Two-mode interaction of a beam with a nonlinear boundary condition

Journal of Vibration and Acoustics, Transactions of the ASME

Volumn 121, Issue 1, 1999, Pages 84-88

  Lee, Won Kyoung ^a   Yeo, Myeong Hwan ^b  

^a Yeungnam University   (South Korea)

^b Product Engineering 1   (South Korea)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; BOUNDARY VALUE PROBLEMS; FINITE DIFFERENCE METHOD; MATHEMATICAL TRANSFORMATIONS; MODAL ANALYSIS; NATURAL FREQUENCIES; ORDINARY DIFFERENTIAL EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING; RESONANCE; SYSTEM STABILITY;

HARMONIC EXCITATION; MODAL INTERACTIONS; SUBHARMONIC RESONANCE;

BEAMS AND GIRDERS;

EID: 0032777953     PISSN: 10489002     EISSN: 15288927     Source Type: Journal    
DOI: 10.1115/1.2893952     Document Type: Article

References (7)

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2. Lee, W. K., and Kim, C. H., 1995, “Combination Resonances of a Circular Plate with Three-Mode Interaction,” ASME Journal of Applied Mechanics, Vol. 62, pp. 1015-1022.
3. Lee, W. K., and Park, H. D., 1997, “Chaotic Dynamics, of a Harmonically Excited Spring-Pendulum System with Internal Resonance,” Nonlinear Dynamics, Vol. 14, pp. 211-229.
4. Nayfeh, A. H., 1981, Introduction to Perturbations Techniques, New York, Wiley-Interscience.
5. Nayfeh, A. H., and Asfar, K. R., 1986, “Response of a Bar Constrained by a Non-Linear Spring to a Harmonic Excitation,” Journal of Sound and Vibration, Vol. 105, pp. 1-15.
6. Nayfeh, A. H., Nayfeh, J. F., and Mook, D. T., 1992, “On Methods for Continuous Systems with Quadratic and Cubic Nonlinearities,” Nonlinear Dynamics, Vol. 3, pp. 145-162.
7. Watanabe, T., 1978, “Forced Vibration of Continuous System with Nonlinear Boundary Conditions,” ASME Journal of Mechanical Design, Vol. 100, pp. 487-491.