A theoretical study of a method based on the “compound resonance” principle for the measurement of the dynamic Young's modulus of short staple fibers is presented. The system considered is a fixed-free cantilever spring coupled at the free end to the fiber. Representing the fiber as a Voigt element and neglecting the losses in the cantilever spring, it is shown that both the real and imaginary parts of the dynamic modulus of the fiber can be calculated from the amplitude or velocity response of the system to forced vibrations in the neighborhood of resonance.
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