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Keywords: free vibration, cone, sphere, shell panel, Bezier, algebraic polynomial.

Summary

Open shells of revolution such as cylindrical, conical and spherical panels have a wide range of applications in aerospace and other engineering fields. The literature review reveals that vibrations of open circular cylindrical shells have been investigated by a vast number of researchers using both closed-form and numerical solution methods. The free vibration analysis of open conical shells has received limited attention and only a few publications are available on the spherical shell vibration. These problems have been dealt with in situations where many different combinations of clamped, free and simply-supported boundary conditions are applied to the full length of the boundaries. However, in modern aerospace structures, there are instances that open shell panels are supported only on portions of the boundaries. In the opinion of the authors, the work involving partial support on open shell structures has not been addressed, more specifically no study has been conducted using one or few patch (domain) solution methods. Therefore this paper addresses this deficiency by developing numerical methods using first order shear deformable thin shell theory with rotary inertia and shear deformation. Customarily, the middle surface of the shell is taken as the reference in such analyses.

Single- and multiple patch solution methods are variationally derived to analyze the free vibrations of open conical and spherical shells. The geometry and displacement fields are introduced in terms of Bezier and algebraic polynomials. In the single-patch method, there is no discretization of the middle surface and for convergence and accuracy the orders of the displacement field polynomials are increased considerably. The single patch solution method works very efficiently when the full lengths of the boundaries are constrained. The multiple patch method is seen to provide a considerable degree of flexibility and stability in the solution of the free vibration of open shells which are supported only on parts of their boundaries.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 88 PROCEEDINGS OF THE NINTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY Edited by: B.H.V. Topping and M. Papadrakakis Paper 94 Free Vibration Analysis of Open Conical and Spherical Shells Supported on Parts of the Edges S. Kandasamy and A.V. Singh Department of Mechanical and Materials Engineering, The University of Western Ontario, London, Canada doi:10.4203/ccp.88.94 purchase the full-text of this paper Full Bibliographic Reference for this paper S. Kandasamy, A.V. Singh, "Free Vibration Analysis of Open Conical and Spherical Shells Supported on Parts of the Edges", in B.H.V. Topping, M. Papadrakakis, (Editors), "Proceedings of the Ninth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 94, 2008. doi:10.4203/ccp.88.94 Keywords: free vibration, cone, sphere, shell panel, Bezier, algebraic polynomial. Summary Open shells of revolution such as cylindrical, conical and spherical panels have a wide range of applications in aerospace and other engineering fields. The literature review reveals that vibrations of open circular cylindrical shells have been investigated by a vast number of researchers using both closed-form and numerical solution methods. The free vibration analysis of open conical shells has received limited attention and only a few publications are available on the spherical shell vibration. These problems have been dealt with in situations where many different combinations of clamped, free and simply-supported boundary conditions are applied to the full length of the boundaries. However, in modern aerospace structures, there are instances that open shell panels are supported only on portions of the boundaries. In the opinion of the authors, the work involving partial support on open shell structures has not been addressed, more specifically no study has been conducted using one or few patch (domain) solution methods. Therefore this paper addresses this deficiency by developing numerical methods using first order shear deformable thin shell theory with rotary inertia and shear deformation. Customarily, the middle surface of the shell is taken as the reference in such analyses. Single- and multiple patch solution methods are variationally derived to analyze the free vibrations of open conical and spherical shells. The geometry and displacement fields are introduced in terms of Bezier and algebraic polynomials. In the single-patch method, there is no discretization of the middle surface and for convergence and accuracy the orders of the displacement field polynomials are increased considerably. The single patch solution method works very efficiently when the full lengths of the boundaries are constrained. The multiple patch method is seen to provide a considerable degree of flexibility and stability in the solution of the free vibration of open shells which are supported only on parts of their boundaries. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £145 +P&P)
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