BackgroundAs　a　random　search　algorithm　based　on　natural　phenomena　and　biological　intelligence,　swarm　intelligence　optimization　algorithm　could　provide　a　new　solution　for　combinatorial　optimization　problems　on　the　basis　of　traditional　techniques.　The　particle　swarm　algorithm　which　simulates　the　foraging　behavior　of　birds　has　achieved　good　results　in　finding　the　global　optimal　solution.PurposeIn　this　paper,　a　kind　of　viscoelastic　Maxwell　type　dynamic　vibration　absorber　model　with　inerter　is　investigated　under　the　combination　of　traditional　theory　and　intelligence　algorithm.MethodsThe　optimization　design　of　DVA　considers　the　H　infinity\documentclass[12pt]{minimal}　\usepackage{amsmath}　\usepackage{wasysym}　\usepackage{amsfonts}　\usepackage{amssymb}　\usepackage{amsbsy}　\usepackage{mathrsfs}　\usepackage{upgreek}　\setlength{\oddsidemargin}{-69pt}　\begin{document}$$\varvec{H_{\infty　}}$$\end{document}　optimization　criterion.　Based　on　the　basic　optimal　expressions　of　the　system　parameters　obtained　by　the　fixed　point　theory,　we　innovatively　introduce　the　particle　swarm　intelligence　algorithm,　and　comprehensively　analyze　all　the　optimization　situations　of　single　variables　and　combined　variables.　It　is　proved　that　the　algorithm　can　actively　adjust　the　parameter　values　to　minimize　the　maximum　amplitude.　Furthermore,　the　fourth　order　Runge-Kutta　method　is　used　to　simulate　the　numerical　solution　and　the　analytical　solution　to　verify　the　parameter　values.ResultsThe　numerical　results　present　the　consistency　and　effectiveness　of　the　analytical　solution　and　the　numerical　solution.　Compared　with　other　classical　models,　the　amplitude　frequency　responses,　time　histories　and　vibration　reduction　effect　of　the　primary　system　of　different　models　under　harmonic　excitation　and　random　excitation　are　studied.ConclusionsNumerical　simulations　of　the　displacement　variance　and　attenuation　ratio　of　the　primary　system　during　dynamic　time　comparisons　with　different　DVAs　indicate　that　the　DVA　presented　in　this　paper　has　more　satisfactory　control　performance.　The　inerter　element　can　indeed　provide　a　favorable　effect　for　the　vibration　reduction　of　absorber.　The　combination　of　basic　theory　and　intelligent　algorithm　of　active　regulation　to　solve　the　vibration　control　in　engineering　application　field　is　the　biggest　innovation.　The　research　results　could　provide　theoretical　and　calculation　basis　for　the　optimal　design　of　vibration　absorber.