Abstract: The paper addresses the representation and simulation of random fields using wavelet bases. The probabilistic description of the wavelet coefficients involved in the representation of the random ...

Abstract: The Random Decrement method used in system identification for analysis of random vibration data is considered from a rigorous mathematical perspective. It is shown that the Random Decrement ...

Abstract: Several traditional methods for discretizing random fields in stochastic mechanics applications are considered; they are the midpoint method, the interpolation method, and the local averaging method. ...

Abstract: This technical note considers a class of models that describe dynamic systems with frequency-dependent parameters or fractional derivatives. These concepts are elucidated by introducing abstract state-space representations ...

Abstract: The paper discusses a spectral method for identification of nonlinear systems encountered in structural applications. The nonlinearity is accounted for by a combination of linear subsystems and known zero-memory nonlinear ...

Abstract: This technical note points out that caution must be exercised in conducting time-domain and random-vibration analyses of noncausal systems with frequency-dependent parameters and hysteretic damping. It warns against ...

Abstract: A numerical method for solving stochastic mechanics problems by representing the solution using a small number of random parameters is presented. In essence, the method is a Galerkin approximation in the sample space. The ...

Abstract: A review of a number of methods for random fields simulation in conjunction with Monte Carlo studies of probabilistic mechanics problems is presented from a broad perspective. This article ...