In　present　work,　a　nonlinear　functionally　graded　curved　beam　model　including　the　von　Karman　geometric　nonlinearity　is　developed　on　the　basis　of　the　third-order　shear　deformation　theory.　Due　to　incorporating　the　trapezoidal　shape　factor　in　the　proposed　model,　the　errors　caused　by　geometric　curvatures　are　eliminated.　The　governing　equations　of　motions　related　to　the　dynamics　of　curved　beams　are　derived　by　Lagrange　method　and　solved　using　a　standard　Newmark　time　iteration　procedure　in　conjunction　with　Newton-Raphson　technique.　Some　comparisons　are　performed　and　indicate　that　the　results　from　our　model　coincide　favorably　with　semi-analytical　solutions.　Afterwards,　utilizing　the　proposed　model,　the　present　investigation　focuses　on　the　nonlinear　transient　response　of　functionally　graded　multilayer　curved　beams　reinforced　by　graphene　oxide　nano-fillers　subjected　to　moving　loads.　A　modified　Halpin-Tsai　micromechanical　model　is　implemented　to　determine　the　effective　modulus　of　graphene　oxide/polymer　nanocomposite,　and　the　rule　of　mixture　is　used　to　calculate　the　mass　density　and　Poisson＇s　ratio.　The　curved　beams　are　assumed　to　rest　on　a　visco-Pasternak　foundation.　The　effects　GO　nano-fillers,　including　their　weight　fractions,　distribution　patterns　and　size　on　the　nonlinear　dynamic　responses　of　the　nanocomposite　curved　beams　subjected　to　moving　loads　are　studied.　Moreover,　the　effects　of　radius-to-span　ratios　and　visco-Pasternak　foundation　on　the　nonlinear　dynamic　response　of　curved　beams　are　also　discussed　as　subtopics.