Academic
Publications
Random superharmonic and subharmonic response: Multiple time scaling of a duffing oscillator

Random superharmonic and subharmonic response: Multiple time scaling of a duffing oscillator,10.1016/0022-460X(88)90235-0,Journal of Sound and Vibrati

Random superharmonic and subharmonic response: Multiple time scaling of a duffing oscillator   (Citations: 11)
BibTex | RIS | RefWorks Download
Narrowband random third order superharmonic and one third order subharmonic response of a Duffing oscillator is discussed. A multiple time scale approach is used. The work is a more rigorous approach than that already published on random superharmonic response by the authors, and the results obtained corroborate the previous ones. In particular, random jumps in amplitude can occur, but are less likely to occur as the bandwidth of the excitation is increased. The results are further corroborated by comparison with digital simulation. In addition, new results on random subharmonic response are also presented, obtained by using the same approach.
Journal: Journal of Sound and Vibration - J SOUND VIB , vol. 126, no. 2, pp. 195-208, 1988
Cumulative Annual
View Publication
The following links allow you to view full publications. These links are maintained by other sources not affiliated with Microsoft Academic Search.
    • ...Note that the existence of the 1/3 subharmonic response under narrowband excitation was also observed in simulations conducted in previous studies Davies and Nandall 1986; Davies and Rajan 1988; Rajan and Davies 1988; Davies and Liu 1990; Francescutto 1991 when an extremely small excitation bandwidth parameter and special system initial conditions are employed...

    Dongjun Yuket al. Global and Local Nonlinear System Responses under Narrowband Random Ex...

    • ...Similar results were obtained using many different approaches, such as, averaging method (Roberts & Spanos 1986; Davies &Rajan 1988; Davies & Liu 1990, 1992), stochastic linearization (Dimentberg 1971; Iyengar 1989; Roberts & Spanos 1990; Roberts 1991), probabilistic linearization technique (Iyengar 1992), numerical simulation (Davies & Rajah 1988; Iyengar 1989, 1992; Davies & Liu 1990, 1992), and experimental ...

    R A Ibrahimet al. Random excitation of nonlinear elastic structures with internal resona...

Sort by: