This paper is a tutorial on Hilbert transform applications to mechanical vibration. The
approach is accessible to non-stationary and nonlinear vibration application in the time …

A powerful tool in computational stochastic mechanics is the stochastic finite element
method (SFEM). SFEM is an extension of the classical deterministic FE approach to the …

This paper presents a comprehensive study on developing advanced deep learning
approaches for nonlinear structural response modeling and prediction. Two schemes of the …

In conjunction with the formulation of random functions, a family of renewed spectral
representation schemes is proposed. The selected random function serves as a random …

To alleviate the consequential influences of earthquakes, many seismic performance
evaluation methods have been developed over the past century. Fragility assessment is an …

In this study, a new higher-order spectral representation method (HOSRM) is derived to
simulate fourth-order (kurtosis-order) non-Gaussian random processes. Applying the …

A novel harmonic wavelets based statistical linearization approach is proposed for
determining the evolutionary power spectrum (EPS) of the response of nonlinear oscillators …

Reliability analysis of buried pipelines subjected to spatiotemporal seismic involves
modeling multiple uncertainties related to loads, soil, and mechanical mechanisms. The …

Earthquakes frequently induce landslides and other natural disasters that would have a
huge impact on human life and properties. In geotechnical engineering, evaluation of the …

The present study proposes an integrated modeling method to simulate probabilistic-and
physic-informed representation of uncertainties in pipelines under fuzzy random …