Department of Mathematics

Badenoch LLC

Proposed Project for the MSU Industrial Math Students

Computational Optimization for Ballistic Obliquity, Blast Overpressure and Shockwave Mitigation


Military vehicles are designed to withstand events induced by ballistic and explosive threats. There are spatial, functional, and technical design techniques that can establish minimum countermeasures inherent in the design of a vehicle. The source of the threat can originate from anywhere around the vehicle in three-dimensional space. It is of interest to be able to subject a computer-aided design (CAD) of a vehicle to threats originating from any location to establish regions of strength and weakness in the vehicle.

It is of interest to expand the regression to include other vehicle parameters, which are not included in the above dataset. It is hypothesized that the New Car Assessment Program crash tests provide such additional parameters.


  1. Establish an analytical tool for moving the threat location around the vehicle in three-dimensional space. The tool must create vectors that interface with the CAD model to establish threat mitigation at the point where the threat would enter the crew compartment (or similar surface).
  2. The tool should be compatible with CAD program and Matlab/Simulink. Ideally, program will colorize the surface of the vehicle to show the vulnerability of all surfaces to the threat. The end result of the project is a mathematically validated computer tool, compatible with standard industrial software.
  3. There are three threat types to be evaluated: A) Projectiles. B) Blast overpressure. C) Shockwave. Each threat has its own characteristics in response to the vehicle design.


  1. Define the method and limits for positioning of threat origin. Define a standard means of locating the vehicle design in the universe of threats. Define an efficient method of moving through the threat positions. Define the matrix for recording data.
  2. Establish working computer plug-in modules that interface with Pro-E Creo and Matlab/Simulink.
  3. Automate process of scanning through three-dimensional threat matrix versus vehicle CAD model.


For any additional questions regarding the program curriculum and/or the extension deadline for the application to the MSIM program, contact us at


Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

College of Natural Science