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Dynamic Analysis of Cylindrical Shell under Hot Spot
Author(s) -
Shirakawa K.
Publication year - 1981
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19810610903
Subject(s) - shell (structure) , inertia , laplace transform , hot spot (computer programming) , quasistatic process , thermoelastic damping , dirac delta function , mechanics , thermal conduction , heat equation , field (mathematics) , fourier transform , thermal , physics , mathematics , classical mechanics , mathematical analysis , engineering , thermodynamics , mechanical engineering , computer science , pure mathematics , operating system
This paper is concerned with the dynamic analysis of a cylindrical shell subjected to a sudden change of temperature field by a hot spot at an initial state. Applying Dirac's delta function to the hot spot, the solutions are presented for the nonstationary equation of heat conduction for shell. The dynamic, thermoelastic cylindrical shell equation retaining all inertia terms are solved by employing Fourier and Laplace transforms. The solutions for a quasistatic problem enable us to discuss the singularities in thermal displacements and stresses. The importance of the dynamic effects in the practical applications is pointed out by showing some numerical examples. Shell equations employed in this study are those of Flügge and Donnell with the addition of thermal effects.