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The Axisymmetric Response of a Complete Cylindrical Shell to Shock Loads
Author(s) -
Stadler W.,
Wang J. T. S.
Publication year - 1967
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.19670470702
Subject(s) - shell (structure) , rotational symmetry , boundary value problem , mechanics , shock (circulatory) , shell theory , bending , spherical shell , physics , mathematics , mathematical analysis , materials science , composite material , medicine , thermodynamics
The bending theory of thin shells is used to obtain the dynamic response of a complete cylindrical shell of finite length. The shell is subjected to axisymmetric dynamic loads, normal to the shell surface. The effects of the inertial load in the longitudinal direction are assumed to be negligible. The general solution is exact within the theory, and it is presented in a concise form, which simplifies its application to specific boundary‐value problems. The natural frequencies are calculated from transcendental equations obtained by the application of the respective boundary conditions to the general solution. An illustrative example of a clamped cylindrical shell subjected to a uniform shock with linear decay is presented, including numerical results.