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Volumn 128, Issue 2, 2006, Pages 231-243

Parametric instability of a rotating circular ring with moving time-varying springs

Author keywords

[No Author keywords available]

Indexed keywords

GEARS; PERTURBATION TECHNIQUES; ROTATING MACHINERY; SPRINGS (COMPONENTS); STIFFNESS; VIBRATIONS (MECHANICAL);

EID: 33645831790     PISSN: 10489002     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2159040     Document Type: Article
Times cited : (39)

References (40)
  • 1
    • 0003510217 scopus 로고
    • "The Bending Vibration of a Circular Ring"
    • Hoppe, R., 1871, "The Bending Vibration of a Circular Ring," Crelles J. Math., 73, pp. 158-170.
    • (1871) Crelles J. Math. , vol.73 , pp. 158-170
    • Hoppe, R.1
  • 3
    • 0000258611 scopus 로고
    • "On the Vibration of a Thick Ring in Its Own Plane"
    • Seidel, B. S., and Erdelyi, E. A., 1964, "On the Vibration of a Thick Ring in Its Own Plane," ASME J. Eng. Ind., 86, pp. 240-244.
    • (1964) ASME J. Eng. Ind. , vol.86 , pp. 240-244
    • Seidel, B.S.1    Erdelyi, E.A.2
  • 4
    • 85024586980 scopus 로고
    • "Nonlinear Flexural Vibrations of Thin Circular Rings"
    • Evensen, D. A., 1966, "Nonlinear Flexural Vibrations of Thin Circular Rings," ASME J. Appl. Mech., 33, pp. 553-560.
    • (1966) ASME J. Appl. Mech. , vol.33 , pp. 553-560
    • Evensen, D.A.1
  • 5
    • 85023645594 scopus 로고
    • "In-Plane Flexural Vibrations of Circular Rings"
    • Rao, S. S., and Sundararajan, V., 1969, "In-Plane Flexural Vibrations of Circular Rings," ASME J. Appl. Mech., 91(3), pp. 620-625.
    • (1969) ASME J. Appl. Mech. , vol.91 , Issue.3 , pp. 620-625
    • Rao, S.S.1    Sundararajan, V.2
  • 6
    • 31444450501 scopus 로고
    • "Three-Dimensional Vibrations of a Ring on an Elastic Foundation"
    • Rao, S. S., 1971, "Three-Dimensional Vibrations of a Ring on an Elastic Foundation," Aeronaut. J., 75, pp. 417-419.
    • (1971) Aeronaut. J. , vol.75 , pp. 417-419
    • Rao, S.S.1
  • 7
    • 0016884415 scopus 로고
    • "Simple Frequency Expression for the In-Plane Vibration of Thick Circular Rings"
    • Kirkhope, J., 1976, "Simple Frequency Expression for the In-Plane Vibration of Thick Circular Rings," J. Acoust. Soc. Am., 59(1), pp. 86-89.
    • (1976) J. Acoust. Soc. Am. , vol.59 , Issue.1 , pp. 86-89
    • Kirkhope, J.1
  • 8
    • 0017394880 scopus 로고
    • "In-Plane Vibration of a Thick Circular Ring"
    • Kirkhope, J., 1977, "In-Plane Vibration of a Thick Circular Ring," J. Sound Vib., 50(2), pp. 219-227.
    • (1977) J. Sound Vib. , vol.50 , Issue.2 , pp. 219-227
    • Kirkhope, J.1
  • 9
    • 3342959933 scopus 로고
    • "Measurements to the Theories of Resonant Vibrations of Circular Rings of Arbitrary Wall Thickness"
    • Kuhl, W., 1942, "Measurements to the Theories of Resonant Vibrations of Circular Rings of Arbitrary Wall Thickness," Akust. Z., 7, pp. 125-152.
    • (1942) Akust. Z. , vol.7 , pp. 125-152
    • Kuhl, W.1
  • 10
    • 0005793411 scopus 로고
    • "Experimental and Theoretical Determination of Frequencies of Elastic Toroids"
    • Lincoln, J. W., and Volterra, E., 1967, "Experimental and Theoretical Determination of Frequencies of Elastic Toroids," Exp. Mech., 24, pp. 211-217.
    • (1967) Exp. Mech. , vol.24 , pp. 211-217
    • Lincoln, J.W.1    Volterra, E.2
  • 11
    • 0017769934 scopus 로고
    • "A Generalized Analysis of the Vibration of Circular Rings"
    • Hawkings, D. L., 1977, "A Generalized Analysis of the Vibration of Circular Rings," J. Sound Vib., 54(1), pp. 67-74.
    • (1977) J. Sound Vib. , vol.54 , Issue.1 , pp. 67-74
    • Hawkings, D.L.1
  • 12
    • 85169768635 scopus 로고    scopus 로고
    • "Vibration of Rings on a General Elastic Foundation"
    • (in press)
    • Wu, X., and Parker, R. G., "Vibration of Rings on a General Elastic Foundation," Journal of Sound and Vibration (in press).
    • Journal of Sound and Vibration
    • Wu, X.1    Parker, R.G.2
  • 13
    • 0038247369 scopus 로고
    • "On the Vibrations of the Rotating Ring"
    • Carrier, G. F., 1945, "On the Vibrations of the Rotating Ring," Q. Appl. Math., 3(3), pp. 235-245.
    • (1945) Q. Appl. Math. , vol.3 , Issue.3 , pp. 235-245
    • Carrier, G.F.1
  • 14
    • 0042158092 scopus 로고
    • "Free Vibrations of a Rotating Elastic Body"
    • Johnson, D. C., 1952, "Free Vibrations of a Rotating Elastic Body," Aircr. Eng., 24, pp. 234-236.
    • (1952) Aircr. Eng. , vol.24 , pp. 234-236
    • Johnson, D.C.1
  • 15
    • 0018105987 scopus 로고
    • "On Vibration of a Thick Flexible Ring Rotating at High Speed"
    • Bert, C. W., and Chen, T. L. C., 1978, "On Vibration of a Thick Flexible Ring Rotating at High Speed," J. Sound Vib., 61(4), pp. 517-570.
    • (1978) J. Sound Vib. , vol.61 , Issue.4 , pp. 517-570
    • Bert, C.W.1    Chen, T.L.C.2
  • 16
    • 0021196575 scopus 로고
    • "Flexural Vibration of a Thin Rotating Ring"
    • Endo, M., Hatamura, Y,, Sakata, M., and Taniguchi, O., 1984, "Flexural Vibration of a Thin Rotating Ring," J. Sound Vib., 92(2), pp. 261-272.
    • (1984) J. Sound Vib. , vol.92 , Issue.2 , pp. 261-272
    • Endo, M.1    Hatamura, Y.2    Sakata, M.3    Taniguchi, O.4
  • 17
    • 0022421354 scopus 로고
    • "On the In-Plane Vibrations of Rotating Rings"
    • Bickford, W. B., and Reddy, E. S., 1985, "On the In-Plane Vibrations of Rotating Rings," J. Sound Vib., 101(1), pp. 13-22.
    • (1985) J. Sound Vib. , vol.101 , Issue.1 , pp. 13-22
    • Bickford, W.B.1    Reddy, E.S.2
  • 18
    • 0023044777 scopus 로고
    • "Free Vibration of a Pneumatic Tire-Wheel Unit Using a Rings on an Elastic Foundation and a Finite Element Model"
    • Kung, L. E., and Soedel, W., 1986, "Free Vibration of a Pneumatic Tire-Wheel Unit Using a Rings on an Elastic Foundation and a Finite Element Model," J. Sound Vib., 107(2), pp. 181-194.
    • (1986) J. Sound Vib. , vol.107 , Issue.2 , pp. 181-194
    • Kung, L.E.1    Soedel, W.2
  • 19
    • 0027115318 scopus 로고
    • "An Approach to the Dynamic Analysis of Rotating Tire-Wheel-Suspension Units"
    • Huang, S. C., and Hsu, B. S., 1992, "An Approach to the Dynamic Analysis of Rotating Tire-Wheel-Suspension Units," J. Sound Vib., 156(3), pp. 505-519.
    • (1992) J. Sound Vib. , vol.156 , Issue.3 , pp. 505-519
    • Huang, S.C.1    Hsu, B.S.2
  • 20
    • 0032022735 scopus 로고    scopus 로고
    • "Dynamics of a Tire-Wheel-Suspension Assembly"
    • Dohrmann, C. R., 1998, "Dynamics of a Tire-Wheel-Suspension Assembly," J. Sound Vib., 210(5), pp. 627-642.
    • (1998) J. Sound Vib. , vol.210 , Issue.5 , pp. 627-642
    • Dohrmann, C.R.1
  • 21
    • 33645825075 scopus 로고    scopus 로고
    • "Comments on Dynamics of a Tire-Wheel-Suspension Assembly"
    • Morgan, C. D., 2000, "Comments on Dynamics of a Tire-Wheel-Suspension Assembly," J. Sound Vib., 232(2), pp. 473-476.
    • (2000) J. Sound Vib. , vol.232 , Issue.2 , pp. 473-476
    • Morgan, C.D.1
  • 22
    • 23344443590 scopus 로고    scopus 로고
    • "Free Non-Linear Vibration of a Rotating Thin Ring With the In-Plane and Out-of-Plane Motions"
    • Kim, W., and Chung, J., 2002, "Free Non-Linear Vibration of a Rotating Thin Ring With the In-Plane and Out-of-Plane Motions," J. Sound Vib., 258(1), pp. 167-178.
    • (2002) J. Sound Vib. , vol.258 , Issue.1 , pp. 167-178
    • Kim, W.1    Chung, J.2
  • 23
    • 0023648106 scopus 로고
    • "Effect of Coriolis Acceleration on the Free and Forced In-Plane Vibrations of Rotating Rings on Elastic Foundation"
    • Huang, S. C., and Soedel, W., 1987, "Effect of Coriolis Acceleration on the Free and Forced In-Plane Vibrations of Rotating Rings on Elastic Foundation," J. Sound Vib., 115(2), pp. 253-274.
    • (1987) J. Sound Vib. , vol.115 , Issue.2 , pp. 253-274
    • Huang, S.C.1    Soedel, W.2
  • 24
    • 0023437055 scopus 로고
    • "Response of Rotating Rings to Harmonic and Periodic Loading and Comparison With the Inverted Problem"
    • Huang, S. C., and Soedel, W., 1987, "Response of Rotating Rings to Harmonic and Periodic Loading and Comparison With the Inverted Problem," J. Sound Vib., 118(2), pp. 253-270.
    • (1987) J. Sound Vib. , vol.118 , Issue.2 , pp. 253-270
    • Huang, S.C.1    Soedel, W.2
  • 25
    • 0033734276 scopus 로고    scopus 로고
    • "Steady-State Vibrations of an Elastic Ring Under Moving Load"
    • Metrikin, A. V., and Tochilin, M. V., 2000, "Steady-State Vibrations of an Elastic Ring Under Moving Load," J. Sound Vib., 232(3), pp. 511-524.
    • (2000) J. Sound Vib. , vol.232 , Issue.3 , pp. 511-524
    • Metrikin, A.V.1    Tochilin, M.V.2
  • 26
    • 0000324522 scopus 로고
    • "Stability of Circular Plates Subjected to Moving Loads"
    • Mote, C. D., Jr., 1970, "Stability of Circular Plates Subjected to Moving Loads," J. Franklin Inst., 290(4), pp. 329-344.
    • (1970) J. Franklin Inst. , vol.290 , Issue.4 , pp. 329-344
    • Mote Jr., C.D.1
  • 27
    • 0015638461 scopus 로고
    • "The Response of an Elastic Disk With a Moving Mass System"
    • Iwan, W. D., and Stahl, K. J., 1973, "The Response of an Elastic Disk With a Moving Mass System," ASME J. Appl. Mech., 40(2), pp. 445-451.
    • (1973) ASME J. Appl. Mech. , vol.40 , Issue.2 , pp. 445-451
    • Iwan, W.D.1    Stahl, K.J.2
  • 28
    • 0016993608 scopus 로고
    • "The Stability of a Spinning Elastic Disk With a Transverse Load System"
    • Iwan, W. D., and Moeller, T. L., 1976, "The Stability of a Spinning Elastic Disk With a Transverse Load System," ASME J. Appl. Mech., 43(3), pp. 485-490.
    • (1976) ASME J. Appl. Mech. , vol.43 , Issue.3 , pp. 485-490
    • Iwan, W.D.1    Moeller, T.L.2
  • 29
    • 0026189296 scopus 로고
    • "On the Mechanisms of Instability of a Circular Plate Under a Rotating Spring-Mass-Dashpot System"
    • Shen, I. Y., and Mote, C. D., Jr., 1991, "On the Mechanisms of Instability of a Circular Plate Under a Rotating Spring-Mass-Dashpot System," J. Sound Vib., 148(2), pp. 307-318.
    • (1991) J. Sound Vib. , vol.148 , Issue.2 , pp. 307-318
    • Shen, I.Y.1    Mote Jr., C.D.2
  • 30
    • 0013294055 scopus 로고
    • "Parametric Resonances of a Circular Plate With Inclusion Subjected to a Rotating Spring"
    • Shen, I. Y., and Mote, C. D., Jr., 1991, "Parametric Resonances of a Circular Plate With Inclusion Subjected to a Rotating Spring," J. Sound Vib., 149(1), pp. 164-169.
    • (1991) J. Sound Vib. , vol.149 , Issue.1 , pp. 164-169
    • Shen, I.Y.1    Mote Jr., C.D.2
  • 31
    • 0026627031 scopus 로고
    • "Parametric Excitation Under Multiple Excitation Parameters: Asymmetric Plates Under a Rotating Spring"
    • Shen, I. Y., and Mote, C. D., Jr., 1992, "Parametric Excitation Under Multiple Excitation Parameters: Asymmetric Plates Under a Rotating Spring," Int. J. Solids Struct., 29(8), pp. 1019-1032.
    • (1992) Int. J. Solids Struct. , vol.29 , Issue.8 , pp. 1019-1032
    • Shen, I.Y.1    Mote Jr., C.D.2
  • 32
    • 85169776364 scopus 로고    scopus 로고
    • "Parametric Instability of a Circular Ring Subjected to Moving Springs"
    • (in press)
    • Vangipuram Canchi, S., and Parker, R. G., "Parametric Instability of a Circular Ring Subjected to Moving Springs," Journal of Sound and Vibration (in press).
    • Journal of Sound and Vibration
    • Vangipuram, C.S.1    Parker, R.G.2
  • 33
    • 33645818652 scopus 로고    scopus 로고
    • "Parametric Instability of a Circular Ring Subjected to Moving Springs"
    • Masters thesis, Ohio State University
    • Vangipuram, Canchi, S., 2004, "Parametric Instability of a Circular Ring Subjected to Moving Springs," Masters thesis, Ohio State University.
    • (2004)
    • Vangipuram, C.S.1
  • 34
    • 85169776142 scopus 로고    scopus 로고
    • "Effect of Ring-Planet Mesh Phasing and Contact Ratio on Parametric Instabilities of a Planetary Gear Ring"
    • (in preparation)
    • Vangipuram Canchi, S., and Parker, R. G., "Effect of Ring-Planet Mesh Phasing and Contact Ratio on Parametric Instabilities of a Planetary Gear Ring," (in preparation).
    • Vangipuram, C.S.1    Parker, R.G.2
  • 35
    • 33645836943 scopus 로고
    • "On the Out-of-Plane Vibrations of Thick Rotating Rings"
    • Bickford, W. B., and Maganty, S. P., 1986, "On the Out-of-Plane Vibrations of Thick Rotating Rings," J. Sound Vib., 110(1), pp. 121-127.
    • (1986) J. Sound Vib. , vol.110 , Issue.1 , pp. 121-127
    • Bickford, W.B.1    Maganty, S.P.2
  • 36
    • 0002425510 scopus 로고    scopus 로고
    • "Parametric Instability of Axially Moving Media Subjected to Multifrequency Tension and Speed Fluctuation"
    • Parker, R. G., and Lin, Y., 2001, "Parametric Instability of Axially Moving Media Subjected to Multifrequency Tension and Speed Fluctuation," ASME J. Appl. Mech., 68(1), pp. 49-57.
    • (2001) ASME J. Appl. Mech. , vol.68 , Issue.1 , pp. 49-57
    • Parker, R.G.1    Lin, Y.2
  • 37
    • 0023981561 scopus 로고
    • "Mathematical Models Used in Gear Dynamics"
    • Ozguven, N. H., and Houser, D. R., 1988, "Mathematical Models Used in Gear Dynamics," J. Sound Vib., 121(3), pp. 383-411.
    • (1988) J. Sound Vib. , vol.121 , Issue.3 , pp. 383-411
    • Ozguven, N.H.1    Houser, D.R.2
  • 38
    • 0034293765 scopus 로고    scopus 로고
    • "Non-Linear Dynamic Response of a Spur Gear Pair: Modeling and Experimental Comparisons"
    • Parker, R. G., Vijayakar, S. M., and Imajo, T., 2000, "Non-Linear Dynamic Response of a Spur Gear Pair: Modeling and Experimental Comparisons," J. Sound Vib., 237(3), pp. 435-455.
    • (2000) J. Sound Vib. , vol.237 , Issue.3 , pp. 435-455
    • Parker, R.G.1    Vijayakar, S.M.2    Imajo, T.3
  • 40
    • 85041097225 scopus 로고    scopus 로고
    • "Mesh Phasing Relationships in Planetary and Epicyclic Gears"
    • Parker, R. G., and Lin, J., 2004, "Mesh Phasing Relationships in Planetary and Epicyclic Gears," J. Mech. Des., 126, pp. 365-370.
    • (2004) J. Mech. Des. , vol.126 , pp. 365-370
    • Parker, R.G.1    Lin, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.