Ibrahim, R. A., 1978, “Parametric Vibration-Part III: Current Problems (1),” Shock Vib. Dig., 10 (3), pp. 41–57.

[CrossRef]Ibrahim, R. A., 1978, “Parametric Vibration-Part III: Current Problems (2),” Shock Vib. Dig., 10 (4), pp. 19–47.

[CrossRef]Bolotin, V. V., 1964, "*Dynamic Stability of Elastic Systems*", Holden-Day, San Francisco, CA.

Yakubovitch, V. A., and Starzhinskii, V. M., 1975, "*Linear Differential Equations With Periodic Coefficients*", Vols. 1 and 2, Wiley, New York.

Nayfeh, A. H., and Mook, D. T., 1979, "*Nonlinear Oscillations*", Wiley, New York.

Hsu, C. S., 1974, “On Approximating A General Linear Periodic System,” J. Math. Anal. Appl., 45 (1), pp. 234–251.

[CrossRef]Farhang, K., and Midha, A., 1995, “Steady-State Response of Periodically Time-Varying Linear Systems With Application to an Elastic Mechanism,” ASME J. Mech. Des., 117 , pp. 633–639.

[CrossRef]Wu, W. -T., Wickert, J. A., and Griffin, J. H., 1995, “Modal Analysis of the Steady State Response of a Driven Periodic Linear System,” J. Sound Vib., 183 (2), pp. 297–308.

[CrossRef]Deltombe, R., Moraux, D., Plessis, G., and Level, P., 2000, “Forced Response of Structural Dynamic Systems With Local Time-Dependent Stiffnesses,” J. Sound Vib., 237 (5), pp. 761–773.

[CrossRef]Pandey, M., Rand, R. H., and Zehnder, A. T., 2008, “Frequency Locking in a Forced Mathieu-Van Der Pol-Duffing System,” Nonlinear Dyn., 54 , pp. 3–12.

[CrossRef]Irretier, H., 1999, “Mathematical Foundations of Experimental Modal Analysis in Rotor,” Mech. Syst. Signal Process., 13 (2), pp. 183–191.

[CrossRef]Lee, C. W., and Kwon, K. S., 2001, “Identification of Rotating Asymmetry in Rotating Machines by Using Reverse Directional Frequency Response Functions,” Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 215 , pp. 1053–1063.

[CrossRef]Prothmann, T., 2003, “Estimation of Partial Frequency Response Functions of Periodic Time-Variant Systems Under Broadband Excitation,” Proc. Appl. Math. Mech., 3 , pp. 336–337.

[CrossRef]Joh, C. Y., and Lee, C. W., 1996, “Use of DFRFs for Diagnosis of Asymmetric/Anisotropic Properties in Rotor-Bearing System,” ASME J. Vibr. Acoust., 118 , pp. 64–69.

[CrossRef]Han, D. J., 2007, “Vibration Analysis of Periodically Time-Varying Rotor System With Transverse Crack,” Mech. Syst. Signal Process., 21 , pp. 2857–2879.

[CrossRef]Wang, J. J., Gao, X. B., and Li, Q. H., 2003, “Some Characteristics of Nonlinear Response for Single-Degree-of-Freedom of Parametric Vibration System,” Chinese Journal of Applied Mechanics, 20 , pp. 147–151 (in Chinese).

Han, Q. K., Wang, J. J., Gao, X. B., and Li, Q. H., 2006, “Characteristics of Frequency-Domain Response for the Parametric Vibration of Spur Gear Pair System,” "*Proceedings of the International Conference on Mechanical Transmission (ICMT)*", D.T.Qin, ed., Science, Chongqing, China, pp. 1256–1261.

Huang, D. S., and Tong, Z. F., 1993, “Study on Parametric Torsional Behaviour of a Rotor With a Cross Sectional Crack,” Journal of China Textile University, 19 (5), pp. 42–47.

Deolasi, P. J., and Datta, P. K., 1997, “Experiments on the Parametric Vibration Response of Plates Under Tensile Loading,” Exp. Mech., 37 (1), pp. 56–61.

[CrossRef]Insperger, T., Stepan, G., Bayly, P. V., and Mann, B. P., 2003, “Multiple Chatter Frequencies in Milling Processes,” J. Sound Vib., 262 , pp. 333–345.

[CrossRef]Pellicano, F., Catellani, G., and Fregolent, A., 2004, “Parametric Instability of Belts: Theory and Experiments,” Comput. Struct., 82 , pp. 81–91.

[CrossRef]Pipes, L. A., 1958, "*Applied Mathematics for Scientists and Engineers*", 2nd ed., McGraw-Hill, New York.

Barbashin, E. A., 1970, "*Introduction to the Theory of Stability*", Wolters-Noordhoff, Netherlands.

Richards, J. A., 1983, "*Analysis of Periodically Time-Varying Systems*", Springer-Verlag, New York.

Johnson, W., 1980, "*Helicopter Theory*", Princeton University Press, New York.

Han, Q. K., Wang, J. J., and Li, Q. H., 2009, “Theoretical Analysis of the Natural Frequency of a Geared System Under the Influence of a Variable Mesh Stiffness,” Proc. Inst. Mech. Eng., Part D (J. Automob. Eng.), 223 (D2), pp. 221–231.

[CrossRef]Sinha, S. C., Pandiyan, R., and Bibb, J. S., 1996, “Liapunov–Floquet Transformation: Computation and Applications to Periodic Systems,” ASME J. Vibr. Acoust., 118 , pp. 209–219.

[CrossRef]Wang, J. J., Li, R. F., and Peng, X. H., 2003, “Survey of Nonlinear Vibration of Gear Transmission Systems,” Appl. Mech. Rev., 56 , pp. 309–329.

[CrossRef]Li, R. F., and Wang, J. J., 1997, "*Geared System Dynamic: Vibration, Shock and Noise*", Science, Beijing, in Chinese.

Ozguven, H. N., and Houser, D. R., 1988, “Mathematical Models Used in Gear Dynamics—A Review,” J. Sound Vib., 121 , pp. 383–411.

[CrossRef]KahramanA., and Blankenship, G. W., 1999, “Effect of Involute Contact Ratio on Spur Gear Dynamics,” ASME J. Mech. Des., 121 , pp. 112–118.

[CrossRef]