OPTIMIZATION OF NON-PERIODIC INSPECTION OF STRUCTURAL COMPONENTS BY BAYESIAN APPROACH

1. Non-periodic inspection schedule using probabilistic method

1.1. System

1.2. Specific number

1.3. Cracks and failures

1.4. Detected during inspections

2. Bayesian method for uncertain parameters

2.1. Equations

2.2. Uncertain

2.3. Modified

2.4. Inspection result.

3. Reliability computation

3.1. Inspection interval

3.2. Element of the system

3.3. Time interval [Tj, Tj+1]

3.4. TJ. j-th inspection

4. Determination of reliability and next inspection interval

4.1. Determined by an integral

4.2. Space variable

4.3. Density function

4.4. Uncertain parameters β, c and d.

4.5. Time determination

5. Conditional probabilities

5.1. Determined

5.2. Possible events

5.3. Historical information

5.4. Bayesian analysis method