Structural Response to Moving Projectile Mass by the Finite Element Method
WATERVLIET ARSENAL NY BENET WEAPONS LAB
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This work establishes the feasibility of handling problems of projectilebore interaction via the method of finite elements. The problem treated herein involves the analytical determination of the time-variant matrix coefficients for the structure equations of motion in a manner consistent with the finite element displacement method. The resultant equations of motion are solved numerically and results compare favorably with those reported by experimentalists in the literature. For this purpose, the otherwise general procedure is applied to the problem of predicting the response of a simply supported beam to a concentrated mass in motion at constant velocity. The technique can be easily extended to gun tube geometries by merely altering the boundary conditions, increasing the number of finite elements and allowing their dimensions to approximate the tube of interest. Similarly, the feature of variable projectile velocity can easily be included.
- Theoretical Mathematics