Abstract
A mathematical model with complex moduli for describing the behavior of viscoelastic materials under stationary two-frequency vibrations is offered. The model allows one to take into account nonlinear viscoelastic effects (dependence of dynamic moduli on a static prestrain and strain amplitude). A method for determining the dynamic deformation properties of viscoelastic materials (in the form of complex moduli) under two-frequency loadings is developed, and its basic stages are described. The method allows one to describe the behavior of the material under different amplitudes and frequency ratios of two-frequency loads. Experimental investigations into two-frequency uniaxial deformations of a highly filled low-modulus viscoelastic polymer composite were carried out. Experimental results are processed and analyzed by using the method developed.
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