Bouncing Tube equation

[Tech Guy]

What is the equation to find the bouncing height of a cylindrical tube when the flat surface is falling on the floor under earth's gravity? I know the mass, drop height and material properties of the cylindrical tube.

[studiot]

2 minutes ago, Tech Guy said:

What is the equation to find the bouncing height of a cylindrical tube when the flat surface is falling on the floor under earth's gravity? I know the mass, drop height and material properties of the cylindrical tube.

Depends upon if you are considering an elastic or inelastic impact ?

[Tech Guy]

Considering it as an elastic impact.

Material of the tube is high-density polyethylene.

Density 960 kg/m3, Tensile modulus 1500MPa Tensile strength at yield 31 MPa Charpy Imp strength 4.0 kJ/m2

And considering tube is falling to a concrete floor 

 

[studiot]

33 minutes ago, Tech Guy said:

Considering it as an elastic impact.

Material of the tube is high-density polyethylene.

Density 960 kg/m3, Tensile modulus 1500MPa Tensile strength at yield 31 MPa Charpy Imp strength 4.0 kJ/m2

And considering tube is falling to a concrete floor 

 

OK so you need the coefficient of restitution.

This pdf is an advanced treatment, but includes explanation of the basics.

http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.402.4689&rep=rep1&type=pdf

 

Note the poly tube will be in compression not tension at impact.

Edited October 4, 2021 by studiot

[swansont]

6 hours ago, Tech Guy said:

Considering it as an elastic impact.

Material of the tube is high-density polyethylene.

Density 960 kg/m3, Tensile modulus 1500MPa Tensile strength at yield 31 MPa Charpy Imp strength 4.0 kJ/m2

And considering tube is falling to a concrete floor 

 

If it's elastic it will rise to its initial height, unless there is rotation imparted to it.

It's the inelastic collision that requires more information and analysis.

[studiot]

2 hours ago, swansont said:

If it's elastic it will rise to its initial height, unless there is rotation imparted to it.

It's the inelastic collision that requires more information and analysis.

I think I need a holiday.

First class catch, I misread the reply. + 1

😳