Abstract
A mathematical modeling for breathing vibration problem of vascular stent is presented. The vascular stent is considered in structure as an elastic cylindrical lattice shell, in which the cell element is treated as a spatial frame structure. Based on the force equilibrium and the deformation geometry analysis for the cell element, calculative formulae for effective elastic parameters of the lattice shell are obtained by using homogenization method. Hence, the vascular stent is modeled as an orthogonally anisotropic thin shell. The equation of vibration for vascular stent is derived from Flügge shell theory. The computation of natural frequency of vibration is performed. The analytic results from the presented formulae are close to that from finite element method by the means of ANSYS, which validates the applicability of the presented modeling of vascular stent structures. The vibration analysis could be a useful reference for practical engineering designs of vascular stent.
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