A new perturbation method for oscillatory systems

Proceedings of the ASME Design Engineering Technical Conference

Volumn 5 C, Issue , 2003, Pages 2191-2199

  Mickens, Ronald E ^a  

^a CLARK ATLANTA UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; LINEARIZATION; ORDINARY DIFFERENTIAL EQUATIONS; PERTURBATION TECHNIQUES;

HARMONIC OSCILLATORS; OSCILLATORY SYSTEMS;

OSCILLATORS (MECHANICAL);

EID: 1842683848     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1115/detc2003/vib-48567     Document Type: Conference Paper

References (9)

1. Nayfeh, A. H., 1973, Perturbation Methods, John Wiley and Sons, New York.
2. Mickens, R. E., 1996, Oscillations in Planar Dynamic System, World Scienti£c, Singapore.
3. Mickens, R. E., 1985, "Construction of Approximate Analytical Solutions to a New Class of Nonlinear Oscillator Equation," Journal of Sound and Vibration, Vol. 102, pp. 579-582.
4. 4/3 Potential, Journal of Sound and Vibration, Vol. 246, pp. 375-378.
5. Mickens, R. E., 2003, "Analysis of Nonlinear Oscillations Having Non-polynomial Elastic Terms," Journal of Sound and Vibration, Vol. 255, pp. 789-792.
6. Kryloff, N., and Bogoliuboff, N., 1943, Introduction to Nonlinear Mechanics, Princeton University Press; Princeton, NJ.
7. Bellman, R., 1964, Perturbation Techniques in Mathematics, Physics and Engineering, Holt, Rinehart and Winston, New York.
8. α," Clark Atlanta University Report, Atlanta, GA.
9. Arnold, V. E., 1978, Mathematical Methods of Classical Mechanics, Springer-Verlag, New York.