A review of theoretical concepts and diverse applications of sparse representations and
compressive sampling (CS) approaches in engineering mechanics problems is provided …

In this paper, 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 …

The sensitivity analysis of hysteretic systems under nonstationary random excitations is of
great concern to the stochastic optimal design and control of structures. The equivalent …

Dynamic reliability evaluation of large-scale reinforced concrete (RC) structures is one of the
most challenging problems in engineering practices. Although extensive endeavors have …

The recent success of the radial basis function neural networks (RBFNN) method for random
vibration analysis of smooth systems fuels in speculations that this approach may be …

A methodology based on the Wiener path integral technique (WPI) is developed for
stochastic response determination and optimization of a class of nonlinear …

A Galerkin scheme-based approach is developed for determining the survival probability
and first-passage probability of a randomly excited hysteretic systems endowed with …

Ever-increasing computational capabilities, novel signal processing techniques, advanced
experimental setups, and progress in emerging and transformative technologies (eg, nano …

Abstract The recently developed Wiener Path Integral (WPI) technique for determining the
joint response probability density function of nonlinear systems subject to Gaussian white …

The reliability analysis of high-dimensional stochastic dynamical systems subjected to
random excitations has long been one of the major challenges in civil and various …