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.