Numerical studies on the interactions between a flexible plate and incoming flow

The linear Euler – Bernoullibeam model is employed for the studies on the interactions between a flexible plate and incoming flow. The flow field was simulated by the immersed-boundary method. It is shown that the plate was inhibited at a relative low Reynolds number. When the Reynolds increases, the plate begins to flap and its amplitude increases with the increasing of Reynolds number. The amplitude is small with a large stiffness coefficient. When the mass ratio becomes large, the inertial effect enhances, and the amplitude of the plate is large. With the same material parameters, different initial trailing edge inclination lead to different flapping amplitudes.

[1]  M. Sugihara,et al.  AN EXPERIMENTAL STUDY OF PAPER FLUTTER , 2002 .

[2]  Patrick D. Anderson,et al.  A fluid-structure interaction method with solid-rigid contact for heart valve dynamics , 2006, J. Comput. Phys..

[3]  Stephen P. Timoshenko,et al.  History of strength of materials : with a brief account of the history of theory of elasticity and theory of structures , 1983 .

[4]  Damian J. J. Farnell,et al.  Numerical Simulations of a Filament In a Flowing Soap Film , 2004 .

[5]  S. Alben,et al.  Flapping states of a flag in an inviscid fluid: bistability and the transition to chaos. , 2008, Physical review letters.

[6]  L. Mahadevan,et al.  Fluid-flow-induced flutter of a flag. , 2005, Proceedings of the National Academy of Sciences of the United States of America.

[7]  Zhaosheng Yu A DLM/FD method for fluid/flexible-body interactions , 2005 .

[8]  Xueming Shao,et al.  Simulations of passive oscillation of a flexible plate in the wake of a cylinder by immersed boundary method , 2014 .

[9]  Tibor S. Balint,et al.  Instability of a cantilevered flexible plate in viscous channel flow , 2005 .

[10]  Jian Deng,et al.  On the Propulsive Performance of Tandem Flapping Wings with a Modified Immersed Boundary Method , 2016 .

[11]  Jun Zhang,et al.  Heavy flags undergo spontaneous oscillations in flowing water. , 2005, Physical review letters.

[12]  Jeff D. Eldredge,et al.  Dynamically coupled fluid-body interactions in vorticity-based numerical simulations , 2008, J. Comput. Phys..