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On Thermal Dynamic Buckling Analysis of Imperfect Laminated Cylindrical Shells
Author(s) -
Shariyat M.,
Eslami M.R.
Publication year - 2000
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/(sici)1521-4001(200003)80:3<171::aid-zamm171>3.0.co;2-0
Subject(s) - imperfect , buckling , materials science , structural engineering , thermal , composite material , engineering , physics , thermodynamics , philosophy , linguistics
Based on the general form of Green's strain tensor in curvilinear coordinates, the exact strain‐displacement expressions of an imperfect laminated composite circular cylindrical shell undergoing large deflections are developed. The resulted relations may also be used for postbuckling analysis. Employing Hamilton's variational principle, the most general three dimensional and exact integral equations of motion are introduced in a hybrid form. No assumption or simplification is made in deriving the formulations. The resulting equations are solved using a Kantorovich type power series. Dynamic buckling loads treated in this paper, include mechanical loads (axial compression, external pressure, external fluid pressure, and torsion), thermal loads, or a combination of them. The resulted equations are then solved by means of an efficient solution procedure. In contrast to the well‐known higher‐order and layer‐wise theories which are displacement‐based, due to the hybrid form of the final equations, various edge conditions (displacement, stress, force, and moment boundary conditions) can be accurately incorporated. Furthermore, in contrast to the existing 3–D elasticity approaches, the solution procedure of the present method is self‐started. Finally, few examples of the well‐known references done in the mechanical and thermal buckling of the composite circular cylindrical shells, which are based on other theories, are reexamined for comparison purposes. The results are extended to check the capability of the present theory and to enable a sensitivity analysis.