V.G.Basovsky, I.V.Vovk
Eigen frequencies and eigen vibration modes of cartilages of human trachea and bronchuses

Acoustic bulletin, Vol. 5 ¹ 3, (2002) p.5-11
The analysis of geometrical and physical characteristics of cartilages of human trachea and main bronchuses is conducted. Mechanical models, that represent the cartilages as the circle rods of constant cross-section with free ends, are developed. An algorithm for estimation of eigen frequencies and forms of cartrilages' vibration on the basis of the theory of bending oscillations of the circle rods is developed. Several lowest eigen frequencies and forms of cartilages' vibrations are estimated. Specifically, it is found that two lowest eigen frequencies of tracheal and bronchial cartilages are 60.7 and 168.7 Hz, respectively, and their first vibrational forms have three anti-phase segments and two nodes.
KEY WORDS:
trachea, large bronchi, annular cartilage, eigen frequency, vibrational form
TEXT LANGUAGE: Russian