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Volumn 66, Issue 3, 1999, Pages 720-728

Heteroclinic bifurcations in rigid bodies containing internally moving parts and a viscous damper

Author keywords

[No Author keywords available]

Indexed keywords

HETEROCLINIC BIFURCATIONS; MELNIKOV'S METHOD; VISCOUS DAMPING;

EID: 0033187671     PISSN: 00218936     EISSN: 15289036     Source Type: Journal    
DOI: 10.1115/1.2791660     Document Type: Article
Times cited : (12)

References (39)
  • 1
    • 0018943934 scopus 로고
    • Dual-Spin Spacecraft Dynamics During Platform Spinup
    • Adams, G. J., 1980, “Dual-Spin Spacecraft Dynamics During Platform Spinup,”Journal of Guidance and Control, Vol. 3, No. 1, pp. 29-36.
    • (1980) Journal of Guidance and Control , vol.3 , Issue.1 , pp. 29-36
    • Adams, G.J.1
  • 2
    • 0023383117 scopus 로고
    • Rotational Elastic Dynamics
    • Baillieul, J., and Levi, M., 1987, “Rotational Elastic Dynamics,”Physica, Vol. 27D, pp. 43-62.
    • (1987) Physica , vol.27D , pp. 43-62
    • Baillieul, J.1    Levi, M.2
  • 3
    • 0346802471 scopus 로고
    • Techniques for Flat-Spin Recovery of Spinning Satellites
    • Key Biscayne, Florida, AIAA paper 73-859
    • Barba, P. M., Furumoto, N., and Leliakov, I. P., 1973, “Techniques for Flat-Spin Recovery of Spinning Satellites,” A1AA Guidance and Control Conference, Key Biscayne, Florida, AIAA paper 73-859.
    • (1973) A1AA Guidance and Control Conference
    • Barba, P.M.1    Furumoto, N.2    Leliakov, I.P.3
  • 4
    • 0017012014 scopus 로고
    • Satellite Attitude Acquisition by Momentum Transfer
    • Barba, P. M., and Aubrun, J.N., 1976, “Satellite Attitude Acquisition by Momentum Transfer,”AIAA Journal, Vol. 14, No. 10, pp. 1382-1386.
    • (1976) AIAA Journal , vol.14 , Issue.10 , pp. 1382-1386
    • Barba, P.M.1    Aubrun, J.N.2
  • 5
    • 33749939011 scopus 로고    scopus 로고
    • Analytical and Numerical Analysis of Nonlinear Phenomena for a Class of Spacecraft Attitude Acquisition Maneuvers
    • The Pennsylvania State University, University Park, PA
    • Campbell, D. R., III, 1997, “Analytical and Numerical Analysis of Nonlinear Phenomena for a Class of Spacecraft Attitude Acquisition Maneuvers,” Ph.D. dissertation, The Pennsylvania State University, University Park, PA.
    • (1997) Ph.D. Dissertation
    • Campbell, D.R.1
  • 6
    • 0029410446 scopus 로고
    • Motion of a Rigid Body with an Attached Spring-Mass Damper
    • Chinnery, A. E., and Hall, C. D., 1995, “Motion of a Rigid Body with an Attached Spring-Mass Damper,”Journal of Guidance, Control, and Dynamics, Vol. 18, No. 6, pp. 1404-1409.
    • (1995) Journal of Guidance, Control, and Dynamics , vol.18 , Issue.6 , pp. 1404-1409
    • Chinnery, A.E.1    Hall, C.D.2
  • 7
    • 0019040435 scopus 로고
    • Resonances in the Attitude Motions of Asymmetric Dual-Spin Spacecraft
    • Cochran, J. E., and Holloway, H. E., 1980, “Resonances in the Attitude Motions of Asymmetric Dual-Spin Spacecraft,”The Journal of the Astronautical Sciences, Vol. 28, No. 3, pp. 231-254.
    • (1980) The Journal of the Astronautical Sciences , vol.28 , Issue.3 , pp. 231-254
    • Cochran, J.E.1    Holloway, H.E.2
  • 8
    • 85003220311 scopus 로고
    • Flat Spin Recovery of a Rigid Asymmetric Spacecraft
    • Cronin, D. L., 1978, “Flat Spin Recovery of a Rigid Asymmetric Spacecraft,”Journal of Guidance and Control, Vol. 1, No. 4, pp. 281-282.
    • (1978) Journal of Guidance and Control , vol.1 , Issue.4 , pp. 281-282
    • Cronin, D.L.1
  • 9
    • 0024894359 scopus 로고
    • Some New Dynamical Effects in the Perturbed Euler-Poinsot Problem Due to Splitting of Separatrices
    • Dovbysh, S. A., 1989, “Some New Dynamical Effects in the Perturbed Euler-Poinsot Problem Due to Splitting of Separatrices,”Journal of Applied Mathematics and Mechanics, Vol. 53, No. 2, pp. 165-173.
    • (1989) Journal of Applied Mathematics and Mechanics , vol.53 , Issue.2 , pp. 165-173
    • Dovbysh, S.A.1
  • 10
    • 0016972854 scopus 로고
    • Perturbation Solution for the Flat Spin Recovery of a Dual-Spin Spacecraft
    • Gebman, J. R., and Mingori, D. L., 1976, “Perturbation Solution for the Flat Spin Recovery of a Dual-Spin Spacecraft,”AIAA Journal, Vol. 14, No. 7, pp. 859-867.
    • (1976) AIAA Journal , vol.14 , Issue.7 , pp. 859-867
    • Gebman, J.R.1    Mingori, D.L.2
  • 11
    • 0000591612 scopus 로고    scopus 로고
    • Chaos in a Spacecraft Attitude Maneuver Due to Time-Periodic Perturbations
    • Gray, G. L., Dobson, I., and Kammer, D. C., 1996, “Chaos in a Spacecraft Attitude Maneuver Due to Time-Periodic Perturbations,” ASME Journal of Applied Mechanics, Vol. 63, pp. 501-508.
    • (1996) ASME Journal of Applied Mechanics , vol.63 , pp. 501-508
    • Gray, G.L.1    Dobson, I.2    Kammer, D.C.3
  • 12
    • 0026974681 scopus 로고
    • Chaos in an Attitude Maneuver of a Damped Satellite Due to Time-Periodic Perturbations
    • Colorado Springs, CO, Paper AAS
    • Gray, G. L., Kammer, D. C., and Dobson, I., 1992, “Chaos in an Attitude Maneuver of a Damped Satellite Due to Time-Periodic Perturbations,” AAS/AIAA Spaceflight Mechanics Conference, Colorado Springs, CO, Paper AAS 92-171.
    • (1992) AAS/AIAA Spaceflight Mechanics Conference , pp. 92-171
    • Gray, G.L.1    Kammer, D.C.2    Dobson, I.3
  • 13
    • 0032124015 scopus 로고    scopus 로고
    • Analytical Criterion for Chaotic Dynamics in Flexible Satellites with Nonlinear Controller Damping
    • Gray, G. L., Mazzoleni, A. P., and Campbell, D. R., Ill, 1998, “Analytical Criterion for Chaotic Dynamics in Flexible Satellites with Nonlinear Controller Damping,”Journal of Guidance, Control, and Dynamics, Vol. 21, No. 4, pp. 558-565.
    • (1998) Journal of Guidance, Control, and Dynamics , vol.21 , Issue.4 , pp. 558-565
    • Gray, G.L.1    Mazzoleni, A.P.2    Campbell, D.R.3
  • 15
    • 0028194759 scopus 로고
    • Spinup Dynamics of Axial Dual-Spin Spacecraft
    • Hall, C. D., and Rand, R. H., 1994, “Spinup Dynamics of Axial Dual-Spin Spacecraft,”Journal of Guidance, Control, and Dynamics, Vol. 17, No. 1, pp. 30-37.
    • (1994) Journal of Guidance, Control, and Dynamics , vol.17 , Issue.1 , pp. 30-37
    • Hall, C.D.1    Rand, R.H.2
  • 16
    • 0001811061 scopus 로고
    • ODEPACK, A Systematized Collection of ODE Solvers
    • R. S. Stepleman et al., eds., North-Holland, Amsterdam, pp, Also see
    • Hindmarsh, A. C., 1983, “ODEPACK, A Systematized Collection of ODE Solvers,” Scientific Computing, R. S. Stepleman et al., eds., North-Holland, Amsterdam, pp. 55-64. (Also see http://gams.nist.gov/to obtain the source code.)
    • (1983) Scientific Computing , pp. 55-64
    • Hindmarsh, A.C.1
  • 17
    • 0018984656 scopus 로고
    • Averaging and Chaotic Motions in Forced Oscillations
    • Holmes, P. J., 1980, “Averaging and Chaotic Motions in Forced Oscillations,”SIAM Journal of Applied Mathematics, Vol. 38, No. 1, pp. 65-80.
    • (1980) SIAM Journal of Applied Mathematics , vol.38 , Issue.1 , pp. 65-80
    • Holmes, P.J.1
  • 18
    • 84889121846 scopus 로고
    • Errata and Addenda: Averaging and Chaotic Motions in Forced Oscillations
    • Holmes, P. J., 1981, “Errata and Addenda: Averaging and Chaotic Motions in Forced Oscillations,”SIAM Journal of Applied Mathematics, Vol. 40, No. 1, pp. 167-168.
    • (1981) SIAM Journal of Applied Mathematics , vol.40 , Issue.1 , pp. 167-168
    • Holmes, P.J.1
  • 19
    • 0020917643 scopus 로고
    • Bifurcation and Chaos in a Simple Feedback Control System
    • San Antonio, TX, IEEE, Piscataway, NJ
    • Holmes, P., 1983, “Bifurcation and Chaos in a Simple Feedback Control System,” Proceedings of the 22nd IEEE Conference on Decision and Control, San Antonio, TX, IEEE, Piscataway, NJ, pp. 365-370.
    • (1983) Proceedings of the 22Nd IEEE Conference on Decision and Control , pp. 365-370
    • Holmes, P.1
  • 20
    • 0001764721 scopus 로고
    • Horseshoes and Arnold Diffusion for Hamiltonian Systems on Lie Groups
    • Holmes, P. J., and Marsden, J. E., 1983, “Horseshoes and Arnold Diffusion for Hamiltonian Systems on Lie Groups,”Indiana University Mathematics Journal, Vol. 32, No. 2, pp. 273-309.
    • (1983) Indiana University Mathematics Journal , vol.32 , Issue.2 , pp. 273-309
    • Holmes, P.J.1    Marsden, J.E.2
  • 22
    • 0015746255 scopus 로고
    • Control of Spin Ambiguity During Reorientation of an Energy Dissipating Body
    • Kaplan, M. H., and Cenker, R. J., 1973, “Control of Spin Ambiguity During Reorientation of an Energy Dissipating Body,”Journal of Spacecraft and Rockets, Vol. 10, No. 12, pp. 757-760.
    • (1973) Journal of Spacecraft and Rockets , vol.10 , Issue.12 , pp. 757-760
    • Kaplan, M.H.1    Cenker, R.J.2
  • 23
    • 0000076429 scopus 로고
    • A Mechanical System with a ‘Wild Horseshoe
    • Koiller, J., 1984, “A Mechanical System with a ‘Wild’ Horseshoe,”Journal of Mathematical Physics, Vol. 25, No. 5, pp. 1599-1604.
    • (1984) Journal of Mathematical Physics , vol.25 , Issue.5 , pp. 1599-1604
    • Koiller, J.1
  • 24
    • 0022135219 scopus 로고
    • Lie-Poisson Structures, Dual-Spin Spacecraft and Asymptotic Stability
    • Krishnaprasad, P. S., 1985, “Lie-Poisson Structures, Dual-Spin Spacecraft and Asymptotic Stability,”Nonlinear Analysis, Theory, Methods & Applications, Vol. 9, No. 10, pp. 1011-1035.
    • (1985) Nonlinear Analysis, Theory, Methods & Applications , vol.9 , Issue.10 , pp. 1011-1035
    • Krishnaprasad, P.S.1
  • 25
    • 0023271591 scopus 로고
    • Hamiltonian Structures and Stability for Rigid Bodies with Flexible Attachments
    • Krishnaprasad, P. S., and Marsden, J. E., 1987, “Hamiltonian Structures and Stability for Rigid Bodies with Flexible Attachments,”Archive for Rational Mechanics and Analysis, Vol. 98, No. 1, pp. 71-93.
    • (1987) Archive for Rational Mechanics and Analysis , vol.98 , Issue.1 , pp. 71-93
    • Krishnaprasad, P.S.1    Marsden, J.E.2
  • 26
    • 33749903170 scopus 로고
    • Morse Theory for a Model Space Structure
    • Bowdoin College, Brunswick, ME, J. E. Marsden, P. S. Krishnaprasad, and J. C. Simo, eds., in the series Contemporary Mathematics, American Mathematical Society, Providence, RI
    • Levi, M., 1989, “Morse Theory for a Model Space Structure,”Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Control Theory and Multibody Systems, Bowdoin College, Brunswick, ME, J. E. Marsden, P. S. Krishnaprasad, and J. C. Simo, eds., in the series Contemporary Mathematics, Vol. 97, American Mathematical Society, Providence, RI, pp. 209-216.
    • (1989) Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Control Theory and Multibody Systems , vol.97 , pp. 209-216
    • Levi, M.1
  • 28
    • 0027855073 scopus 로고
    • Analytic Solution for a Spinning Rigid Body Subject to Time-Varying Body-Fixed Torque, Part I: Constant Axial Torque
    • Longuski, J. M., and Tsiotras, P., 1993a, “Analytic Solution for a Spinning Rigid Body Subject to Time-Varying Body-Fixed Torque, Part I: Constant Axial Torque,” ASME Journal of Applied Mechanics, Vol. 60, No. 4, pp. 970-975.
    • (1993) ASME Journal of Applied Mechanics , vol.60 , Issue.4 , pp. 970-975
    • Longuski, J.M.1    Tsiotras, P.2
  • 29
    • 0027813303 scopus 로고
    • Analytic Solution for a Spinning Rigid Body Subject to Time-Varying Body-Fixed Torque, Part II: Time-Varying Body-Fixed Torque
    • Longuski, J. M., and Tsiotras, P., 1993b, “Analytic Solution for a Spinning Rigid Body Subject to Time-Varying Body-Fixed Torque, Part II: Time-Varying Body-Fixed Torque,” ASME Journal of Applied Mechanics, Vol. 60, pp. 976-981.
    • (1993) ASME Journal of Applied Mechanics , vol.60 , pp. 976-981
    • Longuski, J.M.1    Tsiotras, P.2
  • 30
    • 0001834849 scopus 로고
    • On the Stability of the Center for Time-Periodic Perturbations
    • Melnikov, V. K., 1963, “On the Stability of the Center for Time-Periodic Perturbations,”Transactions of the Moscow Mathematical Society, Vol. 12, pp. 1-56.
    • (1963) Transactions of the Moscow Mathematical Society , vol.12 , pp. 1-56
    • Melnikov, V.K.1
  • 31
    • 0026121833 scopus 로고
    • Resonances in the Despin Dynamics of Dual-Spin Spacecraft
    • Or, A. C, 1991, “Resonances in the Despin Dynamics of Dual-Spin Spacecraft,”Journal of Guidance, Control, and Dynamics, Vol. 14, No. 2, pp. 321-329.
    • (1991) Journal of Guidance, Control, and Dynamics , vol.14 , Issue.2 , pp. 321-329
    • Or, A.C.1
  • 32
    • 0001293496 scopus 로고    scopus 로고
    • Chaotic Motions of a Dual-Spin Body
    • Or, A. C., 1998a, “Chaotic Motions of a Dual-Spin Body,” ASME Journal of Applied Mechanics, Vol. 65, pp. 150-156.
    • (1998) ASME Journal of Applied Mechanics , vol.65 , pp. 150-156
    • Or, A.C.1
  • 33
    • 0032075769 scopus 로고    scopus 로고
    • Dynamics of an Asymmetric Gyrostat
    • Or, A. C., 1998b, “Dynamics of an Asymmetric Gyrostat,”Journal of Guidance, Control, and Dynamics, Vol. 21, No. 3, pp. 416-420.
    • (1998) Journal of Guidance, Control, and Dynamics , vol.21 , Issue.3 , pp. 416-420
    • Or, A.C.1
  • 34
    • 0026185707 scopus 로고
    • Reorientation Maneuver for Spinning Spacecraft
    • Rahn, C. D., and Barba, P. M., 1991, “Reorientation Maneuver for Spinning Spacecraft,”Journal of Guidance, Control, and Dynamics, Vol. 14, No. 4, pp. 724-728.
    • (1991) Journal of Guidance, Control, and Dynamics , vol.14 , Issue.4 , pp. 724-728
    • Rahn, C.D.1    Barba, P.M.2
  • 35
    • 0024181208 scopus 로고
    • On the Relative Equilibria of a Satellite-Gyrostat, Their Branchings and Stability
    • Rubanovskii, V. N., 1988, “On the Relative Equilibria of a Satellite-Gyrostat, Their Branchings and Stability,”Journal of Applied Mathematics and Mechanics, Vol. 52, No. 6, pp. 710-714.
    • (1988) Journal of Applied Mathematics and Mechanics , vol.52 , Issue.6 , pp. 710-714
    • Rubanovskii, V.N.1
  • 36
    • 0030784699 scopus 로고    scopus 로고
    • Bifurcation of Self-Excited Rigid Bodies Subjected to Small Perturbation Torques
    • Tong, X., and Tabarrok, B., 1997, “Bifurcation of Self-Excited Rigid Bodies Subjected to Small Perturbation Torques,”Journal of Guidance, Control, and Dynamics, Vol. 20, No. 1, pp. 123-128.
    • (1997) Journal of Guidance, Control, and Dynamics , vol.20 , Issue.1 , pp. 123-128
    • Tong, X.1    Tabarrok, B.2
  • 37
    • 0001230374 scopus 로고
    • A Complex Analytic Solution for the Attitude Motion of a Near-Symmetric Rigid Body Under Body-Fixed Torques
    • Tsiotras, P., and Longuski, J. M., 1991, “A Complex Analytic Solution for the Attitude Motion of a Near-Symmetric Rigid Body Under Body-Fixed Torques,”Celestial Mechanics and Dynamical Astronomy, Vol. 51, No. 3, pp. 281-301.
    • (1991) Celestial Mechanics and Dynamical Astronomy , vol.51 , Issue.3 , pp. 281-301
    • Tsiotras, P.1    Longuski, J.M.2
  • 38
    • 0003003451 scopus 로고
    • Averaging in Systems of Ordinary Differential Equations
    • Volosov, V. M., 1962, “Averaging in Systems of Ordinary Differential Equations,”Russian Mathematical Surveys, Vol. 17, pp. 1-126.
    • (1962) Russian Mathematical Surveys , vol.17 , pp. 1-126
    • Volosov, V.M.1


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