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Title: An efficient method for calculating RMS von Mises stress in a random vibration environment

Abstract

An efficient method is presented for calculation of RMS von Mises stresses from stress component transfer functions and the Fourier representation of random input forces. An efficient implementation of the method calculates the RMS stresses directly from the linear stress and displacement modes. The key relation presented is one suggested in past literature, but does not appear to have been previously exploited in this manner.

Authors:
; ; ;  [1]
  1. Sandia National Labs., Albuquerque, NM (United States). Structural Dynamics and Vibration Control Dept.
Publication Date:
Research Org.:
Sandia National Labs., Albuquerque, NM (United States)
Sponsoring Org.:
USDOE, Washington, DC (United States)
OSTI Identifier:
573295
Report Number(s):
SAND-98-0260
ON: DE98004155; TRN: AHC29807%%92
DOE Contract Number:
AC04-94AL85000
Resource Type:
Technical Report
Resource Relation:
Other Information: PBD: Feb 1998
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING NOT INCLUDED IN OTHER CATEGORIES; MECHANICAL STRUCTURES; STRESS ANALYSIS; MECHANICAL VIBRATIONS; TRANSFER FUNCTIONS; CALCULATION METHODS; FINITE ELEMENT METHOD; FOURIER ANALYSIS

Citation Formats

Segalman, D.J., Fulcher, C.W.G., Reese, G.M., and Field, R.V. Jr.. An efficient method for calculating RMS von Mises stress in a random vibration environment. United States: N. p., 1998. Web. doi:10.2172/573295.
Segalman, D.J., Fulcher, C.W.G., Reese, G.M., & Field, R.V. Jr.. An efficient method for calculating RMS von Mises stress in a random vibration environment. United States. doi:10.2172/573295.
Segalman, D.J., Fulcher, C.W.G., Reese, G.M., and Field, R.V. Jr.. Sun . "An efficient method for calculating RMS von Mises stress in a random vibration environment". United States. doi:10.2172/573295. https://www.osti.gov/servlets/purl/573295.
@article{osti_573295,
title = {An efficient method for calculating RMS von Mises stress in a random vibration environment},
author = {Segalman, D.J. and Fulcher, C.W.G. and Reese, G.M. and Field, R.V. Jr.},
abstractNote = {An efficient method is presented for calculation of RMS von Mises stresses from stress component transfer functions and the Fourier representation of random input forces. An efficient implementation of the method calculates the RMS stresses directly from the linear stress and displacement modes. The key relation presented is one suggested in past literature, but does not appear to have been previously exploited in this manner.},
doi = {10.2172/573295},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Sun Feb 01 00:00:00 EST 1998},
month = {Sun Feb 01 00:00:00 EST 1998}
}

Technical Report:

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  • An efficient method is presented for calculation of RMS von Mises stresses from stress component transfer functions and the Fourier representation of random input forces. An efficient implementation of the method calculates the RMS stresses directly from the linear stress and displacement modes. The key relation presented is one suggested in past literature, but does not appear to have been previously exploited in this manner.
  • Random vibration under preload is important in multiple endeavors, including those involving launch and re-entry. There are some methods in the literature to begin to address this problem, but there is nothing that accommodates the existence of preloads and the necessity of making probabilistic statements about the stress levels likely to be encountered. An approach to achieve to this goal is presented along with several simple illustrations.
  • The von Mises stress is often used as the metric for evaluating design margins, particularly for structures made of ductile materials. For deterministic loads, both static and dynamic, the calculation of von Mises stress is straightforward, as is the resulting calculation of reliability. For loads modeled as random processes, the task is different; the response to such loads is itself a random process and its properties must be determined in terms of those of both the loads and the system. This has been done in the past by Monte Carlo sampling of numerical realizations that reproduce the second order statisticsmore » of the problem. Here, the authors present a method that provides analytic expressions for the probability distributions of von Mises stress which can be evaluated efficiently and with good precision numerically. Further, this new approach has the important advantage of providing the asymptotic properties of the probability distribution.« less
  • Investigations into the probability distribution of bids on offshore oil and gas leases have been hindered by the small samples available for goodness-of-fit testing. One method is outlined by which sample sizes can be increased when the specific distribution of interest is the lognormal. This method is applied first to actual bidding data, and then to data generated according to various known probability distributions.