Normal Modes Analysis of Gun Vibrations by the Uniform Segment Method

摘要

In a related paper published in the Proceedings of the Fourth US Army Symposium on Gun Dynamics (Sneck and Gast, Normal Modes Analysis of Gun Dynamics ), the Euler-Bernoulli equation for a prismatic gun/beam elastically supported (transverse and rotation) at the breech was solved for its normal vibration modes and response to various transient loadings. This report is an extension of the reference in that the axially varying tube properties are now considered, whereas the boundary conditions are removed and applied as external displacement dependent loads. In the Uniform Segment Method the spatial domain is divided into a finite number or prismatic sections within which the Euler equation is applied.