On a Bistable Flap for an Airfoil

Daynes, Stephen; Nall, S. J.; Weaver, Paul M.; Potter, Kevin D; Margaris, P; Mellor, Phil

doi:10.2514/6.2009-2103

Cited by 26 publications

(15 citation statements)

References 4 publications

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“…Manufacturing aspects were also studied (Cho et al, 2003;Gigliotti et al, 2003;Gigliotti et al, 2006) and parametric analyses were performed to investigate the domain of existence of bistability (Hufenbach et al, 2001;Gigliotti et al, 2004). Eventually, new concepts for morphing applications were presented (Potter and Weaver, 2004;Schultz, 2005;Schultz, 2008;Mattioni et al, 2006;Mattioni et al, 2008;Diaconu et al, 2008;Diaconu et al, 2009;Daynes, 2009) and, in an attempt to capture as much as possible of bistable systems' physics, modified modelling techniques were proposed (Ren, 2007;Ren and Mar, 2008;Cerami and Weaver, 2008;Carrella et al, 2008;Arrieta et al, 2009;Diaconu et al, 2009). …”

Section: Literature Reviewmentioning

confidence: 98%

Bistable plates for morphing structures: A refined analytical approach with high-order polynomials

Pirrera

Avitabile²,

Weaver

2010

International Journal of Solids and Structures

173

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a b s t r a c tThe multistability of composite thin structures has shown potential for morphing applications. The present work combines a Ritz model with path-following algorithms to study bistable plates' behaviour. Classic low-order Ritz models predict stable shapes' geometry with reasonable accuracy. However, they may fail when modelling other aspects of the elastic structural behaviour. A refined higher-order model is here presented. In order to improve the inherently poor conditioning properties of Ritz approximations of slender structures, a non-dimensional version of Classical Plate Lamination Theory with von Kármán nonlinear strains is developed and presented. In the current approach, we continue numerical solutions in parameter space, that is, we path-follow equilibrium configurations as the control parameter varies, find stable and unstable configurations and identify bifurcations. The numerics are carried out using a set of in-house MATLAB Ò routines for numerical continuation. The increased degrees of freedom within the model are shown to accurately reflect buckling loads and provide useful insight into the relative importance of different aspects of nonlinear behaviour. Finally, the complex, experimentally observed snap-through geometry is captured analytically for the first time. Results are validated against finite elements analysis throughout the course of the paper.

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Section: Literature Reviewmentioning

confidence: 98%

Bistable plates for morphing structures: A refined analytical approach with high-order polynomials

Pirrera

Avitabile²,

Weaver

2010

International Journal of Solids and Structures

173

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“…There are two kinds of bistable structures in general: [0/90] n unsymmetric cross-ply laminate [6] and [+a/Àa] n anti-symmetric laminated cylindrical shell (ALCS) [7]. Both of them can deform from one stable state to another under external mechanical forces, piezoelectric patches, temperature field or shape memory alloys (SMAs) [8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Experimental study on bistable behaviour of anti-symmetric laminated cylindrical shells in thermal environments

Zhang

et al. 2016

Composite Structures

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“…The static characteristics of unsymmetric bi-stable fiber reinforced plates have been well quantified, after a comprehensive research effort over the last three decades. Bi-stable composite plates have shown extensive potential applications for morphing aircraft [5][6][7][8][9][10] and energy harvesting devices [11][12][13].…”

Section: Introductionmentioning

confidence: 99%

“…In the morphing concepts that take advantage of bi-stable plates, the equilibrium states are matched to shape requirements. Several aero-structures applications with bi-stable morphing airfoils have been proposed and have been experimentally and numerically investigated [5][6][7][8][9][10]. More recently, research works shed the lights on the dynamic excitation that can trigger the bi-stability of composite plates from one equilibrium state to another with small energy input, for example [14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

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Advanced nonlinear dynamic modelling of bi-stable composite plates

Friswell

2018

Composite Structures

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This paper proposes a novel analytical model to study the nonlinear dynamics of cross-ply bi-stable composite plates. Based on Hamilton's principle, in conjunction with the Rayleigh-Ritz method, an advanced analytical model with only 17 unknown terms is developed to predict the entire nonlinear dynamic response of bi-stable composite plates, which are excited by an electrodynamic shaker. The coupling between the bi-stable plate and the shaker is considered in the development of analytical model. This work, for the first time, simulates the full dynamics of bi-stable plates using an analytical model, including the prediction of the nonlinear characteristics of single well vibration and cross well vibration. Numerical results on three vibrational patterns of two standard cross-ply composite plates are obtained to study the nonlinear dynamics of bi-stable plates. The prediction accuracy on the dynamic characteristics of different vibrational patterns of bi-stable plates are verified by both finite element analysis (FEA) and experimental results. Large amplitude cross-well vibrations due to the transitions between different stable states of bi-stable plates are also characterized accurately. Applying this 17-term analytical model for the dynamic analysis of bi-stable plates is straightforward, as the mass and stiffness properties are obtained directly from the geometry and material properties. Only the damping coefficients for different plates need to be determined from experiments. Furthermore, this proposed 17-term analytical model has much higher computational efficiency than FEA.

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On a Bistable Flap for an Airfoil

Cited by 26 publications

References 4 publications

Bistable plates for morphing structures: A refined analytical approach with high-order polynomials

Bistable plates for morphing structures: A refined analytical approach with high-order polynomials

Experimental study on bistable behaviour of anti-symmetric laminated cylindrical shells in thermal environments

Advanced nonlinear dynamic modelling of bi-stable composite plates

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