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nonlinear damping of tissues

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  • nonlinear damping of tissues


    I am working on computer simulations of the vibration of the human vocal
    folds. For the simulations, each vocal fold is modelled as two coupled
    mass-damper-stiffness system (two-mass model, Ishizaka and Flanagan,
    1972). This model assumes a linear damping proportional to the fold
    velocity ( with a term rv, where r is the damping coefficient and v the
    fold velocity). However, I have noted that I get better results if I
    replace this linear term by a nonlinear one of the form r(1+k|x|)v (or
    also r(1+kx^2)v), where k is a coefficient and x is the fold displacement.
    Now, this is only an observation from computer simulations, so I wonder if
    there is some experimental evidence on tisue biomechanics which might
    provide some support for using this kind of nonlinear damping. I have
    checked the literature I have without success; so, could anyone help me
    with some references (if available) or suggestions?

    Thanks in advance,


    Jorge C. Lucero
    Department of Mathematics
    University of Brasilia

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