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Reliability Analysis of Dynamic Systems by Bin Wu

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Chapter 2

Technical Background

This chapter presents the technical background of the structural reliability issues and three methods of reliability analysis. The problems of applying these methods to dynamic systems are also discussed in detail. The solution, a modal perturbation-based combined approach, is then proposed.

2.1 Definition of Structural Reliability

There are always safety requirements for real-life engineering structures that must be satisfied. As discussed in the example in Chapter 1, a structural reliability problem can be described by the load effect S and the resistance R of a structural element. Both variables should be expressed in the same units and represented by a known probability density function (shown in Figure 1.2 ...

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