feat: named case-result load combinations with full GUI support
Snapshots the current development tree, headlined by proper load combinations (user request): a reusable LoadCombination entity of weighted completed static-case results (e.g. 1.2xDead + 1.6xLive). - core: LoadCombination/LoadCombinationItem entities, Project integration (lookup, unique ids, reference validation) - services: combinations.py (linear superposition + envelope), exported via services __init__ - commands: undoable Add/Delete/Update for combinations - GUI: Load Combinations manager dialog, Run-dialog evaluation, envelope display in Results panel, Combinations tab in Table dock - tests: unit coverage (validation, math, error paths) + integration superposition check vs a single factored run
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examples/data/EigenAnal_twoStoreyFrame1.tcl.txt
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examples/data/EigenAnal_twoStoreyFrame1.tcl.txt
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# Eigen analysis of a two-storey one-bay frame; Example 10.5 from "Dynamics of Structures" book by Anil Chopra
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# units: kips, in, sec
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# Vesna Terzic, 2010
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#delete all previosly constructed objects
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wipe;
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#set input variables
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#--------------------
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#mass
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set m [expr 100.0/386.0]
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#number of modes
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set numModes 2
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#material
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set A 63.41
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set I 320.0
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set E 29000.0
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#geometry
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set L 240.
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set h 120.
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# create data directory
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file mkdir modes;
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# define the model
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#---------------------------------
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#model builder
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model BasicBuilder -ndm 2 -ndf 3
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# nodal coordinates:
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node 1 0. 0. ;
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node 2 $L 0. ;
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node 3 0. $h ;
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node 4 $L $h ;
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node 5 0. [expr 2*$h];
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node 6 $L [expr 2*$h];
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# Single point constraints -- Boundary Conditions
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fix 1 1 1 1;
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fix 2 1 1 1;
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# assign mass
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mass 3 $m 0. 0. ;
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mass 4 $m 0. 0. ;
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mass 5 [expr $m/2.] 0. 0. ;
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mass 6 [expr $m/2.] 0. 0. ;
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# define geometric transformation:
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set TransfTag 1;
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geomTransf Linear $TransfTag ;
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# define elements:
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# columns
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element elasticBeamColumn 1 1 3 $A $E [expr 2.*$I] $TransfTag;
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element elasticBeamColumn 2 3 5 $A $E $I $TransfTag;
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element elasticBeamColumn 3 2 4 $A $E [expr 2.*$I] $TransfTag;
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element elasticBeamColumn 4 4 6 $A $E $I $TransfTag;
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# beams
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element elasticBeamColumn 5 3 4 $A $E [expr 2.*$I] $TransfTag;
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element elasticBeamColumn 6 5 6 $A $E $I $TransfTag;
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# record eigenvectors
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#----------------------
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for { set k 1 } { $k <= $numModes } { incr k } {
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recorder Node -file [format "modes/mode%i.out" $k] -nodeRange 1 6 -dof 1 2 3 "eigen $k"
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}
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# perform eigen analysis
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#-----------------------------
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set lambda [eigen $numModes];
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# calculate frequencies and periods of the structure
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#---------------------------------------------------
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set omega {}
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set f {}
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set T {}
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set pi 3.141593
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foreach lam $lambda {
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lappend omega [expr sqrt($lam)]
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lappend f [expr sqrt($lam)/(2*$pi)]
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lappend T [expr (2*$pi)/sqrt($lam)]
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}
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puts "periods are $T"
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# write the output file cosisting of periods
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#--------------------------------------------
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set period "modes/Periods.txt"
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set Periods [open $period "w"]
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foreach t $T {
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puts $Periods " $t"
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}
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close $Periods
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# record the eigenvectors
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#------------------------
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record
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# create display for mode shapes
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#---------------------------------
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# $windowTitle $xLoc $yLoc $xPixels $yPixels
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recorder display "Mode Shape 1" 10 10 500 500 -wipe
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prp $h $h 1; # projection reference point (prp); defines the center of projection (viewer eye)
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vup 0 1 0; # view-up vector (vup)
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vpn 0 0 1; # view-plane normal (vpn)
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viewWindow -200 200 -200 200; # coordiantes of the window relative to prp
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display -1 5 20; # the 1st arg. is the tag for display mode (ex. -1 is for the first mode shape)
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# the 2nd arg. is magnification factor for nodes, the 3rd arg. is magnif. factor of deformed shape
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recorder display "Mode Shape 2" 10 510 500 500 -wipe
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prp $h $h 1;
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vup 0 1 0;
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vpn 0 0 1;
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viewWindow -200 200 -200 200
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display -2 5 20
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# get values of eigenvectors for translational DOFs
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#---------------------------------------------------
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set f11 [nodeEigenvector 3 1 1]
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set f21 [nodeEigenvector 5 1 1]
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set f12 [nodeEigenvector 3 2 1]
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set f22 [nodeEigenvector 5 2 1]
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puts "eigenvector 1: [list [expr {$f11/$f21}] [expr {$f21/$f21}] ]"
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puts "eigenvector 2: [list [expr {$f12/$f22}] [expr {$f22/$f22}] ]"
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