An improved exceedance theory for combined random stresses / by Harold C. Lester.
This paper presents an extension of Rice's classic solution for the exceedances of a constant level by a single random process to its counterpart for an n-dimensional vector process. An interaction boundary, analogous to the constant level considered by Rice for the one-dimensional case, is ass...
Saved in:
Main Author: | |
---|---|
Corporate Authors: | , |
Format: | Government Document Book |
Language: | English |
Published: |
Washington, D.C. :
National Aeronautics and Space Administration,
1974.
|
Series: | NASA technical report ;
R-418. |
Subjects: |
Summary: | This paper presents an extension of Rice's classic solution for the exceedances of a constant level by a single random process to its counterpart for an n-dimensional vector process. An interaction boundary, analogous to the constant level considered by Rice for the one-dimensional case, is assumed in the form of a hypersurface. The theory for the numbers of boundary exceedances is developed by using a joint statistical approach which fully accounts for all cross-correlation effects. An exact expression is derived for the n-dimensional exceedance density function, which is valid for an arbitrary interaction boundary. For the application to biaxial states of combined random stress, the general theory is reduced to the two-dimensional case. An elliptical stress interaction boundary is assumed and the exact expression for the density function is presented. The equations are expressed in a format which facilitates calculating the exceedances by numerically evaluating a line integral. The paper concludes with a brief discussion of the behavior of the density function for the two-dimensional cases. |
---|---|
Physical Description: | iii, 37 pages : illustrations ; 27 cm. |
Bibliography: | Includes bibliographical references (pages 36-37) |