Example6 Deformation of Spring Plate

General

  • The deformation of a spring plate under forced displacement is analyzed.
     

  • If an object is deformed beyond the limit of its elasticity, the large deformation occurs. It is treated as a nonlinear problem.
    See Technical Note Analysis of Large Deformation (Geometric Nonlinearity).
     

  • The distributions of displacement and mechanical stress are solved.
     

  • Unless specified in the list below, the default conditions will be applied.
     

 

Analysis Space

Item

Settings

Analysis Space

3D

Model unit

m

 

Analysis Conditions

This is a static analysis.
Select the “Large displacement” option.

This will activate Galileo’s nonlinear solver.

Item

Settings

Solvers

Mechanical Stress Analysis [Galileo]

Analysis Type

Static analysis

Large deformation

Select “Large displacement”.

 

Model

The spring plate is a rectangular solid body. The material is polycarbonate.

The plate is mechanically fixed at one end.

The forced displacement is applied on the other end.

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

0/Solid

PLATE

000_Polyethylene(PE) *

* Available from the Material DB

Boundary Conditions

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Settings

FIX/Face

Mechanical

Displacement

Select all X/Y/Z components.

UX=0, UY=0, UZ=0

PULL/Edge

Mechanical

Displacement

Select the Z component.

Z=-15[m]

Results

The simulation is divided in 20 substeps. The displacement becomes larger gradually in the steps.

20 results are output for the steps between 0.05[Step] and 1[Step].

 

The number of substeps is 20 by default. It can be adjusted on the Step/Thermal Load tab.

All the results of substeps are output by default. Only final result of 1[Step] can be output too.

 

The displacement at 1[Step] is shown below. The contours are the Z displacement.

The scale adjustment ratio on the Displacement tab of the Graphics Setup is set to 1.

The tip of the plate is curling towards -Y direction.

 

If [Show all results summary] is selected, the external force and reactive force are listed in the table below.

 

 

The reactive force at the boundary condition FIX is 6.163e+6[N] in + Z direction at 1[Step].

The external force at PULL is 6.163e+6[N] in -Z direction at 1[Step].

 

For comparison, the displacement without Large displacement is calculated and the result is shown below.

The tip is not curling up. That is unnatural.