Car Crash Simulation: Calculating Damage & Enhancement Effects

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The discussion focuses on creating a car crash simulation to calculate damage from collisions between two cars, factoring in speed and mass. The user seeks to understand how to mathematically incorporate enhancements, such as door beams on car A, to reduce damage. Key concepts include momentum, stress, and strain, with suggestions to define material properties and impulse curves for accurate calculations. The importance of occupant safety over vehicle damage is also highlighted, emphasizing the role of crumple zones in reducing forces during a crash. The user expresses gratitude for the guidance and plans to update on their progress.
kimlambiguit
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Hi.. I am trying to create a car crash simulation. what i want to do is to simulate two cars crashing and calculate the damage that was induced on both cars with the given speed, mass etc. part 2 of that simulation is an enhancement on car A. I would put beams on the doors of the cars to lessen the damage that will result in the crash with the same values for speed, mass etc. I know for a fact that Momentum is the physics behind this things. My problem is I don't know how to calculate the damage induced on both cars and the physical effect of the enhancement i made on car A. How will i Mathematicaly put that enhancement on car A. Any Ideas? hope someone can help me.
 
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You have to look into things like stress and strain:

http://www.omega.com/literature/transactions/volume3/strainfig1.html"

http://en.wikipedia.org/wiki/Strength_of_materials"

and their relationship

http://en.wikipedia.org/wiki/Stress-strain_curve"

(which differs for each type of material) - that is how do the material deform under (compression in your case) stress.

You could then define your own curve for your car and then also define an impulse curve for the collision in order to calculate the stress during the collision.
 
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How accurate do you want your calculations to be? There's a reason they test cars by smashing a few into walls! Also, lessening the damage to the car isn't always the goal; the goal is to lessen the damage to the occupants! Thus, through the use of crumple zones, etc., the change in momentum is done over a greater amount of time, reducing the average force experienced by the occupants.
 
Thanks for the reply guys.. I'll look into those websites you gave me andrevdh because honestly, I'm still confused about everything.. i just wanted to know where i should begin and you guys gave me ideas..

about my calculations, not really accurate but just enough to say that my simulation is valid.

thanks for the reply guys and i'll post an update of my work (i really hope i can post)
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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