In　order　to　research　the　effects　of　random　variation　of　steady-state　temperature　field　and　centrifugal　load　on　vibration　characteristics　of　turbine　bladed　disk,　the　certainty　analysis　of　the　vibration　characteristics　of　a　turbine　bladed　disk　under　the　steady-state　temperature　field　was　conducted　by　FEM　(Finite　Element　Method).　Based　on　this,　the　probabilistic　analysis　of　the　vibration　characteristics　of　the　bladed　disk　was　performed　by　adopting　quadratic　response　surface　method　with　cross　terms.　The　probability　distribution　of　the　vibration　characteristics　of　the　bladed　disk　under　steady-state　temperature　field　was　obtained　and　the　influence　of　random　variables　such　as　temperature　field　and　centrifugal　load　on　the　modal　frequency　of　the　random　vibration　of　the　bladed　disk　was　presented.　Finally,　according　to　the　reference　state　of　resonance　and　Campbell　chart,　considering　the　correlation　of　speed　and　rotor　vibration　frequency,　the　theory　of　avoiding　resonance　analysis　of　the　random　vibration　of　the　bladed　disk　was　proposed,　and　the　analysis　was　carried　out　under　several　typical　operating　conditions.　The　results　show　that　random　parameters　of　3%　variance　will　lead　to　over　50%　extension　of　the　resonance　speed　region　of　the　bladed　disk　and　the　overlapping　of　multiple　resonance　speed　regions.　©　2017,　Editorial　Department　of　Journal　of　Propulsion　Technology.　All　right　reserved.