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Free Vibration Analysis of Double Curvature Thin Walled Structures by a B-Spline Finite Element Approach

[+] Author Affiliations
Antonio Carminelli, Giuseppe Catania

University of Bologna, Bologna, Italy

Paper No. IMECE2007-41904, pp. 139-145; 7 pages
doi:10.1115/IMECE2007-41904
From:
  • ASME 2007 International Mechanical Engineering Congress and Exposition
  • Volume 12: New Developments in Simulation Methods and Software for Engineering Applications
  • Seattle, Washington, USA, November 11–15, 2007
  • Conference Sponsors: ASME
  • ISBN: 0-7918-4306-8 | eISBN: 0-7918-3812-9
  • Copyright © 2007 by ASME

abstract

This paper presents a free vibration analysis of general double curvature shell structures using B-spline shape functions and a refinement technique. The shell formulation is developed following the well known Ahmad degenerate approach including the effect of the shear deformation. The formulation is not isoparametric, as a consequence the assumed displacement field is described through non-uniform B-spline functions of any degree. A solution refinement technique is considered by means of a high continuity p-method approach. The eigensolution of a plate, and of single and double curvature shells are obtained by numerical simulation to test the performance of the approach. Solutions are compared with other available analytical and numerical solutions, and discussion follows.

Copyright © 2007 by ASME

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