# Accession Number:

## AD0684306

# Title:

## THE BEHAVIOR OF A COMPOSITE DISC IN PLANE ELASTIC EQUILIBRIUM

# Descriptive Note:

## Technical rept.

# Corporate Author:

## WATERVLIET ARSENAL NY BENET WEAPONS LAB

# Personal Author(s):

# Report Date:

## 1969-01-01

# Pagination or Media Count:

## 78.0

# Abstract:

The investigation was directed to the analysis of a composite disc in plane elastic equilibrium. The disc consisted of concentric regions, each of homogeneous properties, and was loaded on its outer surface by an arbitrary load. Reactions at the center are prescribed to provide the necessary equilibrating force and moment. The equations of equilibrium are specified in terms of the radial and tangential displacements, giving a pair of partial differential in plane polar coordinates. A finite Fourier transform was applied to reduce the partial differential equations to a pair of ordinary differential equations with the radial coordinate as independent variables. Inversion of the transformed solution yields an infinite series. The analysis was continued in further detail for uniformly distributed and concentrated normal and shear loads. The deformations associated with the uniformly distributed normal load are used as the basis of a postulated friction phenomenon called the deformation coefficient of friction. Assumptions about the behavior of the strain energy as a load is translated an incremental distance give rise to a friction force, which in turn permits a friction coefficient to be calculated. This coefficient is characterized by being proportional to the load rather than constant. The contribution of the deformation coefficient to the total friction behavior is ordinarily quite small.

# Descriptors:

# Subject Categories:

- Mechanics