Premium
Hybrid method for transient response of circular pins
Author(s) -
Chen HanTaw
Publication year - 1990
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620290207
Subject(s) - eigenfunction , laplace transform , finite element method , laplace transform applied to differential equations , boundary value problem , mathematical analysis , mathematics , transient (computer programming) , laplace's equation , rotational symmetry , partial differential equation , thermal conduction , inverse laplace transform , green's function for the three variable laplace equation , geometry , physics , eigenvalues and eigenvectors , computer science , engineering , structural engineering , quantum mechanics , thermodynamics , operating system
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 .