A boundary element method formulation for modal analysis of doubly curved thick shallow shells

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• 作者：J. Useche ; ^{usecheijk@yahoo.com" class="auth_mail" title="E-mail the corresponding author} ; ^{juseche@unitecnologica.edu.co" class="auth_mail" title="E-mail the corresponding author} ; C. Harnish
• 关键词：Boundary element method ; Doubly curved shallow shells ; Free vibration ; Dual reciprocity boundary element method ; Modal analysis ; Thick shells
• 刊名：Applied Mathematical Modelling
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：40
• 期：5-6
• 页码：3591-3600
• 全文大小：414 K

文摘

The study of vibrations of shells is an important aspect in the design of thin-walled structures. In general, analytical solutions for the natural frequencies of shells are not possible, and computational techniques are required. In this paper, modal analysis of shallow shells using a new boundary element method formulation is presented. The proposed formulation is based on a direct time-domain integration using the elastostatic fundamental solutions for both in-plane elasticity and shear-deformable plates. We modeled shallow shells by coupling the boundary element formulation of a shear-deformable plate and the two-dimensional plane stress elasticity. Effects of shear deformation and rotatory inertia were included in the formulation. Domain integrals related to inertial terms were treated by the dual reciprocity boundary element method. Numerical examples are presented to demonstrate the efficiency and accuracy of the proposed formulation.