Stochastic response determination of nonlinear oscillators with fractional derivatives elements via the Wiener path integral

A Di Matteo, IA Kougioumtzoglou, A Pirrotta… - Probabilistic …, 2014 - Elsevier
A novel approximate analytical technique for determining the non-stationary response
probability density function (PDF) of randomly excited linear and nonlinear oscillators …

Modeling response spectrum compatible pulse-like ground motion

G Chen, M Beer, Y Liu - Mechanical Systems and Signal Processing, 2022 - Elsevier
The seismic response analysis of near-fault pulse-like ground motions is severely restricted
due to the scarcity of pulse-like records. The requirement in regulations that the response …

A stochastic harmonic function representation for non-stationary stochastic processes

J Chen, F Kong, Y Peng - Mechanical Systems and Signal Processing, 2017 - Elsevier
The time-domain representation of non-stationary stochastic processes is of paramount
importance, in particular for response analysis and reliability evaluation of nonlinear …

[HTML][HTML] Wavelet-based generation of fully non-stationary random processes with application to seismic ground motions

F Genovese, A Palmeri - Mechanical Systems and Signal Processing, 2025 - Elsevier
Assessing the performance of earthquake-resistant structural and geotechnical systems is
crucial for achieving a desired reliability level and enhancing the resilience of the built …

Nonstationary stochastic response determination of nonlinear oscillators endowed with fractional derivatives

PD Spanos, W Zhang - International Journal of Non-Linear Mechanics, 2022 - Elsevier
Fractional calculus has been broadly used in diverse engineering applications. In this
regard, vibrations of fractional oscillators subject to stochastic loads have attracted …

Simulation of multivariate nonstationary random processes: Hybrid stochastic wave and proper orthogonal decomposition approach

L Peng, G Huang, X Chen, A Kareem - Journal of Engineering …, 2017 - ascelibrary.org
The classical spectral representation method for simulation of multivariate nonstationary
Gaussian random processes may be less efficient due to difficulty in a straightforward …

Nonstationary stochastic response determination of nonlinear systems: A Wiener path integral formalism

IA Kougioumtzoglou, PD Spanos - Journal of Engineering …, 2014 - ascelibrary.org
A novel approximate analytical technique is developed for determining the nonstationary
response probability density function (PDF) of randomly excited nonlinear multidegree-of …

Response and first-passage statistics of nonlinear oscillators via a numerical path integral approach

IA Kougioumtzoglou, PD Spanos - Journal of Engineering …, 2013 - ascelibrary.org
A numerical path integral solution approach is developed for determining the response and
first-passage probability density functions (PDFs) of nonlinear oscillators subject to …

Stochastic dynamic response analysis and reliability assessment of non-linear structures under fully non-stationary ground motions

J Xu, DC Feng - Structural Safety, 2019 - Elsevier
In this paper, stochastic dynamic response analysis and reliability assessment of nonlinear
structures under fully non-stationary ground motions is investigated based on the probability …

Nonlinear vibrations of beams and plates with fractional derivative elements subject to combined harmonic and random excitations

PD Spanos, G Malara - Probabilistic Engineering Mechanics, 2020 - Elsevier
This paper proposes an efficient approach for estimating reliably the second order statistics
of the response of continua excited by combinations of harmonic and random loads. The …