Analysis of piecewise linear systems with boundaries in displacement and time

Journal of Vibration and Acoustics, Transactions of the ASME

Volumn 124, Issue 4, 2002, Pages 527-536

  Nakai, Mikio ^a   Murata, Shinji ^b   Hagio, Seiji ^c  

^a KYOTO UNIVERSITY   (Japan)

^b Japan Electric Power Information Center Inc   (Japan)

^c Kawasaki Heavy Industry Ltd   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

GEARS; MATRIX ALGEBRA; NUMERICAL ANALYSIS; NUMERICAL METHODS; PIECEWISE LINEAR TECHNIQUES;

BRENT METHOD; GEAR MESHING SYSTEM; STATE VARIABLES;

VIBRATIONS (MECHANICAL);

EID: 0036775833     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.1502668     Document Type: Article

References (10)

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2. Komuro, M., 1988, “Normal Forms of Continuous Piecewise Linear Vector Fields and Chaotic Attractors Part I: Linear Vector Fields with a Section,” Japan Journal of Applied Mathematics, 5(2), pp. 257-304.
3. Komuro, M., 1988, “Normal Forms of Continuous Piecewise Linear Vector Fields and Chaotic Attractors Part II: Chaotic Attractors,” Japan Journal of Applied Mathematics, 5(3), pp. 503-549.
4. Blankenship, G. W., and Kahraman, A., 1995, “Steady State Forced Response of a Mechanical Oscillator With Combined Parametric Excitation and Clearance Type Non-linearity,” J. Sound Vib., 185(5), pp. 743-765.
5. Kahraman, A., and Blankenship, G. W., 1996, “Interactions Between Commensurate Parametric and Forcing Excitations in a System with Clearance,” J. Sound Vib., 194(3), pp. 317-336.
6. Padmanabhan, C., and Singh, R., 1996, “Analysis of Periodically Forced Nonlinear Hill’s Oscillator with Application to a Geared System,” J. Acoust. Soc. Am., 99(1), pp. 324-334.
7. Shaw, S. W., and Holmes, P. J., 1983, “A Periodically Forced Piecewise Linear Oscillator,” J. Sound Vib., 90(1), pp. 129-155.
8. Kuroda, M., Nakai, M., Hikawa, T., and Matsuki, Y., 1996, “Bifurcations of Higher Subharmonics and Chaos in a Forced Vibratory System with an Asymmetric Restoring Force,” JSME Int. J., Ser C, 39(4), pp. 753-766.
9. Sato, K., Yamamoto, S., and Fujishiro, S., 1988, “Dynamical Distinctive Phenomena in a Gear System (Bifurcation Sets of Periodic Solutions and Chaotically Transitional Phenomena),” Trans. Jpn. Soc. Mech. Eng., Ser. C, 54(507), pp. 2735-2740.
10. More, J. J., and Cosnard, M. Y., 1979, “Numerical Solution of Nonlinear Equations,” ACM Trans. Math. Softw., 5(1), pp. 64-85.