Analytical Solution to Determine Displacement of Nonlinear Oscillations with Parametric Excitation by Differential Transformation Method

Mathematical and Computational Applications

Fereidoon, A.¹ 

关键词: Differential Transformation Method (DTM);    Numerical Solution (NS);    Runge-Kutta;    Sub-harmonic;    Nonlinear oscillations;    parametric excitation;   

DOI  :  10.3390/mca15050810

学科分类：计算数学

来源: mdpi

【 摘 要 】

In this study, sub-harmonic displacement of nonlinear oscillations with parametric excitation is solved using a simulation method called the Differential Transformation Method (DTM). We employed this method to derive solutions of nonlinear oscillations with parametric excitation equation. Also Runge-Kutta as numerical method is exerted to this equation too. The obtained results from DTM are compared with those from the numerical solution to verify the accuracy of the proposed method. The results specify that the technique introduced here is accurate and achieve suitable results in predicting the solution of such problems.

【 授权许可】

CC BY