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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| Main Author: | |
|---|---|
| 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: |
MARC
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| 100 | 1 | |a Lester, Harold C. |0 http://id.loc.gov/authorities/names/n82277958. | |
| 245 | 1 | 3 | |a An improved exceedance theory for combined random stresses / |c by Harold C. Lester. |
| 260 | |a Washington, D.C. : |b National Aeronautics and Space Administration, |c 1974. | ||
| 300 | |a iii, 37 pages : |b illustrations ; |c 27 cm. | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a unmediated |b n |2 rdamedia. | ||
| 338 | |a volume |b nc |2 rdacarrier. | ||
| 490 | 1 | |a NASA technical report ; |v R-418. | |
| 504 | |a Includes bibliographical references (pages 36-37) | ||
| 520 | 3 | |a 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. | |
| 650 | 0 | |a Strains and stresses |x Mathematical models. | |
| 650 | 0 | |a Statistical mechanics. |0 http://id.loc.gov/authorities/subjects/sh85127571. | |
| 650 | 0 | |a Stochastic processes. |0 http://id.loc.gov/authorities/subjects/sh85128181. | |
| 650 | 7 | |a Statistical mechanics. |2 fast |0 (OCoLC)fst01132070. | |
| 650 | 7 | |a Stochastic processes. |2 fast |0 (OCoLC)fst01133519. | |
| 650 | 7 | |a Strains and stresses |x Mathematical models. |2 fast |0 (OCoLC)fst01134294. | |
| 710 | 1 | |a United States. |b National Aeronautics and Space Administration. |0 http://id.loc.gov/authorities/names/n78087581 |1 http://isni.org/isni/0000000449071619. | |
| 710 | 2 | |a Langley Research Center. |0 http://id.loc.gov/authorities/names/n79134855 |1 http://isni.org/isni/0000000406376754. | |
| 776 | 0 | 8 | |i Online version: |a Lester, Harold C. |t Improved exceedance theory for combined random stresses. |d Washington, D.C. : National Aeronautics and Space Administration ; [Springfield, Va. : For sale by the National Technical Information Service], 1974 |w (OCoLC)785151217. |
| 830 | 0 | |a NASA technical report ; |v R-418. |0 http://id.loc.gov/authorities/names/n86725082. | |
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