Comparison with Small Displacement Formulation

To compare results with small displacement formulation nonlinear analysis:

  1. Right-click the Simulation study tab and select Copy Study.
  2. In the Copy Study PropertyManager, for Study name type Small Displacement.
  3. In the Small Displacement study tab, right-click the top study name icon, and click Properties. In the Nonlinear - Static dialog box, clear Use large displacement formulation.
  4. Run the study.
  5. View the results. The table below summarizes the results.
Quantity Large Displacement Formulation Small Displacement Formulation
Maximum Resultant Displacement

(20,000 N/m2 pressure)

1.633 cm

(Step 10)

0.406 cm
Max von Mises Stress at top face

(20,000 N/m2 pressure)

1.142E+08 N/m2

(Step 10)

2.207E+08 N/m2
Maximum Resultant Displacement

(2,000 N/m2 pressure)

0.3773 cm

(Step 1)

0.406 cm
Max von Mises Stress at top face

(2,000 N/m2 pressure)

2.030E+07 N/m2

(Step 1)

2.207E+07 N/m2

The results from the large and small displacement formulation are very close for the first solution step (Step 1) when only 1/10 of the load is applied and the displacements are still small.

The results from the two nonlinear studies deviate significantly at the last step (Step 10) when the full load is applied. The small displacement assumption is not valid anymore, and the large displacement formulation gives the correct results.

Congratulations! You have completed this lesson.