Evaluation of motion of the Duffing equation from its general properties

Journal of Sound and Vibration

Volumn 264, Issue 2, 2003, Pages 491-497

  Chen, Y Z ^a  

^a JIANGSU UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BOUNDARY CONDITIONS; EQUATIONS OF MOTION; FOURIER TRANSFORMS; HARMONIC ANALYSIS; INITIAL VALUE PROBLEMS; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; PROBLEM SOLVING; THEOREM PROVING;

DUFFING EQUATION; HARMONIC MOTION; INITIAL BOUNDARY CONDITIONS;

VIBRATIONS (MECHANICAL);

EID: 0038481525     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(02)01495-5     Document Type: Letter

References (5)

1. A.H. Nayfeh, D.T. Mook, Nonlinear Oscillations, Wiley, New York, 1978.
2. A.H. Nayfeh, Introduction to Perturbation Techniques. Wiley, New York, 1981.
3. J.H. He, Approximate solution of nonlinear differential equations with convolution product nonlinearities, Computer Methods in Applied Mechanics and Engineering 167 (1998) 69-73.
4. J.H. He, A coupling method of a homotopy technique and a perturbation technique for non-linear problems. International Journal of Non-linear Mechanics 35 (2000) 37-43.
5. Y.Z. Chen, Solution of the Duffing equation by using target function method, Journal of Sound and Vibration 256 (2002) 573-578.