A SIMPLIFIED METHOD FOR DYNAMIC STRESS ANALYSIS OF AXIALLY SYMMETRIC SOLID PROPELLANT GRAINS.
Abstract
The report investigates the response to transient axially symmetric end pressure of a finite length hollow circular cylinder with a fixed outer surface. Axially symmetric thickness shear motion is assumed predominant and a correspondingly simplified equation of motion is derived. It is found that, for forced motion problems, considerable simplification is obtained if, instead of solving the equations of motion exactly, one uses Galerkin's method. One- and two-term' Galerkin expansions are compared with exact solutions for free vibrations and for transient response to suddenly applied pressure. Agreement is good for the one-term expansion and excellent for the two-term expansion. The equations are derived for a standard linear solid as well as an elastic grain, calculations are performed for the elastic grain only. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Nov 01, 1965
- Accession Number
- AD0475768
Entities
People
- James S. Whittier
- John Paul Jones
Organizations
- The Aerospace Corporation