Oscillation frequency of simplified arterial tubes

Abstract

To construct the spatial kinetic equation of an arterial tube and obtain its radial natural frequency, a linear-elastic and small deformation condition is assumed. The theoretical analysis is first presented and the finite element method is then used to numerically simulate the spatial kinematics. The results show that the first-order frequency is 15.8 Hz and the obtained exact analytical solutions agree well with numerical solutions, which proves that the theoretical analysis and numerical simulation are both correct.

Keywords

spatial kinematics / natural frequency / finite element method

References

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Acknowledgements

This study was supported by the National Natural Science Foundation of China (Grant No. 10372010).

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2014 Higher Education Press and Springer-Verlag Berlin Heidelberg