Flow-excited membrane instability at moderate Reynolds numbers
作者： Boo Cheong Khoo , Rajeev Kumar Jaiman , Guojun Li
DOI:
关键词: Mechanics 、 Fluid dynamics 、 Vibration 、 Natural frequency 、 Instability 、 Vortex shedding 、 Turbulence 、 Reynolds number 、 Added mass 、 Physics
摘要: In this paper, we study the fluid-structure interaction (FSI) of a three-dimensional (3D) flexible membrane immersed in an unsteady separated flow at moderate Reynolds numbers. We employ body-conforming variational FSI solver based on recently developed partitioned iterative scheme for coupling turbulent fluid with nonlinear structural dynamics. Of particular interest is to understand flow-excited instability 3D as function non-dimensional mass ratio, number and aeroelastic number. For wide range parameters, examine two distinctive stability regimes fluid-membrane interaction: deformed-steady state (DSS) dynamic balance (DBS). propose phase diagrams demarcate DSS DBS parameter space ratio vs. Based mode analysis, observe frequency synchronization between vortex shedding vibration which leads self-sustained vibrations state. An approximate analytical formula natural considering added effect derived from equation simply supported rectangular large deflection theory. Through systematic investigation various physical discover that onset transition triggered by resonance varied tensioned or its harmonics.
arxiv.org参考文章(34)
L. Tregidgo, Z. Wang, I. Gursul, Unsteady fluid–structure interactions of a pitching membrane wing Aerospace Science and Technology. ,vol. 28, pp. 79- 90 ,(2013) , 10.1016/J.AST.2012.10.006
Barry G. Newman, Aerodynamic theory for membranes and sails Progress in Aerospace Sciences. ,vol. 24, pp. 1- 27 ,(1987) , 10.1016/0376-0421(87)90005-4
Wei Shyy, Mats Berg, Daniel Ljungqvist, Flapping and flexible wings for biological and micro air vehicles Progress in Aerospace Sciences. ,vol. 35, pp. 455- 505 ,(1999) , 10.1016/S0376-0421(98)00016-5
L. Tregidgo, Z. Wang, I. Gursul, Frequency lock-in phenomenon for self-sustained roll oscillations of rectangular wings undergoing a forced periodic pitching motion Physics of Fluids. ,vol. 24, pp. 117101- ,(2012) , 10.1063/1.4767468
R. Bleischwitz, R. de Kat, B. Ganapathisubramani, Aspect-Ratio Effects on Aeromechanics of Membrane Wings at Moderate Reynolds Numbers AIAA Journal. ,vol. 53, pp. 780- 788 ,(2015) , 10.2514/1.J053522
Pinunta Rojratsirikul, Zhijin Wang, Ismet Gursul, Unsteady aerodynamics of low aspect ratio membrane wings 48th AIAA Aerospace Sciences Meeting Including The New Horizons Forum and Aerospace Exposition. ,(2010) , 10.2514/6.2010-729
I. Gursul, D.J. Cleaver, Z. Wang, Control of low Reynolds number flows by means of fluid–structure interactions Progress in Aerospace Sciences. ,vol. 64, pp. 17- 55 ,(2014) , 10.1016/J.PAEROSCI.2013.07.004
Pinunta Rojratsirikul, MS Genc, Zhijin Wang, Ismet Gursul, None, Flow-induced vibrations of low aspect ratio rectangular membrane wings Journal of Fluids and Structures. ,vol. 27, pp. 1296- 1309 ,(2011) , 10.1016/J.JFLUIDSTRUCTS.2011.06.007
Rajeev K. Jaiman, Manoj K. Parmar, Pardha S. Gurugubelli, Added Mass and Aeroelastic Stability of a Flexible Plate Interacting With Mean Flow in a Confined Channel Journal of Applied Mechanics. ,vol. 81, pp. 041006- ,(2014) , 10.1115/1.4025304
Marco Amabili, Nonlinear Vibrations and Stability of Shells and Plates ,(2014)