Affiliation:
1. Department of Mathematics, Jilin University, Changchun 130012, P. R. China
Abstract
This paper deals with nonlinear oscillation of a general single-degree-of-freedom system. By combining the linearization of the governing equation with the method of harmonic balance, we establish two analytical approximate formulas for the period. These two formulas are valid for small as well as large amplitudes of oscillation.
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference5 articles.
1. Nayfeh, A. H., 1993, Introduction to Perturbation Techniques, John Wiley and Sons, New York.
2. Mickens, R. E., 1996, Oscillations in Planar Dynamic Systems, World Scientific, Singapore.
3. Delamotte, B.
, 1993, “Nonperterbative Method for Solving Differential Equations and Finding Limit Cycles,” Phys. Rev. Lett., 70, pp. 3361–3364.
4. Agrwal, V. P., and Denman, H., 1985, “Weighted Linearization Technique for Period Approximation in Large Amplitude Nonlinear Oscillations,” J. Sound Vib., 99, pp. 463–473.
5. Liao, S. J., and Chwang, A. T., 1998, “Application of Homotopy Analysis Method in Nonlinear Oscillations,” ASME J. Appl. Mech., 65, pp. 914–922.
Cited by
14 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献