The influence of the wake on the stability of cantilevered flexible plates in axial flow

Theory and experiment for flutter of a rectangular plate with a fixed leading edge in three-dimensional axial flow

“…The first assumption of small displacements is required for the linear analysis which is conducted. The assumption of primarily bending motion is an assumption which has been confirmed by previous experimental observations (Dunnmon et al, 2011;Tang and Païdoussis, 2008) and one that is used by most other theoretical models studying this system. Fig.…”

“…In general linear structural models are used to explore the aeroelastic stability boundary as parameters are varied. Non-linear models have been used by Michelin et al (2008), Tang and Païdoussis (2008), Tang et al (2003), Tang and Païdoussis (2007) and Dunnmon et al (2011) to explore post critical behaviors such as LCO amplitude and hysteresis loops which are observed experimentally. Recently interest in piezoelectric energy harvesting has motivated the detailed exploration of the non-linear post critical behavior because predicting the amplitude and frequency of the limit cycle is vital to optimizing the energy harvested from the system (Doaré and Michelin, 2011;Dunnmon et al, 2011;Giacomello and Porfiri, 2011).…”

Numerical simulations of the flapping of a three-dimensional flexible plate in uniform flow

“…Among the theoretical works, the flapping instability of a filament was examined by Datta and Gottenberg [5], and Lemaitre et al [6] with the slender body theory, and a two-dimensional plate of infinite width was analyzed by Kornecki et al [13], Huang [7], Yadykin et al [14], Watanabe et al [15], Guo and Païdoussis [16], Shelley et al [10], Alben and Shelley [17], Michelin et al [18], and Tang and Païdoussis [19,20]. A flexible plate with a finite span was considered by Shayo [21], Lucey and Carpenter [22], Tang et al [23], Argentina and Mahadevan [24], and Eloy et al [11,25].…”

“…Note that M n actually represents the fluid-plate mass ratio since the density of the plate appears in the denominator of the definition (2), thus a larger M n means a smaller plate inertia. Watanabe et al [15], and Tang and Païdoussis [19,20]summarized and compared the theoretical and experimental critical reduced velocities and mass ratios in the literature. The experimental critical velocities were typically larger than the theoretical ones.…”

A numerical method to simulate the coupled oscillations of flexible structures in flowing fluids

“…stretched straight mode, anti-symmetrical in phase mode, symmetrical out-of-phase mode and indefinite mode. The corresponding numerical simulations of a single flexible structure immersed in an uniform fluid flow were carried out by Zhu [16], Sawada [17,19], Connell [19], Huang [20], Tang [21,22] and Alben [23,24] using different methods to solve the Navier-Stokes equation and governing equations of the structures. Zhu [25] simulated the interaction of two parallel filaments using the Immersed Boundary Method (IBM).…”