A　pseudo-linear　friction　damper　including　sleeve　cylinder,　sliding　shaft　and　friction　ring　is　presented　in　this　paper.　Sliding　shaft　and　friction　ring　are　coaxially　connected　as　a　whole　body.　The　inside　diameter　in　the　central　zone　of　the　sleeve　cylinder　is　slightly　larger　than　the　other　parts,　which　means　that　a　very　shallow　groove　exists　in　the　inner　wall　of　the　sleeve　cylinder.　The　friction　ring　is　assembled　in　the　groove.　By　a　careful　design,　the　friction　ring　and　the　sleeve　are　closely　fitted　but　intact,　and　when　the　sliding　shaft　moves　relatively　to　the　sleeve,　friction　stress　develops　following　the　interaction　between　the　friction　ring　and　the　sleeve.　The　greater　the　slipping　shaft　departing　from　the　initial　location,　the　greater　the　friction　damping　force　is　induced.　Assuming　the　friction　stress　is　equal　within　in　the　zone　of　interaction,　the　damping　force　is　then　proportional　to　the　deformation　amplitude,　and　the　direction　of　damping　force　is　the　same　as　the　velocity.　The　results　of　finite　element　numerical　simulation　and　model　tests　show　that　the　damper　can　basically　realize　displacement　dependent　linear　hysteretic　damping.　The　approximate　calculation　formula　derived　from　theory　of　elasticity　can　basically　reflect　the　hysteretic　characteristics　of　the　damper　obtained　from　experiments　and　can　be　used　for　preliminary　design.