On combinations of random loads
By: by D. P. Gaver and P. A. Jacobs
Contributors: Jacobs, Patricia A; Naval Postgraduate School (U.S.)
Publisher: Naval Postgraduate School
Published: 1980
Place of publication: Monterey, California
Language: eng
Format: [electronic resource] /
Number of pages: 47
Subjects: Mathematical models; Materials; Dynamic testing; Structural dynamics; Strains and stresses
Description: Structures are subject to changing loads from various sources. In many instances these loads fluctuate in time in an apparently random fashion. Certain loads vary rather slowly (called constant loads); other loads occur more nearly as impulses (shock loads). Suppose that the stress put on the structure by various loads acting simultaneously can be expressed as a linear combination of the load magnitudes. In this paper certain simple but somewhat realistic probabilistic load models are given and the resulting probabilistic model of the total stress on the structure caused by the loads is considered. The distribution of the first time until the stress on the structure exceeds a given level x, and the distribution of the maximum stress put on the structure during the time interval (0,t) are studied. Asymptotic properties are also given. It is shown that the asymptotic properties of the maximum stress are related to those of the maxima of a sequence of dependent random variables. Classical extreme value type results are derived under proper normalization.
Notes: Title from cover.

"January 1980"--Cover.

"NPS-55-80-006"--Cover.

DTIC Identifiers: Extreme value problems, superposition principle, superposition (mathematics).

Author(s) key words: Random load combinations, first passage times, asymptotic properties, maxima of correlated random variables.

Includes bibliographical references (p. 28).

"Approved for public release; distribution unlimited"--Cover.

Technical report; 1980.

Also available in print.

Mode of access: World Wide Web.

System requirements: Adobe Acrobat reader.

kmc/kmc 9/21/09.