Journal
THIN-WALLED STRUCTURES
Volume 85, Issue -, Pages 350-358Publisher
ELSEVIER SCI LTD
DOI: 10.1016/j.tws.2014.08.022
Keywords
Joined shells; Conical shells; Vibration; Modal testing
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Natural frequencies and mode shapes of two joined isotropic conical shells are presented in this study. The joined conical shells can be considered as the general case for joined cylindrical-conical shells, joined cylinder-plates or cone-plates, conical and cylindrical shells with stepped thicknesses and also annular plates. Governing equations are obtained using thin-walled shallow shell theory of Donnell and Hamilton's principle. The continuity conditions at the joining section of the cones are appropriate expressions among stress resultants and deformations. The equations are solved assuming trigonometric response in circumferential and series solution in meridional directions and all combinations of boundary conditions can be assumed in this method. The results are compared and validated with the available results in other investigations and also modal testing. The effects of semi-vertex angles and meridional lengths on the natural frequency and circumferential wave number of joined shells are investigated. (C) 2014 Elsevier Ltd. All rights reserved.
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