Multiobjective reliability-based design optimization of structural dynamical systems under stochastic excitation

DJ Jerez, HA Jensen, J Chen - Mechanical Systems and Signal Processing, 2024 - Elsevier
This contribution presents a framework to address multiobjective reliability-based design
optimization problems involving structural dynamical systems under stochastic excitation. In …

A Wiener path integral technique for determining the stochastic response of nonlinear oscillators with fractional derivative elements: A constrained variational …

Y Zhang, IA Kougioumtzoglou, F Kong - Probabilistic Engineering …, 2023 - Elsevier
A technique based on the concept of Wiener path integral (WPI) is developed for
determining approximately the joint response probability density function (PDF) of nonlinear …

[BOG][B] Path Integrals in Stochastic Engineering Dynamics

IA Kougioumtzoglou, AF Psaros, PD Spanos - 2024 - Springer
Ever-increasing computational capabilities, novel signal processing techniques, advanced
experimental setups, and progress in emerging and transformative technologies (eg, nano …

An approximate stochastic dynamics approach for design spectrum based response analysis of nonlinear structural systems with fractional derivative elements

IA Kougioumtzoglou, P Ni, IP Mitseas… - International Journal of …, 2022 - Elsevier
A novel approximate approach is developed for determining, in a computationally efficient
manner, the peak response of nonlinear structural systems with fractional derivative …

A Wiener path integral formalism for treating nonlinear systems with non-Markovian response processes

IG Mavromatis, AF Psaros… - Journal of Engineering …, 2023 - ascelibrary.org
A novel formalism of the Wiener path integral (WPI) technique for determining the stochastic
response of diverse dynamical systems is developed. It can be construed as a …

On the use of Directional Importance Sampling for reliability-based design and optimum design sensitivity of linear stochastic structures

DJ Jerez, HA Jensen, MA Valdebenito… - Probabilistic …, 2022 - Elsevier
This contribution focuses on reliability-based design and optimum design sensitivity of linear
dynamical structural systems subject to Gaussian excitation. Directional Importance …

A reduced-order Wiener path integral formalism for determining the stochastic response of nonlinear systems with fractional derivative elements

IG Mavromatis… - … -ASME Journal of …, 2023 - asmedigitalcollection.asme.org
A technique based on the Wiener path integral (WPI) is developed for determining the
stochastic response of diverse nonlinear systems with fractional derivative elements …

Nonstationary stochastic response of hysteretic systems endowed with fractional derivative elements

W Zhang, PD Spanos… - Journal of Applied …, 2023 - asmedigitalcollection.asme.org
In this paper, a computationally efficient approach is proposed for the determination of the
nonstationary response statistics of hysteretic oscillators endowed with fractional derivative …

Uncertainty quantification of nonlinear system stochastic response estimates based on the Wiener path integral technique: A Bayesian compressive sampling …

MI Katsidoniotaki, AF Psaros… - Probabilistic Engineering …, 2022 - Elsevier
The Wiener path integral (WPI) technique for determining the stochastic response of diverse
nonlinear systems is enhanced herein based on a Bayesian compressive sampling (CS) …

Stationary response determination of MDOF fractional nonlinear systems subjected to combined colored noise and periodic excitation

F Kong, H Zhang, Y Zhang, P Chao, W He - Communications in Nonlinear …, 2022 - Elsevier
A statistical linearization method is proposed for determining the response moment of multi-
degree-of-freedom (MDOF) nonlinear systems, endowed with fractional elements and …