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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.. 1998. "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 = 1998,
month = 2
}

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 random-force equation, a simplified, stochastic, Lagrangian equation for the lateral component of the motion of a diffusing air particle, is applied to the analysis of short-range, short-time-averaged, horizontal atmospheric diffusion data. The velocity autocovariance and the velocity variance of the diffusing particle are derived and found to vary with the diffusion time, t. The normalized velocity autocorrelation function formed from these quantities is found to be a stationary exponential function of lag time. The corresponding energy spectrum of the particle's motion has the form of (frequency)/sup -2/, over a broad high-frequency range. All these particle statistics, as well asmore » the root mean square displacement of the particle about its mean position, i.e., the instantaneous plume spreading, sigma/sub y/(t), depend on three atmospheric flow parameters: the total turbulent energy, v/sup 2/; the Lagrangian integral time scale, t/sub L/; and the initial velocity of the particle at the source point, v/sub 0/. By averaging the equation for sigma/sub y/, and the variance function, sigma/sub v//sup 2/(t), over a time equal to that of the standard, low-level, short-range atmospheric diffusion experiments, an analytical expression is deduced for the plume shape-factor, f/sub 1/, in the equation sigma/sub y/ = sigma/sub v/tf/sub 1/, which has often been used to correlate the results of such experiments. Results indicate that large-scale, quasi-horizontal atmospheric turbulent motions influence the shape and concentration patterns of diffusing plumes in the planetary boundary layer, even when these are averaged over time periods of up to an hour. The controlling role of tropospheric, turbulent, kinetic-energy transfer in this process is briefly discussed.« less
  • The software used to perform sinusoidal vibration and random vibration has been evaluated. The effects of changing the parameters in the test setups have been studied. In doing this, the capabilities and limitations of the software have been noted and documented in the operating procedures for the systems. By documenting the software capabilities and limitations, the operation has been improved by avoiding operations that are not possible with the current software. The operation has also been improved through a better understanding of the effects of test parameter changes. The procedure for performing random vibration has been updated. A procedure formore » performing sinusoidal vibration has been issued.« less