Funnell W R, Khanna S M, Decraemer W F
Department of BioMedical Engineering, McGill University, Montréal, Québec, Canada.
J Acoust Soc Am. 1992 Apr;91(4 Pt 1):2082-90. doi: 10.1121/1.403694.
It has always been assumed that the manubrium is in effect perfectly rigid. In this paper, a more realistic model of the manubrium is incorporated into an existing finite-element model of the cat eardrum. The manubrial thickness is based on a three-dimensional reconstruction from serial histological sections. After a review of the literature, a value of 2 x 10(11) dyn cm-2 is adopted for the Young's modulus of the bone. The mode of vibration of the model is investigated for different manubrial-thickness values and it is found that a significant degree of manubrial bending occurs in the model for realistic values of manubrial thickness. As a result of the bending, the frequency response at the umbo at high frequencies displays much higher amplitudes and larger phase lags than when the manubrium is rigid. The bending will also affect the displacements transmitted to the ossicular load, and introduce significant errors into estimates of such displacements based on measurements of umbo displacement even at frequencies as low as a few kHz. Recent measurements of manubrium vibrations in the cat ear provide experimental evidence of bending.
人们一直认为锤骨实际上是完全刚性的。在本文中,一个更符合实际的锤骨模型被纳入现有的猫鼓膜有限元模型中。锤骨厚度基于连续组织学切片的三维重建。在查阅文献后,采用2×10¹¹达因·厘米⁻²作为骨的杨氏模量值。针对不同的锤骨厚度值研究了模型的振动模式,发现对于实际的锤骨厚度值,模型中会出现显著程度的锤骨弯曲。由于弯曲,在高频时鼓膜脐点处的频率响应显示出比锤骨为刚性时更高的振幅和更大的相位滞后。弯曲还会影响传递到听小骨负载的位移,并在基于鼓膜脐点位移测量对这种位移的估计中引入显著误差,即使在低至几千赫兹的频率下也是如此。最近对猫耳中锤骨振动的测量提供了弯曲的实验证据。