Analytical Solutions for Autonomous Conservative Nonlinear Oscillator
Makaleler > Tam Makale · 2010
Yazarlar: Mohammad Kalami YAZDI, Yasir KHAN, M. MADANI, H. ASKARI, Z. SAADATNIA, Ahmet YILDIRIM
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, SCI Expanded İndekslerine Giren Dergi, Uluslararası, 2010, cilt 11, ss 979-984
DOI: 10.1515/ijnsns.2010.11.11.979
Özet
This paper adapts the Energy Balance Method (EBM) and Frequency Amplitude Formulation to solve the free vibrations of a conservative oscillator with inertia and static cubic non-linearities. Case studies on the effects of the time response are presented. The results that obtained from the EBM and FAF are then compared with those from the numerical solution in order to verify the accuracy of the proposed method.