Analysis of Shell Structures Subjected to a Blast Environment: A Finite Element Approach, Part 2

摘要

The development of a finite element technique designed specifically for the analysis of blast loaded (chemical explosions) or combined blast and thermally loaded (nuclear explosions) circular cylinders is outlined. To lead into the dynamic analysis the consistent mass matrix development is presented along with that for a companion diagonal mass matrix which exhibits dynamically correct behavior. The requirements of temporal integration schemes are investigated and the necessary and sufficient conditions for a liner single step integration method to be stable when operating on a system of motion equations in which the damping matrix is nonproportional are presented. Finally, examples of dynamic analyses, including a cylinder loaded by a nuclear burst, using the methods outlined herein are presented.