- Preface
- Introduction to Reliability in Mechanical Design
- Fundamental Reliability Mathematics
- Introduction
- Experiment, Outcome, Sample Space, and Event
- Set Theory
- Definition of Probability
- Some Basic Operations of Probability
- Random Variable
- Mean, Standard Deviation, and Coefficient of Variance
- Histogram
- Probability Functions
- Mean of a Random Variable
- Standard Deviation and Coefficient of Variance
- Some Typical Probability Distributions
- Goodness-of-Fit Test: 2 Test
- References
- Exercises (1/3)
- Exercises (2/3)
- Exercises (3/3)
- Computational Methods for the Reliability of a Component
- Introduction
- Limit State Function
- Reliability of a Component with Two Random Variables
- Reliability Index
- The First-Order Second-Moment (FOSM) Method
- The Hasofer–Lind (H-L) Method (1/2)
- The Hasofer–Lind (H-L) Method (2/2)
- The Rackwitz and Fiessler (R-F) method (1/2)
- The Rackwitz and Fiessler (R-F) method (2/2)
- The Monte Carlo Method (1/2)
- The Monte Carlo Method (2/2)
- Summary
- References
- Exercises
- Reliability of a Component under Static Load
- Introduction
- Geometric Dimension as a Random Variable
- Static Loading as a Random Variable
- Mechanical Properties of Materials as Random Variables
- Estimation of Some Design Parameters (1/2)
- Estimation of Some Design Parameters (2/2)
- Reliability of a Rod under Axial Loading
- Reliability of a Component under Direct Shearing
- Reliability of a Shaft under Torsion
- Reliability of a Beam under Bending Moment
- Reliability of a Component under Combined Stresses
- Summary
- References
- Exercises
- Samples of MATLAB®Programs
- Author's Biography
- Blank Page (1/3)
- Blank Page (2/3)
- Blank Page (3/3)
3.8. THE MONTE CARLO METHOD 155
End
Figure 3.9: e flowchart of a MATLAB program for the Monte Carlo method.
-
No Comment
..................Content has been hidden....................
You can't read the all page of ebook, please click here login for view all page.