20 Citations
Path Integral Methods for the Probabilistic Analysis of Nonlinear Systems Under a White-Noise Process
- Mathematics
- 2020
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
- Mathematics
- 2018
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…
Ideal and physical barrier problems for non-linear systems driven by normal and Poissonian white noise via path integral method
- Mathematics
- 2016
Efficient solution of the first passage problem by Path Integration for normal and Poissonian white noise
- Mathematics
- 2015
First-passage failure of MDOF nonlinear oscillator
- Engineering
- 2011
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…
First-passage time probability of non-linear stochastic systems by generalized cell mapping method
- Mathematics
- 1988
Distribution of the first-passage time of mast antenna structures to non-stationary random excitation
- Mathematics
- 1986
Energy Fluctuation Scale and Diffusion Models
- Physics
- 1985
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…