Abstract: Non-Gaussian processes beset many aspects of structural engineering analysis. To estimate non-Gaussian processes, various third-order Hermite polynomial models have been proposed and widely applied. Different forms of ...

Abstract: By taking the advantage of Poisson events, the outcrossing method has been widely applied for time-dependent reliability analysis considering continuous processes. Generally, the outcrossing method can only obtain an upper ...

Abstract: In recent decades, the outcrossing rate method has gained popularity for structural time-dependent reliability assessments (TRA). Despite numerous efforts, developing a general analytical outcrossing rate method for a ...

Abstract: In determining structural responses under random excitation using the Monte Carlo method, simulation of non-Gaussian processes is always a challenge. Various methods have been developed to simulate non-Gaussian processes ...

Abstract: The usual approach to time-variant reliability problems is PHI2 method, which defines the outcrossing rate as a two-component parallel system problem and calculates it through a two-dimensional numerical integration. To ...