TY - GEN
T1 - Amplitudes decay in the nonlinear oscillators of mixed linear and cubic stiffness components
AU - Al-Shudeifat, Mohammad A.
AU - Burton, Thomas D.
N1 - Publisher Copyright:
Copyright © 2014 by ASME.
PY - 2014
Y1 - 2014
N2 - New formulas for obtaining the accurate amplitudes decay of the energy, velocity and displacement in the Duffing oscillator of odd-power stiffness components are derived here. The derivation is based on the new transformation proposed recently in the literature. These new formulas are found to be highly accurate in locating the decay envelopes of the energy, velocity and displacement regardless of the system physical parameters and the initial condition. In addition, the formulas are also found to be applicable to the damped double-well Duffing oscillator as long as the oscillation simultaneously occurs between the two stable equilibrium positions.
AB - New formulas for obtaining the accurate amplitudes decay of the energy, velocity and displacement in the Duffing oscillator of odd-power stiffness components are derived here. The derivation is based on the new transformation proposed recently in the literature. These new formulas are found to be highly accurate in locating the decay envelopes of the energy, velocity and displacement regardless of the system physical parameters and the initial condition. In addition, the formulas are also found to be applicable to the damped double-well Duffing oscillator as long as the oscillation simultaneously occurs between the two stable equilibrium positions.
UR - http://www.scopus.com/inward/record.url?scp=84926512689&partnerID=8YFLogxK
U2 - 10.1115/IMECE2014-39950
DO - 10.1115/IMECE2014-39950
M3 - Conference contribution
AN - SCOPUS:84926512689
T3 - ASME International Mechanical Engineering Congress and Exposition, Proceedings (IMECE)
BT - Dynamics, Vibration, and Control
T2 - ASME 2014 International Mechanical Engineering Congress and Exposition, IMECE 2014
Y2 - 14 November 2014 through 20 November 2014
ER -