Nonlinear aeroelastic analysis of a two-dimensional wing with control surface in supersonic flow |
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Authors: | Guoyong Zheng |
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Institution: | Guoyong Zheng School of Civil Engineering and Architecture,Central South University,410075 Changsha,China |
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Abstract: | Based on the piston theory of supersonic flow and the energy method, a two dimensional wing with a control surface in supersonic
flow is theoretically modeled, in which the cubic stiffness in the torsional direction of the control surface is considered.
An approximate method of the chaotic response analysis of the nonlinear aeroelastic system is studied, the main idea of which
is that under the condition of stable limit cycle flutter of the aeroelastic system, the vibrations in the plunging and pitching
of the wing can approximately be considered to be simple harmonic excitation to the control surface. The motion of the control
surface can approximately be modeled by a nonlinear oscillation of one-degree-of-freedom. The range of the chaotic response
of the aeroelastic system is approximately determined by means of the chaotic response of the nonlinear oscillator. The rich
dynamic behaviors of the control surface are represented as bifurcation diagrams, phase-plane portraits and PS diagrams. The
theoretical analysis is verified by the numerical results. |
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Keywords: | Piston theory Supersonic flow Chaos Control surface Limit cycle flutter |
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