Building the perfect mathematically speaking tramp

[McLS]

Hey NS, I'm currently doing an applied physics and maths project on trampolines with the main idea behind it being "how can you jump higher on a trampoline" (not including biology in this so all the muscle coordination to jump higher, which i know is the biggest factor, is completely left out).

So I was just wondering if anyone had done any research on this topic (like how does the tension of the mat affect the air you get or how the size and shape of a tramp modifies the tension and the height you get...etc)

The ultimate goal is to design the physics and mathematically speaking perfect trampoline for a given surface area and mass of user.

So i'm guessing only nsers could have done projects like this, and if so, it'd be awesome if you could give me some tips and help me out!

im also in contact with a few trampoline builders and companies so that should get me started too.

tl;dr: doing a maths and physics project "how to jump higher on a tramp" if you've done something similar or know someone who has, help would be super appreciated.

 

[JahLiam]

well overall, building it shouldn't be too tricky, the hardest part will be getting it to speak mathematically

 

[gotti]

i feel like you should be trying to optimize the smallest tramp with the biggest bounce bc obviously the bigger you make the tramp the higher it will bounce you

 

[Iliveinutah]

i know that if you make the mat to stiff not only do you not bounce as high but you will just collapse because of the bed not giving enough when you land... also the longer the springs the more you will sink into the bed and that gives you a longer vertical push.. there is a fine line between the two , more then likely its already been found.

 

[McLS]

i know that if you make the mat to stiff not only do you not bounce as high but you will just collapse because of the bed not giving enough when you land... also the longer the springs the more you will sink into the bed and that gives you a longer vertical push.. there is a fine line between the two , more then likely its already been found.

Thanks! thats the kinda info im looking for!

and to the others, the optimal tramp will be for a given surface area only, one thats big enough to go to the side a bit.

 

[DrZoidberg]

Get equation for springs

Get equation for elastic rectangle, aka the part you jump on.

Apply matlab

Maximize energy return for dropping an item of fixed surface area and mass on the tramp

Go to space

There must be an equation somewhere for if you have an elastic rectangle of these parameters and you drop an item into it, it will stretch/deform in this manner and produce these sort of return to it's resting position conditions. Springs are easy, although maybe not as easy when they deform on multiple axis. So once you have equations for all forces and such, you could just ask the computer to maximize for you, right?"

 

[McLS]

Get equation for springs

Get equation for elastic rectangle, aka the part you jump on.

Apply matlab

Maximize energy return for dropping an item of fixed surface area and mass on the tramp

Go to space

There must be an equation somewhere for if you have an elastic rectangle of these parameters and you drop an item into it, it will stretch/deform in this manner and produce these sort of return to it's resting position conditions. Springs are easy, although maybe not as easy when they deform on multiple axis. So once you have equations for all forces and such, you could just ask the computer to maximize for you, right?"

Yeah, thats pretty much it. Finding out data can be tricky tho, just doing the experiment for dropping a ball higher and higher on the tramp, its hard measuring its max height everytime.