Example32 Elastic Collision

General

  • An object collides with another. Transient analysis is performed.
     

  • The mechanical stresses and the deformations are solved.
     

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

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Analysis Space

Item

Setting

Analysis Space

2D

Model unit

mm

 

Analysis Conditions

To simplify the simulation, the 2D model is created and analyzed.

“Large deformation” is selected, as it is expected.

Item

Setting

Solver

Mechanical Stress Analysis [Galileo]

Analysis Type

Transient Analysis

Large Deformation

Select Large displacement

 

The transient analysis is set up as follows.

The time steps after the collision are smaller than those before the collision.

Tab

Setting Item

Setting

Transient Analysis

Table

Number

Calculation steps

Output steps

Time step [s]

1

10

1

0.1×10^-4

2

80

1

0.025×10^-4

Graphical Objects

Circular sheet bodies represent objects.

The contactor and contactee surfaces are paired in the “Boundary Pair” dialog box.

Body Attributes and Materials

Body Number/Type

Body Attribute Name

Material Name

0/Sheet

Body_Attribute_001

005_Polyurethane *

1/Sheet

Body_Attribute_002

005_Polyurethane *

(*) Available from the Material DB

 

The initial velocity of the right object is set as follows. That of the left object is 0.

Body Attribute Name

Initial Velocity

Body_Attribute_002

X component: -100[m/s]

Y and Z components: 0[m/s]

Boundary Conditions

Boundary Condition Name/Topology

Tab

Boundary Condition Type

Setting

Contactor/Edge

Mechanical

Contact surface

Select “Contactor surface”.

Target/Edge

Mechanical

Contact surface

Select “Contactee surface”.

The contactor and contactee surfaces are designated as a contact pair in the “Boundary Pair” dialog box. In contact analyses, the contact surfaces must be designated as a boundary pair.

Results

The principal stress distribution at 1.5e-4[s] is shown below.

Large deformations and stresses are exhibited around the contact area.

 

 

The chart below shows the velocities of 2 objects over time.

The blue and red plots are for the right and left objects respectively.

The velocity is transferred from the right object to the left at 1.0e-4[s] through 2.0e-4[s].

 

This is explained by the theory of elastic collision in which exchange of velocity takes place before and after the elastic collision between objects of the same mass on the straight line.

 

On the [Results] tab,

click [Create Animation] . The animation file (.avi) will be created.