A simplified impact stress analysis of dynamic systems which consist of elastic and rigid bodies.

Abstract

A simplified simulation technique is described for the impact stress analysis of elastic bodies which contain rigid bodies, as in the case of stacked nuclear waste storage canisters. A numerical method based on Guyan's static condensation is proposed which neglects coupling mass terms between rigid and elastic bodies. Modal analytical theory shows that the accuracy of this new method depends on the minimum modal mass ratio (MMMR) between elastic bodies and an induced equivalent mass-spring system, that is, a simplified system which assumes a linear displacement field. For systems with MMMR values greater than 5, this new technique yields results close to those of the more complicated Finite Element Method which requires a considerable computation time. It is a simple and inexpensive way to analyze complex elastic systems which include many rigid parts.