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Choice of basis for simulation of ETL wire by the Galerkin method
Engineering Education # 09, September 2013
DOI: 10.7463/0913.0602290
A problem of building a system of base functions suitable for solving motion equations of a wire by the Galerkin method was considered in this paper. Dependence of the peak-to-peak amplitude of oscillations on the number of base functions was studied by a test example. Two sets of wire parameters were considered; wire motion is qualitatively different for these sets. Use of one base function in each direction is reasonable for a taut wire and it leads to an error less than 4 %. For a slack wire usage of not less than six base functions is required for correct simulation of wire motion.
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