A NUMERICAL STUDY ON FLAPPING DYNAMICS OF A COMPOSITE LAMINATED BEAM IN SHEAR FLOW

Liu Hao; Qu Yegao; Meng Guang

doi:10.6052/0459-1879-22-114

Volume 54 Issue 6

May 2022

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Chinese Journal of Theoretical and Applied Mechanics > 2022 > 54(6): 1669-1679. > DOI: 10.6052/0459-1879-22-114 CSTR: 32045.14.0459-1879-22-114

Liu Hao, Qu Yegao, Meng Guang. A numerical study on flapping dynamics of a composite laminated beam in shear flow. Chinese Journal of Theoretical and Applied Mechanics, 2022, 54(6): 1669-1679. DOI: 10.6052/0459-1879-22-114

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A NUMERICAL STUDY ON FLAPPING DYNAMICS OF A COMPOSITE LAMINATED BEAM IN SHEAR FLOW

State Key Laboratory of Mechanical System and Vibration, Shanghai Jiao Tong University, Shanghai 200240, China

Received Date: March 20, 2022
Accepted Date: May 22, 2022
Available Online: May 23, 2022

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Abstract

Abstract

We present a numerical study of the large deflection flapping dynamics of a composite laminated beam in a shear axial flow. A higher-order shear deformation zig-zag theory combined with von Kármán strains is adopted to characterize the geometrical nonlinearity of the composite laminated beam. The finite volume method based on an arbitrary Lagrangian-Eulerian (ALE) approach is employed to solve the Navier-Stokes equation of incompressible viscous fluid. A strongly coupled, partitioned fluid-structure interaction method is adopted to accommodate the dynamic coupling of the two-dimensional shear flow and the laminated beam. The validity of the present method is confirmed by analysing the flapping characteristics of composite laminated beams, which with difference in elasticity between the two layers, subjected to a uniform axial flow. We investigate the effects of shear velocity profile on the flapping characteristics (including limit-cycle oscillation, vortex shedding frequency, and flow pattern) of single isotropic beams and composite laminated beams in a shear axial flow. It is found that with the increase of shear velocity slope, the deflection of the flapping motion neutral axis increases, the standard deviation and dominant frequency of transverse flapping displacement at the beam tip first decrease and then increase. In addition, the differences in the wake vortex modes are discussed. The flapping characteristics of laminated beams with difference in elastic modulus, thickness and ply angle between the two layers are studied. The increase of the difference in elastic modulus changes the symmetry of the laminated beam flapping motion trajectory. Three distinct response regimes are observed depending on the difference in thickness and ply angle between the two layers: fixed-point stable regime, periodic limit-cycle oscillations regime, and aperiodic oscillations regime. The change of thickness ratio of laminated beams makes its vibration regime change from periodic limit cycle oscillations regime to fixed-point stable regime. The increase of the ply angle of laminated beams changes the flapping regime from periodic limit cycle oscillations regime to aperiodic oscillations regime.
- shear flow,
- fluid-structure interaction,
- composite laminated beam,
- geometrical nonlinearity,
- flow-induced vibration

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References

[1]	Tang D, Yamamoto H, Dowell EH. Flutter and limit cycle oscillations of two-dimensional panels in three-dimensional axial flow. Journal of Fluids and Structures, 2003, 17(2): 225-242 doi: 10.1016/S0889-9746(02)00121-4
[2]	Shelley M, Vandenberghe N, Zhang J. Heavy flags undergo spontaneous oscillations in flowing water. Physical Review Letters, 2005, 94(9): 094302 doi: 10.1103/PhysRevLett.94.094302
[3]	Guo CQ, Paidoussis MP. Stability of rectangular plates with free side-edges in two-dimensional inviscid channel flow. Journal of Applied Mechanics, 2000, 67(1): 171-176 doi: 10.1115/1.321143
[4]	Yu Y, Liu Y, Amandolese X. A review on fluid-induced flag vibrations. Applied Mechanics Reviews, 2019, 71(1): 010801 doi: 10.1115/1.4042446
[5]	Taneda S. Waving motions of flags. Journal of the Physical Society of Japan, 1968, 24(2): 392-401 doi: 10.1143/JPSJ.24.392
[6]	Eloy C, Lagrange R, Souilliez C, et al. Aeroelastic instability of cantilevered flexible plates in uniform flow. Journal of Fluid Mechanics, 2008, 611: 97-106 doi: 10.1017/S002211200800284X
[7]	Zhu L, Peskin CS. Interaction of two flapping filaments in a flowing soap film. Physics of Fluids, 2003, 15(7): 1954-1960 doi: 10.1063/1.1582476
[8]	Connell BSH, Yue DKP. Flapping dynamics of a flag in a uniform stream. Journal of Fluid Mechanics, 2007, 581: 33-67 doi: 10.1017/S0022112007005307
[9]	Lui J, Jaiman RK, Gurugubelli PS. Second order accurate coupled field with explicit interface advancing for fluid-structure interaction with strong added mass. Journal of Computational Physics, 2014, 270: 687-710 doi: 10.1016/j.jcp.2014.04.020
[10]	Zhang L, Zou SY, Wang CZ, et al. A loosely-coupled scheme for the flow-induced flapping problem of two-dimensional flexible plate with strong added-mass effect. Ocean Engineering, 2020, 217: 107656 doi: 10.1016/j.oceaneng.2020.107656
[11]	Sun CB, Wang SY, Jia LB, et al. Force measurement on coupled flapping flags in uniform flow. Journal of Fluids and Structures, 2016, 61: 339-346 doi: 10.1016/j.jfluidstructs.2015.12.003
[12]	Yu ZS, Wang Y, Shao XM. Numerical simulations of the flapping of a three-dimensional flexible plate in uniform flow. Journal of Sound and Vibration, 2012, 331(20): 4448-4463 doi: 10.1016/j.jsv.2012.05.009
[13]	Saravanakumar AK, Supradeepan K, Gurugubelli PS. A numerical study on flapping dynamics of a flexible two-layered plate in a uniform flow. Physics of Fluids, 2021, 33(1): 0033049
[14]	Cheng M, Whyte DS, Lou J. Numerical simulation of flow around a square cylinder in uniform-shear flow. Journal of Fluids and Structures, 2007, 23(2): 207-226 doi: 10.1016/j.jfluidstructs.2006.08.011
[15]	Yu ML, Wang B, Wang ZJ, et al. Evolution of vortex structures over flapping foils in shear flows and its impact on aerodynamic performance. Journal of Fluids and Structures, 2018, 76: 116-134 doi: 10.1016/j.jfluidstructs.2017.09.012
[16]	Liu Z, Qu HL, Shi HD. Performance evaluation and enhancement of a semi-activated flapping hydrofoil in shear flows. Energy, 2019, 189: 116255 doi: 10.1016/j.energy.2019.116255
[17]	涂佳黄, 周岱, 马晋等. 剪切来流作用下圆柱体结构物的双自由度流致振动. 上海交通大学学报, 2014, 48(2): 252-259 (Tu Jiahuang, Zhou Dai, Ma Jin, et al. Two-degree-of-freedom flow-induced vibration of an isolated cylinder structure in planar shear flow. Journal of Shanghai Jiao Tong University, 2014, 48(2): 252-259 (in Chinese) Tu Jiahuang, Zhou Dai, Ma Jin, et al. Two-degree-of-freedom flow-induced vibration of an isolated cylinder structure in planar shear flow. Journal of Shanghai Jiao Tong University, 2014, 48(2): 252-259 (in Chinese)
[18]	Ding L, Kong H, Zou QF, et al. 2-DOF vortex-induced vibration of rotating circular cylinder in shear flow. Ocean Engineering, 2022, 249: 111003 doi: 10.1016/j.oceaneng.2022.111003
[19]	黄政, 熊鹰, 鲁利. 复合材料螺旋桨流固耦合振动噪声研究综述. 哈尔滨工程大学学报, 2020, 41(1): 87-94, 124 (Huang Zheng, Xiong Ying, Lu L. A review on FSI vibration and noise performance research of composite propellers. Journal of Harbin Engineering University, 2020, 41(1): 87-94, 124 (in Chinese) Huang Zheng, Xiong Ying, Lu L. A review on FSI vibration and noise performance research of composite propellers. Journal of Harbin Engineering University, 2020, 41(1): 87-94, 124 (in Chinese)
[20]	陈倩, 张汉哲, 吴钦等. 复合材料水翼水动力与结构强度特性数值研究. 力学学报, 2019, 51(5): 1350-1362 (Chen Qian, Zhang Hanzhe, Wu Qin, et al. The numerical investifation on hydrodynamic and structural strength of a composite hydrofoil. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(5): 1350-1362 (in Chinese) Chen Qian, Zhang Hanzhe, Wu Qin, et al. The numerical investifation on hydrodynamic and structural strength of a composite hydrofoil. Chinese Journal of Theoretical and Applied Mechanics, 2019, 51(5): 1350-1362 (in Chinese)
[21]	Carrera E. Historical review of zig-zag theories for multilayered plates and shells. Applied Mechanics Reviews. 2003, 56(3): 287-308
[22]	Treviso A, Mundo D, Tournour M. Dynamic response of laminated structures using a refined zigzag theory shell element. Composite Structures, 2017, 159: 197-205 doi: 10.1016/j.compstruct.2016.09.026
[23]	刘人怀, 薛江红. 复合材料层合板壳非线性力学的研究进展. 力学学报, 2017, 49(3): 487-506 (Liu Renhuai, Xue Jianghong. Development of nonlinear mechanics for laminated composite plates and shells. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(3): 487-506 (in Chinese) Liu Renhuai, Xue Jianghong. Development of nonlinear mechanics for laminated composite plates and shells. Chinese Journal of Theoretical and Applied Mechanics, 2017, 49(3): 487-506 (in Chinese)
[24]	Ferziger JH, Peric M. Computational Methods for Fluid Dynamics. 3rd ed. New York: Springer Science and Business Media, 2002
[25]	Jasak H. OpenFOAM: Open source CFD in research and industry. International Journal of Naval Architecture and Ocean Engineering, 2009, 1(2): 89-94
[26]	Versteeg H, Malalasekera W. An Introduction to Computational Fluid Dynamics: the Finite Volume Method. 2nd ed. England: Pearson Education Limited, 2007
[27]	Qu YG, Long XH, Li HG, et al. A variational formulation for dynamic analysis of composite laminated beams based on a general higher-order shear deformation theory. Composite Structures, 2013, 102: 175-192 doi: 10.1016/j.compstruct.2013.02.032
[28]	Reddy JN. A refined nonlinear theory of plates with transverse shear deformation. International Journal of Solids and Structures, 1984, 20(9-10): 881-896 doi: 10.1016/0020-7683(84)90056-8
[29]	Carrera E. On the use of the Murakami's zig-zag function in the modeling of layered plates and shells. Computers and Structures, 2004, 82(7-8): 541-554 doi: 10.1016/j.compstruc.2004.02.006
[30]	Liu H, Qu YG, Xie FT, et al. Vortex-induced vibration of large deformable underwater composite beams based on a nonlinear higher-order shear deformation zig-zag theory. Ocean Engineering, 2022, 250: 111000 doi: 10.1016/j.oceaneng.2022.111000
[31]	Bungartz HJ, Lindner F, Gatzhammer B, et al. PreCICE−A fullly parallel library for multi-physics surface coupling. Computers and Fluids. 2016, 141: 250-258
[32]	Shukla S, Govardhan RN, Arakeri JH. Dynamics of a flexible splitter plate in the wake of a circular cylinder. Journal of Fluids and Structures, 2013, 41: 127-134 doi: 10.1016/j.jfluidstructs.2013.03.002

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A NUMERICAL STUDY ON FLAPPING DYNAMICS OF A COMPOSITE LAMINATED BEAM IN SHEAR FLOW