Abstract
A strongly cubic nonlinear forced vibration system with single degree of freedom is investigated by means of homotopy analysis method(HAM).Different from other approximate computational method,the HAM is totally independent of small physical parameters,and thus is suitable for most nonlinear problems.The HAM provides us with a great freedom to choose base functions of solution series,so that a nonlinear problem may be approximated more effectively.The HAM adjusts and controls progression solution convergence region and the convergence rate through the introduction of auxiliary parameters and auxiliary functions.Therefore it opens up a new approach to the solution of analytical approximation of non-linear problems,and is especially suitable for strong non-linear problems.The computation results indicate that this method can not only solve the steady state solution but also calculate the unsteady state solution,and has good computational accuracy.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.