Chapter 11 Reliability-Based Optimum Design
11.1 Introduction 11.2 optimization problem The standard optimization problem can be stated as: Which minimizes f(X) Subject to
11.3 Formulation of Optimization Problem 11.3.1 Reliability allocation problem solution
11.3.2 Structural and mechanical design problems
11.4 Solution Technique 14.4.1 Graphical-optimization method Find X which monimizes f(X) Subject to the constraints Gj(X)<0, j=1,2,……,m
11.4.2 Lagrange multiplier method Which minimuzes
11.4.3 Penalty function Method Iteration procedure
For simple problem minimizes a>o, b>0
Unconstrained minimization
One dimensional minimization
Deterministic formulation
Probabilistic formulation
11.4.4 Dynamic programming
The various stages are given in table.