Stochastic methods in engineering /
I. Doltsinis.
- Southampton ; Boston : WIT, c2012.
- 360 p. : ill. ; 24 cm.
CONTENT
1. Introduction Uncertainty Structural analysis and design improvement Reliability Evolutionary process Statistical comparison
2. Randomness Transformed vector variables Probability Relations between varieties Aspect of parameter estimation Problems
3. Structural analysis by Taylor series expansion Random response Linear elastic system Large displacement Path-dependence-elastoplasticity Performance of incremental approach Non-linear dynamics Problems
4. Design optimization, robustness The optimization task Implication of randomness Robustness Sensitivity the objective Design sensitivity of the response etc.
5. Monte Carlo techniques for system response and design improvement Random sampling and statistical synthesis The input sample Relationship between variables Modification of design Exploration of design space etc.
6. Reliability Definitions Reliability of assemblies Assessment of system reliability Reliability assessment by simulation Optimization and reliability problems
7. Time variant phenomena Stochastic processes Random fields Input-output issues Time to failure-lifetime Problems
8. Material deformation process Significance of random input Finite element formalism for inelastic deformation Implication of randomness Process design
9. Analysis and comparison of data sets Information on the simple Reduced representation Comparison of two data sets Extension of random processes Distance between random systems etc.