# Accession Number:

## AD0862099

# Title:

## A Contribution to the Calculation of Shells of Revolution,

# Descriptive Note:

# Corporate Author:

## FOREIGN TECHNOLOGY DIV WRIGHT-PATTERSON AFB OH

# Personal Author(s):

# Report Date:

## 1969-03-18

# Pagination or Media Count:

## 15.0

# Abstract:

For rotational shells, approximation theories may be derived for the three-dimensional elasticity theory that permit approximation to any desired degree of the three-dimensional theory, and make it possible to establish the extent to which the equilibrium conditions in unit volume and the basic equations of the elasticity theory are fulfilled. In the derivation of these approximation theories, it was assumed that the stresses and the shifts in the power series can be developed according to the coordinate that is perpendicular to the center surface, that the elasticity theory is applicable, and that the materials are homogeneous and isotropic. The order of the shell equations and the number of members in the power series for the dislocations and stresses are then obtained as functions of the exponent of a parameter that characterizes the relations between half the shell thickness and an appropriate length. The exponent determines the degree of approximation of the three-dimensional theory. A circular cylinder shell is considered under axisymmetric load and in the plane stress state. Author

# Descriptors:

- (*SHELLS(STRUCTURAL FORMS)
- BODIES OF REVOLUTION)
- (*ELASTIC SHELLS
- STRESSES)
- (*STRESSES
- APPROXIMATION(MATHEMATICS))
- STRUCTURAL PROPERTIES
- LOADS(FORCES)
- ELASTIC PROPERTIES
- DEFORMATION
- STRAIN(MECHANICS)
- ISOTROPISM
- THICKNESS
- SERIES(MATHEMATICS)
- EQUATIONS
- NUMERICAL ANALYSIS
- CYLINDRICAL BODIES
- EAST GERMANY

# Subject Categories:

- Structural Engineering and Building Technology
- Mechanics