Suki B, Csendes T, Daróczy B
Kalmár Laboratory of Cybernetics, József Attila University, Szeged, Hungary.
Med Biol Eng Comput. 1990 Jul;28(4):367-73. doi: 10.1007/BF02446156.
In the paper the equation of motion of the small amplitude transverse forced vibration of a radially prestressed and circularly clamped thin membrane has been developed. The material of the membrane is considered to be homogeneous, isotropic, incompressible and viscoelastic. From the analytical solution of this equation the incremental mechanical impedance of the membrane was derived as a function of frequency, geometrical parameters and incremental viscoelastic coefficients of the material. The parameters of the model were fitted to experimental impedance data using a global optimisation procedure to obtain the incremental viscoelastic moduli of the canine diaphragm. The estimated quasi-static behaviour of the model is shown to be consistent with the results of experimental quasi-static measurements. It is concluded that the incremental viscoelastic moduli of a soft tissue and the stress dependence of these material coefficients can be determined by fitting the parameters of the model to the impedance data of that particular tissue.
本文推导了径向预应力和圆周夹紧薄膜小振幅横向强迫振动的运动方程。薄膜材料被认为是均匀、各向同性、不可压缩和粘弹性的。从该方程的解析解中，推导出薄膜的增量机械阻抗作为频率、几何参数和材料增量粘弹性系数的函数。使用全局优化程序将模型参数拟合到实验阻抗数据，以获得犬膈肌的增量粘弹性模量。模型的估计准静态行为与实验准静态测量结果一致。得出结论，通过将模型参数拟合到特定组织的阻抗数据，可以确定软组织的增量粘弹性模量以及这些材料系数的应力依赖性。
