Based　on　the　good　performance　of　the　new　control　elements,　we　introduce　the　viscoelastic　model,　the　amplification　mechanism　and　the　inerter　element　into　the　dynamic　vibration　absorber　(DVA).　Then,　we　take　it　as　the　research　object　to　obtain　the　DVA　parameters　when　the　system　achieves　the　optimal　vibration　reduction　effect　based　on　the　fixed-point　theory.　Finally,　it　is　eventually　demonstrated　that　the　DVA　discussed　in　this　paper　possesses　significant　benefits　in　mitigating　vibrations,　which　provides　theoretical　basis　and　data　support　for　the　parameters　design　of　DVAs　in　engineering　application.　©　2024　Institute　of　Physics　Publishing.　All　rights　reserved.