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Frontiers of Mechanical Engineering >> 2009, Volume 4, Issue 3 doi: 10.1007/s11465-009-0038-5

Oscillation frequency of simplified arterial tubes

College of Mechanical Engineering and Applied Electronics Technology, Beijing University of Technology, Beijing 100124, China

Available online: 2009-09-05

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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.

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