Vibrations of complex shells of revolution using B-spline finite elements

✍ Scribed by Ayech Benjeddou

• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 224 KB
• Volume: 74
• Category: Article
• ISSN: 0045-7949
• DOI: 10.1016/s0045-7949(99)00060-7

✦ Synopsis

This paper presents and evaluates a local±global B-spline ®nite element method for the modal analysis of joined thin shells of revolution. Each shell component is modelled by a super element. For smooth meridian, local displacements of the shell middle surface and their ®rst derivatives are matched at the junction. However, for discontinuous shells, the C 1 continuity of tangential displacements is relaxed and a local to global frame transformation is applied for normal and longitudinal displacements. The super element formulation in local±global frame reference and the minimum number of degrees of freedom (three nodal displacements augmented by the bending rotation at the joints only), provided by the uniform cubic B-spline interpolation, are the main originalities of the present work. Eciency and accuracy of the proposed technique are evaluated through various well known two-branch shell combinations. Results are compared to analytical, experimental and numerical solutions found in the literature. A very satisfactory behaviour of the approach was observed.