Stochastic methods in engineering / I. Doltsinis.

Format:

Book

Author/Creator:

Doltsinis, I. St.

Language:

English

Subjects (All):

Stochastic analysis.

Engineering.

Physical Description:

1 online resource (379 p.)

Place of Publication:

Southampton ; Boston : WIT Press, c2012.

Language Note:

English

Summary:

The book, emanating from a university course, includes research and development in the field of computational stochastic analysis and optimization. It is intended for advanced students in engineering and for professionals who wish to extend their knowledg

Contents:

Cover; Stochastic Methods in Engineering; Copyright Page; Contents; Preface; 1. Introduction; 1.1 Uncertainty; 1.2 Structural analysis and design improvement; 1.3 Reliability; 1.4 Evolutionary processes; 1.5 Statistical comparison; 2. Randomness; 2.1 Random variables; 2.2 Transformed vector variables; 2.3 Probability; 2.4 Relations between variates; 2.5 Aspects of parameter estimation; 2.6 Problems; 3. Structural analysis by Taylor series expansion; 3.1 Random response; 3.2 Linear elastic systems; 3.3 Large displacements; 3.4 Path-dependence - elastoplasticity

3.5 Performance of the incremental approach3.6 Non-linear dynamics; 3.7 Problems; 4. Design optimization, robustness; 4.1 The optimization task; 4.2 Implication of randomness; 4.3 Robustness; 4.4 Sensitivity of the objective; 4.5 Design sensitivity of the response; 4.6 Structural compliance optimization of a 25-bar space truss; 4.7 Antenna structure undergoing large displacements; 4.8 Problem; 5. Monte Carlo techniques for system response and design improvement; 5.1 Random sampling and statistical synthesis; 5.2 The input sample; 5.3 Relationships between variables; 5.4 Modification of design

5.5 Exploration of the design space5.6 Problems; 6. Reliability; 6.1 Definitions; 6.2 Reliability of assemblies; 6.3 Assessment of system reliability; 6.4 Reliability assessment by simulation; 6.5 Optimization and reliability; 6.6 Problems; 7. Time variant phenomena; 7.1 Stochastic processes; 7.2 Random fields; 7.3 Input-output issues; 7.4 Time to failure - lifetime; 7.5 Problems; 8. Material deformation processes; 8.1 Significance of random input; 8.2 Finite element formalism for inelastic deformation; 8.3 Implication of randomness; 8.4 Process design; 9. Analysis and comparison of data sets

9.1 Information on the sample9.2 Reduced representation; 9.3 Comparison of two data sets; 9.4 Extension to random processes; 9.5 Distance between random systems; Appendix A: Probability distribution of test functions; A.1 Chi-square (X2) distribution; A.2 F distribution; A.3 T2 distribution; A.4 Student's t distribution; A.5 Beta (β) distribution; A.6 Wilks' Λ (Wilks' U); Bibliography; Index; B; C; D; E; F; G; H; l; K; L; M; N; O; P; R; S; T; U; V; W

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-282-13371-3

9786613806291

1-84564-627-4

OCLC:

799767033