Accession Number : AD0475768
Title : A SIMPLIFIED METHOD FOR DYNAMIC STRESS ANALYSIS OF AXIALLY SYMMETRIC SOLID PROPELLANT GRAINS.
Descriptive Note : Technical documentary rept.,
Corporate Author : AEROSPACE CORP EL SEGUNDO CA LAB OPERATIONS
Personal Author(s) : Jones, John Paul ; Whittier, James S.
Report Date : NOV 1965
Pagination or Media Count : 35
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)
Descriptors : (*PROPELLANT GRAINS, EQUATIONS OF MOTION), DYNAMICS, STRESSES, THICKNESS, VISCOELASTICITY, BESSEL FUNCTIONS, VIBRATION, CYLINDRICAL BODIES, DEFORMATION, PRESSURE, INTEGRAL EQUATIONS, MOTION, SHEAR STRESSES.
Subject Categories : Mechanics
Distribution Statement : APPROVED FOR PUBLIC RELEASE