Concepedia

A unified formalism of the GE-GDEE for generic continuous responses and first-passage reliability analysis of multi-dimensional nonlinear systems subjected to non-white-noise excitations

Meng‐Ze Lyu, Jianbing Chen

Structural Safety · 2022 · 83 citations · 47 references

Concepts

Natural SciencesComputational EngineeringMathematicsDynamical SystemsContinuous SystemsNonlinear DynamicsReliabilityReliability ModelingTime-domain ResponseFirst-passage ProblemsNonlinear Dynamic ResponseNonlinear SystemsNonlinear Transient ResponseSystem Reliability AssessmentWhite Noise Excitation

References

47

Brownian motion in a field of force and the diffusion model of chemical reactions

H. A. Kramers · Physica · 1940 · 8.6K citations

Natural Sciences, Chemistry, Physics +16

Mathematical Analysis of Random Noise

S. O. Rice · Bell System Technical Journal · 1944 · 5.5K citations

Natural Sciences, Mathematics, Physics +9

Method for Random Vibration of Hysteretic Systems

Yi‐Kwei Wen · Journal of the Engineering Mechanics Division · 1976 · 2.6K citations

Engineering, Computational Engineering, Mechanical Engineering +17

Estimation of small failure probabilities in high dimensions by subset simulation

Siu‐Kui Au, James L. Beck · Probabilistic Engineering Mechanics · 2001 · 2.4K citations

Business, Biostatistics, Probability Theory +15

Simulation of Stochastic Processes by Spectral Representation

Masanobu Shinozuka, George Deodatis · Applied Mechanics Reviews · 1991 · 1.3K citations

Engineering, Computational Engineering, Statistical Computing +16