Symbolic Nonlinear Analysis of Viscoelastic Pipes
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Date
2010
Authors
Adeleye, O.A
Fakinlede, O.A
Journal Title
Journal ISSN
Volume Title
Publisher
International Conference on Innovations and Technology (IET 2011)
Abstract
In this study, a novel application domain of symbolic computation of nonlinear finite element method using a viscoelastic pipes has been presented. The problem of geometric nonlinearity due to the effect of high temperature, large displacement, small strain and moderate rotation of viscoelastic pipes was modeled and validated with numerical, symbolic and graphical computation in a unified manner called symbolic analysis. The current study has shown that the symbolic computation is effective and efficient, it saves computation time which can be seen in the symbolically integrated element-stiffness matrices in the nonlinear finite element method which by-passes time-consuming numerical quadrature operation, especially as the number of Gauss points increases. The symbolic computation also gives the analyst more visibility with respect to the solution method and the engineer can then more easily grasp the inter-relationship of the problem variables, recognize the simplification to be made and do a better and more accurate job. The computer codes of the finite element formulation used in this work was generated through the symbolic programming of the finite element computer code in AceGen and AceFEM computer program.
Description
Keywords
Viscoelastic Pipe; Nonlinear Finite Element Method; Symbolic Computation; AceGen & AceFEM
Citation
1. Adeleye, O., & Fakinlede, O., (2010) “Symbolic Nonlinear Analysis of Viscoelastic Pipes” International Conference on Innovations and Technology (IET 2011), August 8th – 10th, 2011. University of Lagos, Akoka, Lagos, Nigeria.