## Introduction¶

In this section we will cover the application of forces and moments to geometry sets.

Note

Applies to simulation types:
• Topology Optimization

• Linear Elasticity

### Stochastic Distributions¶

random_vector

The random_vector distribution perturbs the nominal force direction, keeping the magnitude constant. This essentially generates additional loads over a hemisphere, centered about the nominal direction, and is illustrated below.

Fig. 1 Visualisation of a random_vector distribution. Nominal load is in purple, discrete samples are in blue and the heatmap shows the distribution in 3D.

This distribution consists of two sub-distributions: a uniform distribution acting in rotation and a truncated normal distribution acting in deviation. The total number of samples is the product of the samples in each of the sub-distributions, where any duplicate samples are accounted for in the weighting.