A very fast temperature increase, produced by a nonuniform heat generation, induces in a simply supported, isotropic, cylindrical rod both longitudinal and flexural vibrations. This paper presents an analytical method to study these vibrations and determine the stresses they provoke. The proposed procedure relies on three main steps: an exact solution for the temperature field is first obtained, by means of Fourier–Bessel expansions; quasistatic thermal stresses are then computed as a function of the calculated temperature distribution, making use of the thermoelastic displacement potential and of the solution to the equivalent isothermal two-dimensional stress problem; finally, longitudinal and flexural vibrations excited by an equivalent thermal force and thermal bending moment are determined using the mode-summation method. The influence of thermal shock duration on the maximum value of the longitudinal dynamic stress and of the ratio between the characteristic thermal time and structural response time on the dynamic bending deflection is analyzed and discussed. Finally, a comparison between the analytical model and experimental measurements is presented. The analytical model described in this paper allows the complete evaluation, within the linear elastic domain, of quasistatic and dynamic thermal stresses induced in an isotropic cylindrical rod by rapid internal heating.
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Dynamic Response of Rapidly Heated Cylindrical Rods: Longitudinal and Flexural Behavior
Alessandro Bertarelli,
Alessandro Bertarelli
Mechanical and Materials Engineering Group, Technical Support Department,
European Organization for Nuclear Research (CERN)
, CH-1211 Geneva 23, Switzerland
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Alessandro Dallocchio,
Alessandro Dallocchio
Mechanical and Materials Engineering Group, Technical Support Department,
European Organization for Nuclear Research (CERN)
, CH-1211 Geneva 23, Switzerland; Department of Mechanical Engineering, Polytechnic University of Turin
, Corso Duca degli Abruzzi 24, 10129 Turin, Italy
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Tadeusz Kurtyka
Tadeusz Kurtyka
Mechanical and Materials Engineering Group, Technical Support Department,
European Organization for Nuclear Research (CERN)
, CH-1211 Geneva 23, Switzerland
Search for other works by this author on:
Alessandro Bertarelli
Mechanical and Materials Engineering Group, Technical Support Department,
European Organization for Nuclear Research (CERN)
, CH-1211 Geneva 23, Switzerland
Alessandro Dallocchio
Mechanical and Materials Engineering Group, Technical Support Department,
European Organization for Nuclear Research (CERN)
, CH-1211 Geneva 23, Switzerland; Department of Mechanical Engineering, Polytechnic University of Turin
, Corso Duca degli Abruzzi 24, 10129 Turin, Italy
Tadeusz Kurtyka
Mechanical and Materials Engineering Group, Technical Support Department,
European Organization for Nuclear Research (CERN)
, CH-1211 Geneva 23, SwitzerlandJ. Appl. Mech. May 2008, 75(3): 031010 (13 pages)
Published Online: April 8, 2008
Article history
Received:
February 27, 2007
Revised:
September 14, 2007
Published:
April 8, 2008
Citation
Bertarelli, A., Dallocchio, A., and Kurtyka, T. (April 8, 2008). "Dynamic Response of Rapidly Heated Cylindrical Rods: Longitudinal and Flexural Behavior." ASME. J. Appl. Mech. May 2008; 75(3): 031010. https://doi.org/10.1115/1.2839901
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