메뉴 건너뛰기




Volumn 331, Issue 7, 2012, Pages 1624-1654

Nonlinear finite amplitude vibrations of sharp-edged beams in viscous fluids

Author keywords

[No Author keywords available]

Indexed keywords

ADDED MASS; BEAM CROSS SECTION; COMPUTATIONAL FLUID DYNAMICS ANALYSIS; COMPUTATIONALLY EFFICIENT; CONVECTION PHENOMENA; DESIGNED EXPERIMENTS; ENERGY HARVESTING DEVICE; EULER BERNOULLI BEAM THEORY; FINITE-AMPLITUDE VIBRATION; FLEXURAL VIBRATIONS; FLOW PARAMETERS; FLUID DAMPING; HYDRODYNAMIC FUNCTIONS; HYDRODYNAMIC LOADING; MODAL MODELS; MULTI-MODAL; NON-LINEAR HYDRODYNAMICS; NONLINEAR CORRECTION; NONLINEAR OSCILLATION; PROPULSION SYSTEM; RECTANGULAR CROSS-SECTIONS; REDUCED ORDER; SLENDER STRUCTURES; SMALL AMPLITUDE; TAPERED BEAM; THEORETICAL RESULT; VISCOUS FLUIDS;

EID: 84855769160     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2011.12.007     Document Type: Article
Times cited : (130)

References (60)
  • 1
    • 0032109073 scopus 로고    scopus 로고
    • Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope
    • J.E. Sader Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope Journal of Applied Physics 84 1 1998 64 76 (Pubitemid 128559380)
    • (1998) Journal of Applied Physics , vol.84 , Issue.1 , pp. 64-76
    • Sader, J.E.1
  • 2
    • 0000999206 scopus 로고    scopus 로고
    • The influence of a viscous fluid on the vibration dynamics of scanning near-field optical microscopy fiber probes and atomic force microscopy cantilevers
    • S. Kirstein, M. Mertesdorf, and M. Schoenhoff The influence of a viscous fluid on the vibration dynamics of scanning near-field optical microscopy fiber probes and atomic force microscopy cantilevers Journal of Applied Physics 84 4 1998 1782 1790 (Pubitemid 128586110)
    • (1998) Journal of Applied Physics , vol.84 , Issue.4 , pp. 1782-1790
    • Kirstein, S.1    Mertesdorf, M.2    Schonhoff, M.3
  • 4
    • 33745241692 scopus 로고    scopus 로고
    • Hydrodynamic loading of microcantilevers vibrating in viscous fluids
    • S. Basak, A. Raman, and S.V. Garimella Hydrodynamic loading of microcantilevers vibrating in viscous fluids Journal of Applied Physics 99 11 2006 114906
    • (2006) Journal of Applied Physics , vol.99 , Issue.11 , pp. 114906
    • Basak, S.1    Raman, A.2    Garimella, S.V.3
  • 5
    • 0029313835 scopus 로고
    • Damping characteristics of beam-shaped micro-oscillators
    • H. Hosaka, K. Itao, and S. Kuroda Damping characteristics of beam-shaped micro-oscillators Sensors and Actuators A: Physical 49 12 1995 87 95
    • (1995) Sensors and Actuators A: Physical , vol.49 , Issue.12 , pp. 87-95
    • Hosaka, H.1    Itao, K.2    Kuroda, S.3
  • 6
    • 35348861257 scopus 로고    scopus 로고
    • Local heat transfer coefficients induced by piezoelectrically actuated vibrating cantilevers
    • DOI 10.1115/1.2740655
    • M. Kimber, S.V. Garimella, and A. Raman Local heat transfer coefficients induced by piezoelectrically actuated vibrating cantilevers Transactions of the ASME Journal of Heat Transfer 129 9 2007 1168 1176 (Pubitemid 47593199)
    • (2007) Journal of Heat Transfer , vol.129 , Issue.9 , pp. 1168-1176
    • Kimber, M.1    Garimella, S.V.2    Raman, A.3
  • 7
    • 71549124644 scopus 로고    scopus 로고
    • Experimental study of aerodynamic damping in arrays of vibrating cantilevers
    • M. Kimber, R. Lonergan, and S.V. Garimella Experimental study of aerodynamic damping in arrays of vibrating cantilevers Journal of Fluids and Structures 5 8 2009 1334 1347
    • (2009) Journal of Fluids and Structures , vol.5 , Issue.8 , pp. 1334-1347
    • Kimber, M.1    Lonergan, R.2    Garimella, S.V.3
  • 8
    • 77951527102 scopus 로고    scopus 로고
    • Longitudinal vibration mode of piezoelectric thick-film cantilever-based sensors in liquid media
    • C. Castille, I. Dufour, and C. Lucat Longitudinal vibration mode of piezoelectric thick-film cantilever-based sensors in liquid media Applied Physics Letters 96 2010 154102
    • (2010) Applied Physics Letters , vol.96 , pp. 154102
    • Castille, C.1    Dufour, I.2    Lucat, C.3
  • 9
    • 67650083432 scopus 로고    scopus 로고
    • Measurement and prediction of the cooling characteristics of a generalized vibrating piezoelectric fan
    • S.V. Kimber, and M. Garimella Measurement and prediction of the cooling characteristics of a generalized vibrating piezoelectric fan International Journal of Heat and Mass Transfer 52 1920 2009 4470 4478
    • (2009) International Journal of Heat and Mass Transfer , vol.52 , Issue.1920 , pp. 4470-4478
    • Kimber, S.V.1    Garimella, M.2
  • 10
    • 71549122021 scopus 로고    scopus 로고
    • Nonlinear aerodynamic damping of sharp-edged flexible beams oscillating at low KeuleganCarpenter numbers
    • R.A. Bidkar, M. Kimber, A. Raman, A.K. Bajaj, and S.V. Garimella Nonlinear aerodynamic damping of sharp-edged flexible beams oscillating at low KeuleganCarpenter numbers Journal of Fluid Mechanics 634 2009 269 289
    • (2009) Journal of Fluid Mechanics , vol.634 , pp. 269-289
    • Bidkar, R.A.1    Kimber, M.2    Raman, A.3    Bajaj, A.K.4    Garimella, S.V.5
  • 11
    • 0032592965 scopus 로고    scopus 로고
    • Flapping and flexible wings for biological and micro air vehicles
    • W. Shyy, M. Berg, and D. Ljungqvist Flapping and flexible wings for biological and micro air vehicles Progress in Aerospace Sciences 35 5 1999 455 505
    • (1999) Progress in Aerospace Sciences , vol.35 , Issue.5 , pp. 455-505
    • Shyy, W.1    Berg, M.2    Ljungqvist, D.3
  • 12
    • 77950860715 scopus 로고    scopus 로고
    • Modeling of biomimetic robotic fish propelled by an ionic polymer-metal composite caudal fin
    • Z. Chen, S. Shatara, and X. Tan Modeling of biomimetic robotic fish propelled by an ionic polymer-metal composite caudal fin IEEE/ASME Transactions on Mechatronics 13 5 2010 519 529
    • (2010) IEEE/ASME Transactions on Mechatronics , vol.13 , Issue.5 , pp. 519-529
    • Chen, Z.1    Shatara, S.2    Tan, X.3
  • 13
    • 77955231022 scopus 로고    scopus 로고
    • Free-locomotion of underwater vehicles actuated by ionic polymer metal composites
    • M. Aureli, V. Kopman, and M. Porfiri Free-locomotion of underwater vehicles actuated by ionic polymer metal composites IEEE/ASME Transactions on Mechatronics 15 4 2010 603 614
    • (2010) IEEE/ASME Transactions on Mechatronics , vol.15 , Issue.4 , pp. 603-614
    • Aureli, M.1    Kopman, V.2    Porfiri, M.3
  • 14
    • 75649098967 scopus 로고    scopus 로고
    • Energy harvesting from base excitation of ionic polymer metal composites in fluid environments
    • M. Aureli, C. Prince, M. Porfiri, and S.D. Peterson Energy harvesting from base excitation of ionic polymer metal composites in fluid environments Smart Materials and Structures 19 1 2010 015003
    • (2010) Smart Materials and Structures , vol.19 , Issue.1 , pp. 015003
    • Aureli, M.1    Prince, C.2    Porfiri, M.3    Peterson, S.D.4
  • 15
    • 77951777303 scopus 로고    scopus 로고
    • Low frequency and large amplitude oscillations of cantilevers in viscous fluids
    • M. Aureli, and M. Porfiri Low frequency and large amplitude oscillations of cantilevers in viscous fluids Applied Physics Letters 96 2010 164102
    • (2010) Applied Physics Letters , vol.96 , pp. 164102
    • Aureli, M.1    Porfiri, M.2
  • 17
    • 0001041112 scopus 로고
    • On the effect of the internal friction of fluids on the motion of pendulums
    • G.G. Stokes On the effect of the internal friction of fluids on the motion of pendulums Transactions of the Cambridge Philosophical Society 9 1851 1 141
    • (1851) Transactions of the Cambridge Philosophical Society , vol.9 , pp. 1-141
    • Stokes, G.G.1
  • 18
    • 0011991339 scopus 로고
    • Calculation of unsteady flows due to unsteady motion of cylinders in a viscous fluid
    • E.O. Tuck Calculation of unsteady flows due to unsteady motion of cylinders in a viscous fluid Journal of Engineering Mathematics 3 1 1969 29 44
    • (1969) Journal of Engineering Mathematics , vol.3 , Issue.1 , pp. 29-44
    • Tuck, E.O.1
  • 19
    • 0022061838 scopus 로고
    • Forces on cylinders in viscous oscillatory flow at low keulegan-carpenter numbers
    • P.W. Bearman, M.J. Downie, J.M.R. Graham, and E.D. Obasaju Forces on cylinders in viscous oscillatory flow at low KeuleganCarpenter numbers Journal of Fluid Mechanics 154 1985 337 356 (Pubitemid 15531115)
    • (1985) Journal of Fluid Mechanics , vol.154 , pp. 337-356
    • Bearman, P.W.1    Downie, M.J.2    Graham, J.M.R.3    Obasaju, E.D.4
  • 20
    • 0022269103 scopus 로고
    • Sinusoidal flow relative to circular cylinders
    • C.H.K. Williamson Sinusoidal flow relative to circular cylinders Journal of Fluid Mechanics 166 1985 141 174 (Pubitemid 15527666)
    • (1985) Journal of Fluid Mechanics , vol.155 , pp. 141-174
    • Williamson, C.H.K.1
  • 21
    • 0022699572 scopus 로고
    • Force on a circular cylinder in viscous oscillatory flow at low keulegan-carpenter numbers
    • T. Sarpkaya Force on a circular cylinder in viscous oscillatory flow at low KeuleganCarpenter numbers Journal of Fluid Mechanics 165 1986 61 71 (Pubitemid 16550147)
    • (1986) Journal of Fluid Mechanics , vol.165 , pp. 61-71
    • Sarpkaya Turgut1
  • 23
    • 0032051231 scopus 로고    scopus 로고
    • Low-Reynolds-number flow around an oscillating circular cylinder at low Keulegan-Carpenter numbers
    • H. Dütsch, F. Durst, S. Becker, and H. Lienhart Low-Reynolds-number flow around an oscillating circular cylinder at low KeuleganCarpenter numbers Journal of Fluid Mechanics 360 1998 249 271 (Pubitemid 128488588)
    • (1998) Journal of Fluid Mechanics , vol.360 , pp. 249-271
    • Dutsch, H.1    Durst, F.2    Becker, S.3    Lienhart, H.4
  • 24
    • 0036395204 scopus 로고    scopus 로고
    • A numerical simulation of vortex shedding from an oscillating circular cylinder
    • E. Guilmineau, and P. Queutey A numerical simulation of vortex shedding from an oscillating circular cylinder Journal of Fluids and Structures 16 6 2002 773 794
    • (2002) Journal of Fluids and Structures , vol.16 , Issue.6 , pp. 773-794
    • Guilmineau, E.1    Queutey, P.2
  • 25
    • 14844283802 scopus 로고    scopus 로고
    • An overview of modeling and experiments of vortex-induced vibration of circular cylinders
    • DOI 10.1016/j.jsv.2004.04.017, PII S0022460X04004845
    • R.D. Gabbai, and H. Benaroya An overview of modeling and experiments of vortex-induced vibration of circular cylinders Journal of Sound and Vibration 282 35 2005 575 616 (Pubitemid 40337214)
    • (2005) Journal of Sound and Vibration , vol.282 , Issue.3-5 , pp. 575-616
    • Gabbai, R.D.1    Benaroya, H.2
  • 26
    • 0018997841 scopus 로고
    • Forces on sharp-edged cylinders in oscillatory flow at low keulegan-carpenter numbers
    • J.M.R. Graham The forces on sharp-edged cylinders in oscillatory flow at low KeuleganCarpenter numbers Journal of Fluid Mechanics 97 1 1980 331 346 (Pubitemid 10464687)
    • (1980) Journal of Fluid Mechanics , vol.97 , Issue.PART 2 , pp. 331-346
    • Graham, J.M.R.1
  • 27
    • 0000892453 scopus 로고    scopus 로고
    • Experimental validation of theoretical models for the frequency response of atomic force microscope cantilever beams immersed in fluids
    • J.W.M. Chon, P. Mulvaney, and J.E. Sader Experimental validation of theoretical models for the frequency response of atomic force microscope cantilever beams immersed in fluids Journal of Applied Physics 87 8 2000 3978 3988
    • (2000) Journal of Applied Physics , vol.87 , Issue.8 , pp. 3978-3988
    • Chon, J.W.M.1    Mulvaney, P.2    Sader, J.E.3
  • 28
    • 0037112985 scopus 로고    scopus 로고
    • Torsional frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope
    • DOI 10.1063/1.1512318
    • C.P. Green, and J.E. Sader Torsional frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope Journal of Applied Physics 92 10 2002 6262 6274 (Pubitemid 35445640)
    • (2002) Journal of Applied Physics , vol.92 , Issue.10 , pp. 6262-6274
    • Green, C.P.1    Sader, J.E.2
  • 29
    • 23044443099 scopus 로고    scopus 로고
    • Small amplitude oscillations of a thin beam immersed in a viscous fluid near a solid surface
    • C.P. Green, and J.E. Sader Small amplitude oscillations of a thin beam immersed in a viscous fluid near a solid surface Physics of Fluids 17 2005 073102
    • (2005) Physics of Fluids , vol.17 , pp. 073102
    • Green, C.P.1    Sader, J.E.2
  • 30
    • 33847665548 scopus 로고    scopus 로고
    • Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope: Arbitrary mode order
    • C.A. Van Eysden, and J.E. Sader Frequency response of cantilever beams immersed in viscous fluids with applications to the atomic force microscope: arbitrary mode order Journal of Applied Physics 101 2007 044908
    • (2007) Journal of Applied Physics , vol.101 , pp. 044908
    • Van Eysden, C.A.1    Sader, J.E.2
  • 31
    • 77955644286 scopus 로고    scopus 로고
    • Oscillation of cylinders of rectangular cross section immersed in fluid
    • D.R. Brumley, M. Willcox, and J.E. Sader Oscillation of cylinders of rectangular cross section immersed in fluid Physics of Fluids 22 2010 052001
    • (2010) Physics of Fluids , vol.22 , pp. 052001
    • Brumley, D.R.1    Willcox, M.2    Sader, J.E.3
  • 32
    • 77949724193 scopus 로고    scopus 로고
    • Lattice Boltzmann method for oscillatory Stokes flow with applications to micro- and nanodevices
    • Y. Shi, and J.E. Sader Lattice Boltzmann method for oscillatory Stokes flow with applications to micro- and nanodevices Physical Review E 81 2010 036706
    • (2010) Physical Review e , vol.81 , pp. 036706
    • Shi, Y.1    Sader, J.E.2
  • 34
    • 1142281900 scopus 로고    scopus 로고
    • The separated flow of an inviscid fluid around a moving flat plate
    • DOI 10.1017/S0022112003006645
    • M.A. Jones The separated flow of an inviscid fluid around a moving flat plate Journal of Fluid Mechanics 496 2003 405 441 (Pubitemid 38211428)
    • (2003) Journal of Fluid Mechanics , vol.496 , pp. 405-441
    • Jones, M.A.1
  • 36
    • 36448991927 scopus 로고    scopus 로고
    • Review of modeling electrostatically actuated microelectromechanical systems
    • R.C. Batra, M. Porfiri, and D. Spinello Review of modeling electrostatically actuated microelectromechanical systems Smart Materials and Structures 16 6 2007 R23 R31
    • (2007) Smart Materials and Structures , vol.16 , Issue.6
    • Batra, R.C.1    Porfiri, M.2    Spinello, D.3
  • 40
    • 33847689199 scopus 로고    scopus 로고
    • AIAA: American Institute of Aeronautics and Astronautics
    • D.H. Hodges Nonlinear Composite Beam Theory 2006 AIAA: American Institute of Aeronautics and Astronautics
    • (2006) Nonlinear Composite Beam Theory
    • Hodges, D.H.1
  • 43
    • 33750001571 scopus 로고    scopus 로고
    • Electromechanical model of electrically actuated narrow microbeams
    • DOI 10.1109/JMEMS.2006.880204
    • R.C. Batra, M. Porfiri, and D. Spinello Electromechanical model of electrically actuated narrow microbeams Journal of Microelectromechanical Systems 15 5 2006 1175 1189 (Pubitemid 44566936)
    • (2006) Journal of Microelectromechanical Systems , vol.15 , Issue.5 , pp. 1175-1189
    • Batra, R.C.1    Porfiri, M.2    Spinello, D.3
  • 44
    • 33748766081 scopus 로고    scopus 로고
    • Numerical methods for modal analysis of stepped piezoelectric beams
    • DOI 10.1016/j.jsv.2006.05.041, PII S0022460X06004986
    • C. Maurini, M. Porfiri, and J. Pouget Numerical methods for modal analysis of stepped piezoelectric beams Journal of Sound and Vibration 298 2006 918 933 (Pubitemid 44414863)
    • (2006) Journal of Sound and Vibration , vol.298 , Issue.4-5 , pp. 918-933
    • Maurini, C.1    Porfiri, M.2    Pouget, J.3
  • 46
    • 0004062749 scopus 로고    scopus 로고
    • Wolfram, Inc.
    • Wolfram, Inc., Mathematica 7, 〈 http://www.wolfram.com 〉.
    • Mathematica , pp. 7
  • 48
    • 84855761723 scopus 로고    scopus 로고
    • Ansys, Inc., Ansys Fluent 12.1 SP1
    • Ansys, Inc., Ansys Fluent 12.1 SP1, 〈 http://www.ansys.com 〉.
  • 49
    • 0042123721 scopus 로고    scopus 로고
    • Low KC flow regimes of oscillating sharp edges I. Vortex shedding observation
    • DOI 10.1016/S0141-1187(03)00031-2
    • L. Tao, and K. Thiagarajan Low KC flow regimes of oscillating sharp edges. II vortex shedding observation Applied Ocean Research 25 2 2003 21 35 (Pubitemid 36967898)
    • (2003) Applied Ocean Research , vol.25 , Issue.1 , pp. 21-35
    • Tao, L.1    Thiagarajan, K.2
  • 50
    • 0141849252 scopus 로고    scopus 로고
    • Low KC flow regimes of oscillating sharp edges. II. Hydrodynamic forces
    • DOI 10.1016/S0141-1187(03)00046-4
    • L. Tao, and K. Thiagarajan Low KC flow regimes of oscillating sharp edges. II hydrodynamic forces Applied Ocean Research 25 2 2003 53 62 (Pubitemid 37142125)
    • (2003) Applied Ocean Research , vol.25 , Issue.2 , pp. 53-62
    • Tao, L.1    Thiagarajan, K.2
  • 51
    • 70350700915 scopus 로고    scopus 로고
    • Hydrodynamics of underwater propulsors based on ionic polymer metal composites: A numerical study
    • K. Abdelnour, E. Mancia, S.D. Peterson, and M. Porfiri Hydrodynamics of underwater propulsors based on ionic polymer metal composites: a numerical study Smart Materials and Structures 18 8 2009 085006
    • (2009) Smart Materials and Structures , vol.18 , Issue.8 , pp. 085006
    • Abdelnour, K.1    Mancia, E.2    Peterson, S.D.3    Porfiri, M.4
  • 52
    • 79251532073 scopus 로고    scopus 로고
    • Temporally-resolved hydrodynamics in the vicinity of a vibrating ionic polymer metal composite
    • C. Prince, W. Lin, J. Lin, S.D. Peterson, and M. Porfiri Temporally-resolved hydrodynamics in the vicinity of a vibrating ionic polymer metal composite Journal of Applied Physics 107 9 2010 094908
    • (2010) Journal of Applied Physics , vol.107 , Issue.9 , pp. 094908
    • Prince, C.1    Lin, W.2    Lin, J.3    Peterson, S.D.4    Porfiri, M.5
  • 53
    • 0021500899 scopus 로고
    • On the stability of the unsteady boundary layer on a cylinder oscillating transversely in a viscous fluid
    • P. Hall On the stability of the unsteady boundary layer on a cylinder oscillating transversely in a viscous fluid Journal of Fluid Mechanics 146 1984 347 367 (Pubitemid 14668034)
    • (1984) Journal of Fluid Mechanics , vol.146 , pp. 347-367
    • Hall Philip1
  • 54
    • 0025052786 scopus 로고
    • A visual study of the flow around an oscillating circular cylinder at low KeuleganCarpenter numbers and low Stokes numbers
    • M. Tatsuno, and P.W. Bearman A visual study of the flow around an oscillating circular cylinder at low KeuleganCarpenter numbers and low Stokes numbers Journal of Fluid Mechanics 211 1990 157 182
    • (1990) Journal of Fluid Mechanics , vol.211 , pp. 157-182
    • Tatsuno, M.1    Bearman, P.W.2
  • 55
    • 0037172088 scopus 로고    scopus 로고
    • Experiments on the stability of sinusoidal flow over a circular cylinder
    • T. Sarpkaya Experiments on the stability of sinusoidal flow over a circular cylinder Journal of Fluid Mechanics 457 2002 157 180
    • (2002) Journal of Fluid Mechanics , vol.457 , pp. 157-180
    • Sarpkaya, T.1
  • 56
    • 3042737627 scopus 로고    scopus 로고
    • Two-dimensional Floquet stability analysis of the flow produced by an oscillating circular cylinder in quiescent fluid
    • J.R. Elston, J. Sheridan, and H.M. Blackburn Two-dimensional Floquet stability analysis of the flow produced by an oscillating circular cylinder in quiescent fluid European Journal of Mechanics B/Fluids 23 2004 99 106
    • (2004) European Journal of Mechanics B/Fluids , vol.23 , pp. 99-106
    • Elston, J.R.1    Sheridan, J.2    Blackburn, H.M.3
  • 59
    • 84855761724 scopus 로고    scopus 로고
    • Xcitex, Inc.
    • Xcitex, Inc., Proanalyst, 〈 http://www.xcitex.com 〉.
    • Proanalyst
  • 60
    • 84855779903 scopus 로고    scopus 로고
    • Online Materials Information Resource - MatWeb
    • Online Materials Information Resource - MatWeb, 〈 http://www.matweb.com 〉.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.