메뉴 건너뛰기




Volumn 165, Issue 1-2, 2003, Pages 27-45

On energetics and conservations for strings in the presence of singular sources of momentum and energy

Author keywords

[No Author keywords available]

Indexed keywords

DRILLING; PHASE TRANSITIONS; SAWS; VECTORS; VIBRATIONS (MECHANICAL);

EID: 0242498596     PISSN: 00015970     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00707-003-0032-7     Document Type: Review
Times cited : (11)

References (37)
  • 1
    • 0002515555 scopus 로고    scopus 로고
    • Current research on the vibration and stability of axially moving continua
    • Wickert, J. A., Mote, C. D., Jr.: Current research on the vibration and stability of axially moving continua. Shock Vibr. Digest 20, 3-13 (1998).
    • (1998) Shock Vibr. Digest , vol.20 , pp. 3-13
    • Wickert, J.A.1    Mote Jr., C.D.2
  • 2
    • 0021757366 scopus 로고
    • The vibration of a rotating circular string subject to a fixed elastic restraint
    • Schajer, G. S.: The vibration of a rotating circular string subject to a fixed elastic restraint. J. Sound Vibr. 92, 11-19 (1984).
    • (1984) J. Sound Vibr. , vol.92 , pp. 11-19
    • Schajer, G.S.1
  • 3
    • 0003038414 scopus 로고    scopus 로고
    • Travelling wave dynamics in a translating string coupled to stationary constraints: Energy transfer and mode localization
    • Lee, S. -Y., Mote, C. D., Jr.: Travelling wave dynamics in a translating string coupled to stationary constraints: Energy transfer and mode localization. J. Sound Vibr. 212, 1-22 (1998).
    • (1998) J. Sound Vibr. , vol.212 , pp. 1-22
    • Lee, S.-Y.1    Mote Jr., C.D.2
  • 4
    • 0032156924 scopus 로고    scopus 로고
    • Lateral vibration instability mechanisms in a constrained rotating string
    • Tian, J., Hutton, S. G.: Lateral vibration instability mechanisms in a constrained rotating string. Trans. ASME J. Appl. Mech. 65, 774-776 (1998).
    • (1998) Trans. ASME J. Appl. Mech. , vol.65 , pp. 774-776
    • Tian, J.1    Hutton, S.G.2
  • 5
    • 0041706805 scopus 로고    scopus 로고
    • On the mechanisms of vibrational instability in a constrained rotating string
    • Tian, J., Hutton, S. G.: On the mechanisms of vibrational instability in a constrained rotating string. J. Sound Vibr. 225, 111-126 (1999).
    • (1999) J. Sound Vibr. , vol.225 , pp. 111-126
    • Tian, J.1    Hutton, S.G.2
  • 6
    • 0001162976 scopus 로고
    • On the energetics of axially moving continua
    • Wickert, J. A., Mote, C. D., Jr.: On the energetics of axially moving continua. J. Acoust. Soc. Am. 85, 1365-1368 (1989).
    • (1989) J. Acoust. Soc. Am. , vol.85 , pp. 1365-1368
    • Wickert, J.A.1    Mote Jr., C.D.2
  • 7
    • 0001137421 scopus 로고
    • Stability and bifurcation of rotating nonlinearly elastic loops
    • Healey, T. J.: Stability and bifurcation of rotating nonlinearly elastic loops. Quart. Appl. Math. 48, 679-698 (1990).
    • (1990) Quart. Appl. Math. , vol.48 , pp. 679-698
    • Healey, T.J.1
  • 8
    • 0030488982 scopus 로고    scopus 로고
    • Stability of axial motions of nonlinearly elastic loops
    • Healey, T. J.: Stability of axial motions of nonlinearly elastic loops. ZAMP 47, 809-816 (1996).
    • (1996) ZAMP , vol.47 , pp. 809-816
    • Healey, T.J.1
  • 10
    • 0011228486 scopus 로고    scopus 로고
    • On steady motions of a drawn cable. Trans
    • O'Reilly, O. M.: On steady motions of a drawn cable. Trans. ASME J. Appl. Mech. 63, 180-189 (1996).
    • (1996) ASME J. Appl. Mech. , vol.63 , pp. 180-189
    • O'Reilly, O.M.1
  • 11
    • 0004501007 scopus 로고    scopus 로고
    • A treatment of shocks in one-dimensional thermomechanical media
    • O'Reilly, O. M., Varadi, P. C.: A treatment of shocks in one-dimensional thermomechanical media. Contin. Mech. Thermodyn. 11, 339-352 (1999).
    • (1999) Contin. Mech. Thermodyn , vol.11 , pp. 339-352
    • O'Reilly, O.M.1    Varadi, P.C.2
  • 12
    • 0010403937 scopus 로고
    • Nucleation, kinetics and admissibility criteria for propagating phase boundaries
    • (Dunn, J. E., Fosdick, R., Slemrod, M., eds.) Berlin: Springer
    • Abeyaratne, R. Knowles, J. K.: Nucleation, kinetics and admissibility criteria for propagating phase boundaries. In: Shock induced transitions and phase structures in generalized media (Dunn, J. E., Fosdick, R., Slemrod, M., eds.), pp. 1-33. Berlin: Springer 1993.
    • (1993) Shock Induced Transitions and Phase Structures in Generalized Media , pp. 1-33
    • Abeyaratne, R.1    Knowles, J.K.2
  • 14
    • 0040768653 scopus 로고
    • Cambridge: Cambridge University Press
    • Love, A. E. H.: Theoretical mechanics. Cambridge: Cambridge University Press 1897.
    • (1897) Theoretical Mechanics
    • Love, A.E.H.1
  • 15
    • 0242608733 scopus 로고
    • On the equation of motion of a chain
    • Reeken, M.: On the equation of motion of a chain. Math. Zeitschr. 155, 219-237 (1977).
    • (1977) Math. Zeitschr. , vol.155 , pp. 219-237
    • Reeken, M.1
  • 16
    • 0031353818 scopus 로고    scopus 로고
    • On the paradox of the free falling folded chain
    • Schagerl, M., Steindl, A., Steiner, W., Troger, H.: On the paradox of the free falling folded chain. Acta Mech. 125, 155-168 (1997).
    • (1997) Acta Mech. , vol.125 , pp. 155-168
    • Schagerl, M.1    Steindl, A.2    Steiner, W.3    Troger, H.4
  • 17
    • 0023329897 scopus 로고
    • Three-dimensional vibration of travelling elastic cables
    • Perkins, N. C., Mote, C. D. Jr.: Three-dimensional vibration of travelling elastic cables. J. Sound Vibr. 114, 325-340 (1987).
    • (1987) J. Sound Vibr. , vol.114 , pp. 325-340
    • Perkins, N.C.1    Mote Jr., C.D.2
  • 18
    • 0024964233 scopus 로고
    • Theoretical experimental stability of two translating cable equilibria
    • Perkins, N. C., Mote, C. D. Jr.: Theoretical and experimental stability of two translating cable equilibria. J. Sound Vibr. 128, 397-410 (1989).
    • (1989) J. Sound Vibr. , vol.128 , pp. 397-410
    • Perkins, N.C.1    Mote Jr., C.D.2
  • 19
    • 0033300262 scopus 로고    scopus 로고
    • Shocks in thermoelastic rods
    • (Casey, J., Abeyaratne, R., eds.) New York: ASME
    • O'Reilly, O. M., Varadi, P. C.: Shocks in thermoelastic rods. In: Finite thermoelasticity (Casey, J., Abeyaratne, R., eds.), pp. 105-115, ASME-AMD-236. New York: ASME 1999.
    • (1999) Finite Thermoelasticity , vol.ASME-AMD-236 , pp. 105-115
    • O'Reilly, O.M.1    Varadi, P.C.2
  • 20
    • 0018707065 scopus 로고
    • On thermal effects in the theory of rods
    • Green, A. E., Naghdi, P. M.: On thermal effects in the theory of rods. Int. J. Solids Struct. 15, 829-853 (1979).
    • (1979) Int. J. Solids Struct , vol.15 , pp. 829-853
    • Green, A.E.1    Naghdi, P.M.2
  • 21
    • 0005032806 scopus 로고
    • A direct theory of viscous fluid flow in pipes. I: Basic general developments
    • Green, A. E., Naghdi, P. M.: A direct theory of viscous fluid flow in pipes. I: Basic general developments. Phil. Trans. Roy. Soc. London A342, 525-542 (1993).
    • (1993) Phil. Trans. Roy. Soc. London , vol.A342 , pp. 525-542
    • Green, A.E.1    Naghdi, P.M.2
  • 22
    • 0040070493 scopus 로고
    • A derivation of jump condition for entropy in thermomechanics
    • Green, A. E., Naghdi, P. M.: A derivation of jump condition for entropy in thermomechanics. J. Elast. 8, 179-182 (1978).
    • (1978) J. Elast. , vol.8 , pp. 179-182
    • Green, A.E.1    Naghdi, P.M.2
  • 23
    • 0039579180 scopus 로고
    • A thermodynamical theory of turbulence. I. Basic developments
    • Marshall, J. S., Naghdi, P. M.: A thermodynamical theory of turbulence. I. Basic developments. Phil. Trans. Roy. Soc. London A327, 415-448 (1989).
    • (1989) Phil. Trans. Roy. Soc. London , vol.A327 , pp. 415-448
    • Marshall, J.S.1    Naghdi, P.M.2
  • 24
    • 0012083180 scopus 로고    scopus 로고
    • Discussion of 'A treatment of internally constrained materials'
    • J. Casey
    • Casey, J., Carroll, M. M.: Discussion of 'A treatment of internally constrained materials' by J. Casey. Trans. ASME J. Appl. Mech. 63, 240 (1996).
    • (1996) Trans. ASME J. Appl. Mech. , vol.63 , pp. 240
    • Casey, J.1    Carroll, M.M.2
  • 25
    • 84996465437 scopus 로고
    • On kinematical conditions for steady motions of strings and rods
    • Nordenholz, T. R., O'Reilly, O. M.: On kinematical conditions for steady motions of strings and rods. Trans. ASME J. Appl. Mech. 62, 820-822 (1995).
    • (1995) Trans. ASME J. Appl. Mech. , vol.62 , pp. 820-822
    • Nordenholz, T.R.1    O'Reilly, O.M.2
  • 27
    • 0242524064 scopus 로고
    • Non-classical derivation of the transport theorems
    • Estrada, R., Kanwal, R. P.: Non-classical derivation of the transport theorems. J. Math. Anal. Appl. 159, 290-297 (1991).
    • (1991) J. Math. Anal. Appl. , vol.159 , pp. 290-297
    • Estrada, R.1    Kanwal, R.P.2
  • 28
    • 0002934689 scopus 로고
    • The wave equation in a medium in motion
    • Miranker, W. L.: The wave equation in a medium in motion. IBM J. Res. Develop. 4, 36-42 (1960).
    • (1960) IBM J. Res. Develop. , vol.4 , pp. 36-42
    • Miranker, W.L.1
  • 30
    • 0038370683 scopus 로고
    • Tensor fields
    • (Flügge, S., ed.) New York Heidelberg Berlin: Springer
    • Ericksen, J. L.: Tensor fields. In: Handbuch der Physik (Flügge, S., ed.), III/1, pp. 794-858. New York Heidelberg Berlin: Springer 1960.
    • (1960) Handbuch der Physik , vol.3 , Issue.1 , pp. 794-858
    • Ericksen, J.L.1
  • 31
    • 0026371083 scopus 로고
    • On the Lagrangian description of vorticity
    • Casey, J., Naghdi, P. M.: On the Lagrangian description of vorticity. Arch. Rat. Mech. Anal. 115, 1-14 (1991).
    • (1991) Arch. Rat. Mech. Anal. , vol.115 , pp. 1-14
    • Casey, J.1    Naghdi, P.M.2
  • 32
    • 0004168443 scopus 로고
    • Cambridge: Cambridge University Press
    • Lamb, H.: Hydrodynamics, 6th ed. Cambridge: Cambridge University Press 1932.
    • (1932) Hydrodynamics, 6th Ed.
    • Lamb, H.1
  • 33
    • 0028762549 scopus 로고
    • Vibration and stability analysis of a multi-guided rotating string
    • Xiong, Y., Hutton, S. G.: Vibration and stability analysis of a multi-guided rotating string. J. Sound Vibr. 169, 669-683 (1994).
    • (1994) J. Sound Vibr. , vol.169 , pp. 669-683
    • Xiong, Y.1    Hutton, S.G.2
  • 34
    • 0040163069 scopus 로고
    • Interaction between an idealized rotating string and stationary constraints
    • Yang, L., Hutton, S. G.: Interaction between an idealized rotating string and stationary constraints. J. Sound Vibr. 185, 139-154 (1995).
    • (1995) J. Sound Vibr. , vol.185 , pp. 139-154
    • Yang, L.1    Hutton, S.G.2
  • 35
    • 0031119067 scopus 로고    scopus 로고
    • Natural frequencies and stability of an axially-travelling string in contact with a stationary load system
    • Chen, J. -S.: Natural frequencies and stability of an axially-travelling string in contact with a stationary load system. Trans. ASME J Vibr. Acoust. 119, 152-157 (1997).
    • (1997) Trans. ASME J Vibr. Acoust. , vol.119 , pp. 152-157
    • Chen, J.-S.1
  • 36
    • 0025750534 scopus 로고
    • The vibration and stability of a friction-guided, translating string
    • Cheng, S. -P., Perkins, N. C.: The vibration and stability of a friction-guided, translating string. J. Sound Vibr. 144, 281-292 (1991).
    • (1991) J. Sound Vibr. , vol.144 , pp. 281-292
    • Cheng, S.-P.1    Perkins, N.C.2
  • 37
    • 0242440446 scopus 로고    scopus 로고
    • On axial motions of closed loops of string in the presence of a singular supply of momentum
    • Submitted
    • O'Reilly, O. M., Varadi, P. C.: On axial motions of closed loops of string in the presence of a singular supply of momentum. ASME J. Appl. Mech. (Submitted).
    • ASME J. Appl. Mech.
    • O'Reilly, O.M.1    Varadi, P.C.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.