Abstract
On the basis of the medical and mechanical analysis and explanations in this paper the visco-elastic simply supported beam model is proposed to treat the displacement wave of the blood vessels. The relationships between the displacement wave and blood vessel elasticity as well as the viscous dissipation of the blood and blood vessel are obtained. The corresponding relations of such kinds of pulses in the traditional Chinese medicine as smooth pulse, surface pulse and deep pulse to the displacement waves of blood vessels are also found. The computational results are in good agreement with those acquired in the experiments with ultrasonic wave.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Euler, L.,Apud Eggers et Socios,2 (1862), 814–823.
Liu Z.R., et al., An Analysis of the pulsatile wave at radial artery (I), (II),Shanghai Mechanics,1, 1 (1980), 12–22;1, 3 (1980), 28–36. (in Chinese)
Liu Z.R. and C.C. Lee, An analysis of pulse diagram,Scientia Sinica, Ser.B, 2 (1983).
Zhao, R.W., A discussion of the artery pulse and its formation mechanism by means of echocardiagram ofM type,Journal of Physical Medicine Sinica,4 (1983). (in Chinese)
Wu, W.Y. and F. Yuan, The displacement wave of the blood vessel—A new explanation of the pulse condition,Acta Mechanica Sinica,17, 3 (1985). (in Chinese)
Author information
Authors and Affiliations
Additional information
The Projects Supported by National Science Fundation of China.
Rights and permissions
About this article
Cite this article
Fan, Y., Wang-yi, W. The displacement wave theory of blood vessel. Appl Math Mech 10, 487–493 (1989). https://doi.org/10.1007/BF02017892
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02017892