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Expansion GUI

1.3.1. Expansion GUI#

This tutorial aims at illustrating how to implement and analyze expansion technique using GUI in SDT.

Step 1 : Load required data for expansion#

:::{dropdown} Run step . Expand to display source code.

[model,def,id]=demosdt('DemoGartDataCoShape');

::: Execute the line below to load all required data for expansion :

[model,def,id]=demosdt('DemoGartDataCoShape');

  • model : GARTEUR model (very light FEM model classically used in SDT tutorials) that also contains the sensor definition and wireframe geometry in the SensDof Stack entry

  • def : FEM modes

  • id : identified modes :::{note} :class: dropdown The SensDof is used to build the observation matrix of the sensors (tdof) on the FEM (DOF). You can access its structure in wire and build the observation matrix in Sens with the command below

wire=fe_case('getsensdof',model);
Sens=fe_case('Sens',model);

:::

Step 2 : Define a model parameter from script#

:::{dropdown} Run step . Expand to display source code.

model=fe_case(model,'ParAdd k 1.0 0.1 10','ConstrainedLayer','pro4');

::: :::{warning} :class: dropdown Note that this step often needs the module PARAM and custom strategies when dealing with industrial models. This is a very simple parameterization example to show how it can be used later on. ::: Execute the line below to parameterize the ContrainedLayer stiffness in the model.

model=fe_case(model,'ParAdd k 1.0 0.1 10','ConstrainedLayer','pro4');

This parameter is introduced here to illustrate how to deal with it during expansion.

Step 3 : Open the dock CoShape#

:::{dropdown} Run step . Expand to display source code.

RO=struct('model',model,'va',id,'vb',def);
VC=iicom('DockCoShape',RO);

::: To open the dock CoShape with the required data, store them in a RO (running option) structure with the fields model, va and vb.

va reads Vector set A (here the identified modes)

vb reads Vector set B (here the FEM modes)

RO=struct('model',model,'va',id,'vb',def);

Then execute the command below to open the dock CoShape

VC=iicom('DockCoShape',RO);

Step 4 : Build the reduced parameterized model for expansion#

:::{dropdown} Run step . Expand to display source code.

% Compute reduced model for expansion
ii_mac(VC,'SetCoExp',struct('sparse',1,'Reduce','Mode+Sens','do','Reduce'));

::: Open the tab CoExp to build the reduced parameterized model To performe Minimum Dynamic Residual Expansion, we will use the reduction method Mode+Sens which uses mode shapes and an enrichment with static response at each sensor. Click on

Step 5 : Specify design points for expansion computation#

:::{dropdown} Run step . Expand to display source code.

ii_mac(VC,'SetCoExp',struct('jw','1:5','lgamma','1:5',...
'param1','@log(-1,1,11)','MDRE','do'));

:::

Step 6 : Switch between post-expansion analyzes#

:::{dropdown} Run step . Expand to display source code.

ii_mac(VC,'SetMDRE',struct('ShowExp','do'));
ii_mac(VC,'SetMDRE',struct('ShowExpTest','do'));
ii_mac(VC,'SetMDRE',struct('ShowErrMod','do'));
ii_mac(VC,'SetMDRE',struct('ShowErrModModesOnly','do'));
ii_mac(VC,'SetMDRE',struct('ShowErrModSensOnly','do'));
%ii_mac(VC,'SetMDRE',struct('ShowErrTest','do')); % Not useful as it is
%shown in feplot3

:::

Step 7 : Show model error vs. parameter for all $\gamma$#

:::{dropdown} Run step . Expand to display source code.

ii_mac(VC,'SetMDRE',struct('ShowExpTest','do'));
ii_mac(VC,'SetMDRE',struct('Xaxis3',1,'Dim3',1,'Dim2','all','Dim4','ErrMod','Dim5',1));

:::

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