Random Vibrations: Analysis of Structural and Mechanical Systems

By L. Lutes, Shahram Sarkani. 2003

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Time-Dependent Mechanism Reliability Analysis With Envelope Functions and First-Order Approximation (2014, methodology): “There are two basic types of methods for time-dependent reliability: extreme value methods [31-35] and first-passage methods [30, 33, 36-42].”
Fatigue predictions in entire body of metallic structures from a limited number of vibration sensors using Kalman filtering (2011, methodology): “For linear systems excited by timevarying loads that can be modeled by stationary stochastic processes, these power spectral densities can be straightforwardly computed using available random vibration results [3].”
A stochastic ground motion model with separable temporal and spectral nonstationarities (2008, background): “It is well known [31] that for such a process (0+, t)= √ 1− y ẏ(t) 2 ẏ(t) y(t) (14)”
Advances of the probability density evolution method for nonlinear stochastic systems (2012, unknown): “[8–10].”
Probability density evolution analysis of engineering structures via cubature points (2012, background): “Although one finds that various methods in these two branches could do well in the analysis of linear structures involving randomness [29], it is still difficult to capture the probabilistic information of general multi-degree-of-freedom (MDOF) nonlinear structures [44].”