21.3.9.1. Monte-Carlo Simulation Process

Now, by using Design Parameter and Analysis Response in AutoDesign Menu, define the random variables and the limit state functions as design parameter and analysis responses. Figure 21.113 and Figure 21.114 show these processes.

Figure 21.113 Setting Design parameter in Defining the random variables and limit state function

Figure 21.114 Setting Limit state function in Defining the random variables and limit state function

Next, select Reliability: Monte-Carlo simulation in AutoDesign menu. Then, you can see the design variable list. The current values are directly inputted in Mean values. Select the probability distribution type and define the standard deviation values. Then, check the performance index dialogue. In this window, you can define the limit state function and its’ limit value. Figure 21.115 shows these processes.

Figure 21.115 Define the reliability analysis problem

We provide two sampling methods such as ‘Latin Hypercube sample’ and ‘Random sample’. In general, Latin Hypercube sampling is recommended, because it can cover wide sampling range by using only small number of points. Then, you push ‘Execution’ button after defining ‘Sampling Option’. Figure 21.116 shows ‘Analysis Control’ dialogue.

Figure 21.116 Analysis control of Monte-Carlo simulation