Analysis of nonlinear limit cycle flutter of a restrained plate induced by subsonic flow

Li, Peng; Yang, Yiren; Chen, Guo

doi:10.1007/s11071-014-1650-4

Cited by 8 publications

(17 citation statements)

References 23 publications

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“…In accordance with the stability criteria of limit cycles proposed in Refs. [21][22][23][24][25], it is easy to conclude that the limit cycles on BC and DE are stable (denoted by solid lines in Figs. 7a, c) but unstable on AB and CD (denoted by dashed lines).…”

Section: Evaluation Of Limit Cycle Fluttermentioning

confidence: 94%

“…4 is that of a cantilevered beam [19,[21][22][23]; and the linear transformation T is defined as [21][22][23] …”

Section: Flutter Model Of a Subsonic Plate With Motion Constraintsmentioning

confidence: 99%

“…Hence this scheme is applied for our following analysis, and the details of which have been presented in Refs. [21][22][23][24][25]. …”

Section: Flutter Analysis In Two-parameter Planesmentioning

confidence: 99%

“…In general, most of the current studies of subsonic plates are mainly about two interesting aspects: one is the type of instability and the other is the post-instability dynamics. Many studies are reported in the literature about the instability of subsonic plates, and results interestingly show that the type of instability is closely bound up with the edge conditions of the plates, that is, a plate with its both ends fixed (simply supported or clamped) undergoes divergence instability [10][11][12][13][14][15][16], whereas a cantilevered plate free at its trailing end loses its stability by flutter [11,[17][18][19][20][21][22][23]. As for the post-instability dynamics of subsonic plates, relevant researches generally take account of the effect of nonlinearity caused by large-amplitude vibrations [12][13][14][16][17][18][19] or motion-limiting constraints [15,[20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

“…Interestingly, due to the effect of nonlinearity, plates with different boundary conditions are capable of exhibiting distinct dynamical behavior after instability. If a plate is fixed at its both ends, it may be in the buckled state after divergence instability [12][13][14][15][16]; however, for a cantilevered plate, the limit cycle oscillation may occur after flutter instability [17][18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

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On double stable limit cycle flutter of a plate with motion constraints in subsonic flow

Yang

2015

Meccanica

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This paper revisits the nonlinear flutter model of a cantilevered plate with motion-limiting constraints in subsonic flow. The nonlinear flutter behavior of this model was firstly explored in an earlier paper. Recently, it has become clear that the results of nonlinear limit cycle flutter reported in that earlier paper are incomplete. A further reevaluation of this problem is undertaken here to reveal some new and fresh results. The flutter regions are evaluated and summarized in different two-parameter planes and a heuristic analysis scheme based on the equivalent linearized method is utilized to analyze the limit cycle flutter in these regions. Results show that flutter regions vary with the spring stiffness and location; the system exhibits both the single and the double stable limit cycle flutter; the occurrences of these two types of limit cycle flutter are closely associated with bifurcations of a different nature.

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Section: Evaluation Of Limit Cycle Fluttermentioning

confidence: 94%

“…4 is that of a cantilevered beam [19,[21][22][23]; and the linear transformation T is defined as [21][22][23] …”

Section: Flutter Model Of a Subsonic Plate With Motion Constraintsmentioning

confidence: 99%

“…Hence this scheme is applied for our following analysis, and the details of which have been presented in Refs. [21][22][23][24][25]. …”

Section: Flutter Analysis In Two-parameter Planesmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

On double stable limit cycle flutter of a plate with motion constraints in subsonic flow

Yang

2015

Meccanica

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Response of a three-degree-of-freedom wing with stiffness and aerodynamic nonlinearities at hypersonic speeds

2015

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In the design of high-speed aircraft particular attention must be given to the effect of stiffness and aerodynamic nonlinearities. Additionally the thermal effects cannot be ignored since the harsh thermal environment influences the dynamic behaviour of a structure. In the current paper the aeroelastic response of a three-degree-of-freedom wing with a control surface, and stiffness and aerodynamic nonlinearities has been analysed. The nonlinear unsteady aerodynamic forces applied to the model are calculated using third-order piston theory and piecewise linear, and cubic stiffening nonlinearities are implemented in the control surface. The effect of temperature on the model is determined by a steady-state analysis with a predefined temperature distribution. The onset of limit cycle oscillations and the bifurcation behaviours is compared for the different nonlinearities. The effect of initial conditions is determined to quantify their impact on the limit cycle behaviour. This article extends the nonlinear analysis of the aeroelastic response of a wing at hypersonic speeds with an added control surface degree of freedom, with the effect of nonlinear aerodynamics and stiffness included in the model. The results show that different nonlinearities influence the response of the system uniquely and heat plays an important role in the order of excited harmonics.

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An efficient finite differences method for the computation of compressible, subsonic, unsteady flows past airfoils and panels

Colera

Pérez-Saborid

2017

Journal of Computational Physics

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Analysis of nonlinear limit cycle flutter of a restrained plate induced by subsonic flow

Cited by 8 publications

References 23 publications

On double stable limit cycle flutter of a plate with motion constraints in subsonic flow

On double stable limit cycle flutter of a plate with motion constraints in subsonic flow

Response of a three-degree-of-freedom wing with stiffness and aerodynamic nonlinearities at hypersonic speeds

An efficient finite differences method for the computation of compressible, subsonic, unsteady flows past airfoils and panels

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