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Development of thin shell equations for reactor subassembly dynamics
Author(s) -
G. P. DeVault,
P Blewett
Publication year - 1976
Publication title -
osti oai (u.s. department of energy office of scientific and technical information)
Language(s) - English
Resource type - Reports
DOI - 10.2172/4032076
Subject(s) - shell (structure) , dynamics (music) , pulse (music) , equations of motion , mechanics , thermal , classical mechanics , motion (physics) , mathematics , mathematical analysis , physics , engineering , mechanical engineering , optics , thermodynamics , acoustics , detector
By means of Hamilton's principle the elastic equations of motion for thin cylindrical shells are developed. Explicitly included in these equations are the possibilities of loading due to interior pressure pulses and to thermal stresses. A test problem is considered for the case of a uniform pressure pulse traveling along the axis; an exact analytic solution is compared with the results found by a finite-difference method. The two solutions agree within 1 percent; which agreement is satisfactory for present purposes

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