Identification of the dynamic characteristics of nonlinear structures

Shaw, S. W.
“The Dynamics of a Harmonically Excited System Having
Rigid Amplitude Constraints”
Journal of Applied Mechanics 52, 1985 (part 2)
Minorsky, N.
“Nonlinear Oscillations”.
Huntington, New York: Krieger Publishing, 1962.
Maezawa, S.
“Steady Forced Vibrations of Unsymmetrical Piecewise Linear Systems”
Bulletin of Japanese Society of Mechanical Engineering 
Moon, F. C.
“Chaotic 
Vibrations”
John Wiley Sons, 1987.
Wolf, A.
“Quantifying Chaos with Lyaponov Exponents”, 
Nonlinear Science: Theory
and Application. Ed. A. V. 
Manchester University Press, 1984.
Lin, R. M.
“nonlinear Coupling Analysis Based on a Describing Function Method”
Internal Report No. 88030, Dynamics Section, 
Eng. Dept.,
Imperial College of Science, Technology and Medicine, London.
Rosenberg, R. and Kuo, J.
“Nonsimilar Normal Mode Vibration of Nonlinear Systems Having
Two Degrees of Freedom”
J. Appl. 
1964
Rosenberg, R.
“On Nonlinear Vibration of Systems with Many Degrees of Freedom”
Adv. Appl. 
1966
Rand, R.
“Nonlinear Normal Modes in Two-Degree-of-Freedom Systems”
J. Appl. 
1971

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References
2 7 6
Vakakis, A. and Caughey, T.
“Some Topics in the Free and Forced Oscillations of a Class of
Nonlinear Systems”
Dynamics Laboratory Report 
1, 
Pasadena, California
H e ,
 of 
 Dynamic Characteristics”
Ph.D Thesis, 1987, Mechanical Engineering Department,
Imperial College of Science, Technology and Medicine, London.