A Mathematica program for the approximate analytical solution to a nonlinear undamped Duffing equation by a new approximate approach

Published: 15-03-2006| Version 1 | DOI: 10.17632/s4s7gffj8s.1
Dongmei Wu,
Zhongcheng Wang


Abstract According to Mickens [R.E. Mickens, Comments on a Generalized Galerkin's method for non-linear oscillators, J. Sound Vib. 118 (1987) 563], the general HB (harmonic balance) method is an approximation to the convergent Fourier series representation of the periodic solution of a nonlinear oscillator and not an approximation to an expansion in terms of a small parameter. Consequently, for a nonlinear undamped Duffing equation with a driving force B cos ( ω x ) , to find a periodic solutio... Title of program: AnalyDuffing.nb Catalogue Id: ADWR_v1_0 Nature of problem To find an approximate solution with analytical expressions for the undamped nonlinear Duffing equation with periodic driving force when the fundamental frequency is identical to the driving force. Versions of this program held in the CPC repository in Mendeley Data ADWR_v1_0; AnalyDuffing.nb; 10.1016/j.cpc.2005.09.006 This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)