Hybrid method for transient response of circular pins

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Abstract

The combined application of the Laplace transform and the finite element method is used to analyse the transient response of circular pins. The present method removes the time‐dependence terms from the governing differential equations and boundary conditions using the Laplace transform and then the eigenfunction expansion method is applied to reduce the two‐dimensional boundary value problem to that of one dimension. Accordingly, the final transformed equation can easily be solved by the finite element method. The transformed temperature is inverted to the physical quantity numerically. The present results agree well with analytical solutions. In addition, it is seen that the results of axisymmetric transient heat conduction problems with the central node at r = 0 can accurately be obtained using the present method.

Original languageEnglish
Pages (from-to)303-314
Number of pages12
JournalInternational Journal for Numerical Methods in Engineering
Volume29
Issue number2
DOIs
Publication statusPublished - 1990 Jan 1

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Engineering(all)
  • Applied Mathematics

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