Article citationsMore>>

Ho, C. and Lang, Z.-Q. (2014) Stephen A. Billings. A Frequency Domain Analysis of the Effects of Nonlinear Damping on the Duffing Equation. Mechanical Systems and Signal Processing, 45, 49-67. https://doi.org/10.1016/j.ymssp.2013.10.027

has been cited by the following article:

• TITLE: A New Method for the Exact Solution of Duffing Equation

  AUTHORS: Ossou Nazila Fred Nelson, Zheng Yu, Bambi Prince Dorian, Yuya Wang

  KEYWORDS: Duffing Equation, Exact Solution, Constant Variation Method

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.6 No.12, December 31, 2018

  ABSTRACT: A lot of methods, such as Jacobian elliptic function analysis, are used to look for the explicit exact solution of Duffing differential equation. The key of the analysis is to construct quotient trigonometric function, and then nonlinear algebraic equation set theory and method are used for the solution of some kinds of nonlinear Duffing differential equation. In this paper, the exact solution of Duffing equation is obtained by using constant variation method, making use of the formula to solve cubic equations and general solution of the homogeneous equation of Duffing equation with appropriate Constant m and function f(t) .