Noon Digital Resources
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Abstract
In this study, the stability of an Euler-Bernoulli beam under the effect
of a moving projectile will be reintroduced using simple eigenvalue analysis
of a finite element model. The eigenvalues of the beam change with the mass,
speed, and position of the projectile, thus, the eigenvalues are evaluated
for the system with different speeds and masses at different position until
the lowest eigenvalue reaches zero indicating the instability occurrence.
Then a map for the stability region may be obtained for different boundary
conditions. Then the dynamics of the beam will be investigated using the
Newmark algorithm at different values of speed and mass ratios. Finally, the
effect of using stepped barrels on the stability and the dynamics is going
to be investigated. It is concluded that the technique used to predict the
stability boundaries is simple, accurate, and reliable, the mass of the
barrel on the dynamics of the problem can not be ignored, and that using the
stepped barrels, with small increase in the diameter, enhances the stability
and the dynamics of the barrel.
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