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...
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| Corporate Authors: | , |
| Format: | Government Document Book |
| Language: | English |
| Published: |
Washington, D.C. :
National Aeronautics and Space Administration,
1974.
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| 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. |
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| Physical Description: | iii, 37 pages : illustrations ; 27 cm. |
| Bibliography: | Includes bibliographical references (pages 36-37) |