Vibration analysis of sandwich beams with viscoelastic coating described by fractional constitutive equation
Jun Xu, Yandong Chen, Yongpeng Tai, Guodong Shi, Ning Chen
Abstract
In this study, a dynamic model of a sandwich beam with viscoelastic coating based on a fractional constitutive equation was developed. The fractional model is a generalized model of sandwich beams and can be modified into integer models. The wave propagation method was extended for vibration analysis of fractional sandwich beams. Further, the influence of fractional order and size parameters on the dynamic characteristics of the sandwich beam was investigated, and the steady-state frequency response of the laminated beam was calculated. The results can provide a theoretical basis for the size design of laminated beams with damping requirements.
Topics & Concepts
ViscoelasticityConstitutive equationBeam (structure)Materials scienceVibrationFractional calculusCoatingStructural engineeringMechanicsFinite element methodComposite materialPhysicsMathematical analysisMathematicsEngineeringAcousticsComposite Structure Analysis and OptimizationFractional Differential Equations SolutionsNonlocal and gradient elasticity in micro/nano structures