Solution with LS-OPTui

Change the Variables

Select the Variables panel.
Switch the Type of the variable T1 from Constant to Noise Var.
Choose t1 as the Distribution for this variable.
Switch the Type of the variable SIGY from Constant to Noise Var.
Choose s1 as the Distribution for this variable.

Latin Hypercube Sample

Select the Sampling panel.
For POINT SELECTION choose Latin Hypercube.
Use 10 as Total Number of Simulation Points (to allow the simulation to finish in reasonable time).

Set the Constraint

Select the Constraints panel.
Choose the Response TOP_DISP as the constraint.
Enter -230 as the Lower Bound.

Run the Monte Carlo Analysis

Select the Run panel.
Push the Run button to start the Monte Carlo analysis.

The created command file may look like this:

$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$Command file "com.monte_carlo.start"$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ Generated using LS-OPT Version 4.1$"Tube Crush Monte Carlo "$$ Created on Fri Mar  4 14:24:21 2011solvers 1responses 1histories 1$$ PROBABILISTIC DISTRIBUTIONS$distribution 2 distribution 't1' NORMAL  1  0.05   distribution 's1' NORMAL  1  0.05  $$ DESIGN VARIABLES$variables 2 Noise variable 'T1' distribution 't1' Noise variable 'SIGY' distribution 's1'$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$      SOLVER "SOLVER_1"$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ DEFINITION OF SOLVER "SOLVER_1"$ solver dyna960 'SOLVER_1'  solver command "ls971_R4_2"  solver input file "tube.k"  solver check output on   solver compress d3plot off $ ------ Pre-processor --------$   NO PREPROCESSOR SPECIFIED$ ------ Post-processor --------$   NO POSTPROCESSOR SPECIFIED$ ------ Metamodeling ---------  solver experiment design lhd_generalized  solver number experiments 10$ ------ Job information ------  solver concurrent jobs 1$$ RESPONSES FOR SOLVER "SOLVER_1"$ response 'TOP_DISP' 1 0 "BinoutResponse -res_type nodout -cmp z_displacement -id 486  -select MIN "$$ HISTORIES FOR SOLVER "SOLVER_1"$ history 'TOP_DISP_HIST' "BinoutHistory -res_type nodout  -cmp z_displacement -id 486"$$ NO OBJECTIVES DEFINED$ objectives 0$$ CONSTRAINT DEFINITIONS$ constraints 1 constraint 'TOP_DISP'  lower bound constraint 'TOP_DISP' -230$$ JOB INFO$analyze monte carloSTOP

Open the File

From the main menu bar select File → Open and the command file com.monte_carlo.start.

Monte Carlo Analysis Task

From the main menu bar select Task → Direct Simulation → Monte Carlo Analysis.

Define the solvers

Select the Solvers panel.
For Command specify the LS-DYNA executable ls971_R4_2 (This name can be different on your computer).
For Input File browse the file tube.k.
Enter a name for Name of Analysis Case, e.g. SOLVER_1
Push the Add button.

Add the Distributions

Select the Dist panel.
For the distribution Type choose Normal from the category chooser.
For Mean enter 1.
For Standard Deviation enter 0.05.
Enter a Distribution Name, e.g. t1.
Push the Add button to create the distribution.

For the distribution Type choose Normal from the category chooser.
For Mean enter 1.
For Standard Deviation enter 0.05.
Enter a Distribution Name, e.g. s1.
Push the Add button to create the distribution.