# Robustness

Reliability Analysis, Robust Design Optimization (RBDO), Robust Parameter Design, ...

## Reliability Analysis

This example is a Monte Carlo analysis of a steel tube being crushed. The effect of both a variation in material thickness and a variation in the plastic stress-strain curve is investigated. The response is compared to the crush distance of the selected nominal design. This example demonstrates: Reliability Based Design Optimization (RBDO), Monte Carlo Analysis and Metamodel-based Monte Carlo Analysis.

## RBDO

Reliability Based Design Optimization (RBDO) includes the variation of the design variables into the design problem. The problem is of a simple two-bar truss. It has two variables: the thickness of the bars and the leg width. The example demonstrates: Reliability Based Design Optimization (RBDO), creating statistical distributions and assigning them to design variables and probabilistic constraints.

## Robust Parameter Design

Robust Parameter Design selects designs insensitive to the variation of given parameters. This is the two-bar truss as considered previously. The bar thicknesses are noise variables while the leg widths are adjusted (control variables) to minimize the effect of the variation of the bar thicknesses. The tutorial illustrates the feature Robust Parameter Design.

## Metal Forming

Metal Forming is a process whose objectives can be very sensitive to the variables which are the applied force on the system, material properties and the friction coefficients between the parts. In this example a Matemodel-based Monte Carlo Analysis is performed by scattering the design variables of the forming process in order to observe the robustness of the system responses with respect to those design variables.