Some Engineering Applications in Random Vibrations and Random Structures

Abstract

The Deterministic Single-Degree-of-Freedom System The Deterministic Multi-Degree-of-Freedom System The Deterministic Continuous System Random Functions and Excitation Response of Linear Systems to Stationary Random Excitations Nonlinear Single-Degree-of-Freedom Oscillators Statistical Linearization Method Nondeterministic Structures - Basic Concepts Calculation of the Probability of Failure Taylor Series Expansions of Failure Functions Direct Calculation of Probabilities of Failure Using an Existing Finite Element Programme Probability of Failure of Dynamic Systems Stochastic Crack Growth Models Concluding Remarks. Appendices: Some Important Integrals Conversion Between Acoustic dB and PSD Finite Element Input Files for MJPDF Method.

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