Variable-order fractional dynamic behavior of viscoelastic damping material

Abstract Viscoelastic damping material has been widely used in engineering machinery to absorb vibration and noise. Dynamic behavior of the viscoelastic is mainly affected by temperature frequency. Classical dynamic equations have complex structures with multiple ambiguous parameters. So a novel variable-order fractional constitutive model (VOFC) established based on operator. Then are derived Laplace transform VOFC model. The thermomechanical analysis tests three-point bending mode carried out at variable temperatures frequencies, frequency spectrum behavior, i.e. loss modulus, storage modulus factor obtained. Against test data, compared classical models such as integer-order Maxwell model, constant fractional-order Kelvin-Voigt standard linear solid results show that can describe different frequencies more accurately. And simpler structure only two parameters clearly physical meaning. Finally, calculation software designed developed, which simplifies process predicting wide range.