気道モデルに対する動的粘弾性座屈解析(機械力学,計測,自動制御)

概要

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In order to elucidate the mechanism of airway narrowing occurred in asthma, dynamic buckling analysis of airway wall was performed. The wall was modeled by visco-elastic thin-walled circular cylinder and the Voigt model for plane-stress state was used. Governing equation for the dynamic buckling was derived where the contraction of smooth muscle was replaced by uniform inward transmural pressure. The non-dimensional parameters for the circumferential lobe number n induced by the buckling were non-dimensional retardation time τ^^〜, non-dimensional increasing speed of inward transmural pressure β^^〜, thickness radius ratio α^2, radius length ratio η, density ratio ζ and Poisson's ratio ν. The validity of the theoretical model was confirmed by comparing the calculated lobe number with those obtained by experiment, in which silicone rubber tube blended with silicone potting gel was used as in vitro airway model. The lobe number n increases with β^^〜, it is necessary to take into account the damping effect of the tube model or airway wall, and n increases due to additional mass surrounding the basement membrane in airway wall.
2009-02-25