摘要：AbstractSlots with viscoelastic filling media increase the local damping of circular saw blade, which stabilizes the cutting process. In order to model the damping behaviour more accurately, a fractional viscoelastic model is introduced. Applying viscoelastic reciprocal theorem and eigenfunction expansion theorem leads to exact eigensolutions of the system with viscoelastic filling media. The method is applied to a circular plate with viscoelastic filling media. The comparison with a finite element simulation shows good agreement.
关键词：Keywordsfractional viscoelasticityGreen’s functionvibration of plateseigensolution
