First-Passage Time in a Random Vibrational System

@article{Gray1966FirstPassageTI,
  title={First-Passage Time in a Random Vibrational System},
  author={Augustine H. Gray},
  journal={Journal of Applied Mechanics},
  year={1966},
  volume={33},
  pages={187-191}
}
  • A. Gray
  • Published 1 March 1966
  • Mathematics
  • Journal of Applied Mechanics
20 Citations

Figures from this paper

Path Integral Methods for the Probabilistic Analysis of Nonlinear Systems Under a White-Noise Process
TLDR
The widely known path integral method, derived from the application of the Chapman–Kolmogorov equation, is described in details and discussed with reference to the main resul...
Title Response Spectra of Quasi-Stationary Random Excitations
One of the most important problems in the field of earthquake ngineering is to suppose reasonable arthquake excitation patterns for the dynamic analysis of structures. In particular, in the response
First-passage failure of MDOF nonlinear oscillator
First-passage failure of multiple-degree-of-freedom nonlinear oscillators with lightly nonlinear dampings and strongly nonlinear stiffness subject to additive and/or parametric Gaussian white noise
Energy Fluctuation Scale and Diffusion Models
The energy fluctuation scale, θE, of a narrow‐band Gaussian response is introduced. It is shown that E and associated bandwidth measures (e.g., 1/vOθE) are: (1) Simply related to both the spectral
...
1
2
...