﻿ Elastic CollisionExamples | Product | Murata Software Co., Ltd.

# Example32Elastic 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.

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