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  1. Example
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lees frame

Previousdouble-edge notched specimenNextnotched beam under cyclic loading

Last updated 1 year ago

The Lee's frame is shown as follows.

The model can be downloaded.

Model Setup

Since this is an elastic analysis, we use EB21 element to model this problem. To suppress axial deformation, a large area of 500500500 is assigned. The node and element definitions can be established as follows.

node 1 0 0
node 2 0 1
node 3 0 2
node 4 0 3
node 5 0 4
node 6 0 5
node 7 1 5
node 8 2 5
node 9 3 5
node 10 4 5
node 11 5 5

element EB21 1 1 2 500. 1. 1 1
element EB21 2 2 3 500. 1. 1 1
element EB21 3 3 4 500. 1. 1 1
element EB21 4 4 5 500. 1. 1 1
element EB21 5 5 6 500. 1. 1 1
element EB21 6 6 7 500. 1. 1 1
element EB21 7 7 8 500. 1. 1 1
element EB21 8 8 9 500. 1. 1 1
element EB21 9 9 10 500. 1. 1 1
element EB21 10 10 11 500. 1. 1 1

material Elastic1D 1 10

fix 1 1 1 11
fix 2 2 1 11

Both snap-back and snap-through are involved in this example, the arc length method shall be used. A reference load of magnitude −1-1−1 is applied on the DoF 2 of node 7.

refload 1 0 -1 2 7
step arclength 1

Here the magnitude of reference load matters. A proper selection of reference load may help to converge. By default, the algorithm automatically scale the arc length until a stopping criterion is met.

To control the solving strategy, one can control arc length by using

set ini_step_size .5
set fixed_step_size true
set max_iteration 1000

The above command uses a fixed arc length of 0.50.50.5. By default, a maximum of 100010001000 sub steps are allowed, this may not be sufficient, to change it the set command can be called.

criterion MinDisplacement 1 7 2 -3.8

With the above criterion, when the negative displacement of DoF2 of node 7 reaches −3.8-3.8−3.8, the analysis stops.

Now the model can be analyzed.

analyze

Result

The sign of vertical displacement is flipped.

lees-frame.supan
Lee's frame
example one