Constructing cross sectional area of vibrating rod using two spectra

کد مقاله : 1013-SLAA10

نویسندگان

حنیف میرزائی * عضو هیئت علمی

چکیده مقاله

‎In this research‎, ‎the construction of non-symmetric cross sectional area of vibrating rod is proposed‎. ‎For this purpose‎, ‎using finite difference method‎, ‎we discretized the rod equation to a Jacobi matrix eigenvalue problem‎. ‎Then with correction of given spectra and using Lancsoz method‎, ‎we construct the Jacobi matrix‎. ‎Finally‎, ‎according to the relation between the entries of Jacobi matrix and cross sectional area‎, ‎we obtain the cross sectional area at different points‎. ‎Some numerical examples are given‎.

کلیدواژه ها

Rod equation‎, ‎Lancsoz method‎, ‎Discretization‎, ‎Jacobi matrix

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