A new analytical technique to find periodic solutions of non-linear systems

作者：Alam M Shamsul; Haque Emdadul; Hossain Bellal

来源：International Journal of Non-Linear Mechanics, 2007, 42(8): 1035-1045.

DOI：10.1016/j.ijnonlinmec.2007.05.007

• harmonic balance
• periodic solution
• asymptotic solution

Based on the classical harmonic balance method a new technique is presented to determine higher approximate periodic solutions of the non-linear differential equations. The new method is systematic and simple. The solution covers the general initial value problem (i.e., for [x(0) =a(0), x(0)=b(0)]) while the existing solution is determined for a particular case, especially for [x(0)=a(0), (0)=0]. The solution is easily transformed to perturbation solution. The method is used in various non-linear problems possessing second and more than second derivatives.

• 出版日期2007-10