The　Z-type　folding　plate　is　a　kind　of　complex　multi-body　structure,　which　is　widely　applied　to　many　engineering　fields.　Based　on　the　classical　laminated　plate　theory　and　the　von　Karman　type　equation,　the　nonlinear　dynamic　equations　of　the　Z-type　folding　plates　are　obtained　by　using　the　Hamilton＇s　principle.　The　mode　functions　of　the　Z-type　folding　plates　are　analyzed　with　the　ANSYS.　Then,　the　Galerk　in　procedure　is　used　to　obtain　the　normal　differential　governing　equations　of　the　nonlinear　system.　The　case　of　primary　parametric　resonance　12　inner　resonance　is　considered.　Based　on　the　averaged　equation　obtained　with　the　method　of　multiple　scales,　the　numerical　simulation　is　performed　to　indicate　the　nonlinear　dynamical　characteristics　of　the　system.　©　2018,　Nanjing　Univ.　of　Aeronautics　an　Astronautics.　All　right　reserved.