (VD) , which is essentially equivalent to second-order PT at hypersonic Mach numbers. However, other methods such as shockexpansion theory (SE) [60], unsteady Newtonian impact theory (NI) [61,62], and lifting surface/panel approaches [63,64] have also been employed. Each assumes inviscid hypersonic flow and neglects realgas effects.…”
Section: A Low-fidelity Modeling 1 Aerodynamic Pressurementioning
confidence: 99%
“…The static component of pressure was computed using the deflected mode shape, while the harmonic component was computed using either a transpiration boundary condition [100,101] or manipulation of the expression for wash velocity to relate surface geometry to surface velocity. In [71,99], a local PT (LPT) approach [61] was implemented to compute the unsteady generalized aerodynamic forces (GAFs) on lifting surfaces. In this approach, the freestream flow quantities in PT are replaced with local flow quantities computed using steady-state CFD.…”
Section: Reduced-order Modelingmentioning
confidence: 99%
“…The majority of studies on hypersonic aeroelasticity have used either piston theory, 34,35 or a similar second order theory developed by Van Dyke. 36,37 However, some other methods, such as unsteady shock-expansion theory 38 and unsteady Newtonian-Impact theory, 39,40 have also been employed. Each of these methods assume inviscid hypersonic flow and neglect real gas effects.…”
Section: A Approximate Unsteady Hypersonic Aerodynamicsmentioning
confidence: 99%
“…1 Unsteady Newtonian-Impact aerodynamics provide a simple manner to handle extremely high Mach number flows, and/or portions of the flow largely inclined to the surface of a body. 14,39,51,53…”
Section: Unsteady Newtonian-impact Theorymentioning
confidence: 99%