Principal resonance responses of SDOF systems with small fractional derivative damping under narrow-band random parametric excitation

• Published in: Communications in nonlinear science & numerical simulation Vol. 19; no. 10; pp. 3642 - 3652
• Main Authors: Liu, Di, Li, Jing, Xu, Yong
• Format: Journal Article
• Language: English
• Published: Elsevier B.V 01.10.2014
• Subjects: Amplitudes; Damping; Derivatives; Excitation; Fractional derivative damping; Mathematical models; Multiple scale method; Narrow-band noise; Nonlinearity; Random excitation; SDOF nonlinear systems; Stochasticity; Fractional derivative damping; SDOF nonlinear systems; Narrow-band noise; Multiple scale method

•The SDOF systems with fractional damping and the narrow-band random excitations.•Multiple scale method is developed to obtain the principal resonance responses.•Effects of the stability of trivial and non-trivial steady-state responses are discussed.•The stochastic jump is investigated for principa...