Analysis of A Forced Strongly Non-Linear Two-Degree-of-Freedom System By Means of The Power Series Method

Journal Title, Volume, Page:

Journal of Sound And Vibration Volume 241, Issue 4, 5 April 2001, Pages 635-642

Year of Publication:

2001

Link:

http://www.sciencedirect.com/science/article/pii/S0022460X00933121

Authors:

M. I. Qaisi

Mechanical Engineering Department, Jordan University, Amman, Jordan

M. Abu-Hilal

Department of Mechanical and Industrial Engineering, Applied Sciences University, Amman, 11931, Jordan

Current Affiliation:

Department of Mechanical Engineering, Faculty of Engineering, An-Najah National University, P.O. Box 7, Nablus, West Bank, Palestine

[email protected]

Preferred Abstract (Original):

A power-series solution is presented for the periodic motion of an undamped strongly non-linear two-degree-of-freedom system excited by harmonic forces. The analysis is facilitated by transforming the time variable into an harmonically oscillating time. The frequency of the new time variable is determined by observing the equality between the rate of change of dynamical energy and the power delivered by the forces. The results show good agreement with the modified Lindstedt–Poincaré method and the incremental harmonic balance method.

Attachment	Size
Analysis_of_A_Forced_Strongly_Non-Linear_Two-Degree-of-Freedom_System_By_Means_of_The_Power_Series_Method.pdf	241.53 KB

An-Najah Staff

Author Information

Analysis of A Forced Strongly Non-Linear Two-Degree-of-Freedom System By Means of The Power Series Method