Stochastic methods in engineering / I. Doltsinis.

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.

Includes bibliographical references and index.