Question about Force and Velocity

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    Force Velocity
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SUMMARY

The discussion centers on calculating the velocity of a vehicle involved in a collision, specifically when car #2 crashes into car #1. While there is no closed-form analytical solution due to the complexities of permanent deformation (plastic deformation), non-linear finite element analysis (FEA) is the primary method used to derive the velocity from the force exerted during the impact. This approach is prevalent in the automotive industry for analyzing crash scenarios and understanding structural responses.

PREREQUISITES
  • Understanding of non-linear finite element analysis (FEA)
  • Knowledge of plastic deformation principles
  • Familiarity with collision dynamics
  • Basic mechanics of materials
NEXT STEPS
  • Research non-linear finite element analysis (FEA) techniques
  • Study the principles of plastic deformation in materials
  • Explore collision dynamics and impact analysis methods
  • Learn about software tools used for FEA, such as ANSYS or Abaqus
USEFUL FOR

Automotive engineers, crash analysts, materials scientists, and anyone involved in vehicle safety and impact analysis will benefit from this discussion.

EmpireSB
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Is there an equation that will find the velocity of a certain force. Namely, if car #2 crashed into car # 1 and figuring the amount of force that caused the dent in car #1 and from that force finding the velocity, of car #2, that caused the dent. Thank you.
 
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Yes and no. There are ways to calculate the velocity of the offending car in this situation. But, there's no closed form analytical solution. This is an area of permanent deformation of structures (called plastic deformation), and the governing equations are incredibly complex because they are dependent on the shape, which keeps changing. In reality, methods called non-linear finite element analysis are used for problems like this. It's widely used in the auto industry and elsewhere.
 

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