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A finite element formulation for the large deflection random response of thermally buckled beamsThe effects of temperature and acoustic loading are included in a theoretical finite element large deflection formulation for thin, isotropic beams. Thermal loads are applied as steady-state temperature distributions, and acoustic loads are taken to be ergodic and Gaussian with zero mean and uniform magnitude and phase along the length of the beam. Material properties are considered presently to be independent of temperature. Also, inplane and rotary inertia terms are assumed to be negligible, and all inplane edge conditions are taken to be immovable. For the random response analysis, both auto- and cross-correlation terms are included. The nature of the loads leads to the solution of two separate problems. First, the problem of thermal postbuckling is solved to determine the deflections and stresses due to the thermal load only. These deflections and stresses are then used as initial deflections and stresses for the random vibration analysis. Root-mean-square (RMS) maximum deflections and strains are obtained and compared with previous classical equivalent linearization results.
Document ID
19890043458
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Locke, James
(NASA Langley Research Center Hampton, VA, United States)
Mei, Chuh
(Old Dominion University Norfolk, VA, United States)
Date Acquired
August 14, 2013
Publication Date
January 1, 1989
Subject Category
Structural Mechanics
Report/Patent Number
AIAA PAPER 89-1354
Meeting Information
Meeting: AIAA, ASME, ASCE, AHS, and ASC, Structures, Structural Dynamics and Materials Conference
Location: Mobile, AL
Country: United States
Start Date: April 3, 1989
End Date: April 5, 1989
Accession Number
89A30829
Funding Number(s)
CONTRACT_GRANT: NAG1-838
Distribution Limits
Public
Copyright
Other

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