Geometric　dimension　significantly　affects　the　stable　configuration　and　thereby　the　nonlinear　dynamic　response　of　bistable　composite　laminate.　Previous　studies　have　not　focused　on　the　minimum　dynamic　snap-through　excitation　of　stable　configuration　transformation.　This　paper　aims　to　address　this　gap　by　taking　into　account　the　effect　of　curvature　on　the　bistable　composite　laminate　with　different　geometric　dimensions.　The　room-temperature　equilibrium　stable　states　of　unsymmetric　composite　plates　are　obtained　by　cooling　down　from　the　cured　temperature　with　variable　curvatures.　The　governing　equations　are　established　by　the　first-order　shear　deformation　theory,　von　Karman　type　nonlinear　strain-displacement　relation,　and　Rayleigh-Ritz　method.　The　single-　and　double-well　vibration　mechanism　are　explored　by　solving　the　nonlinear　equations　via　fourth-order　Runge-Kutta　method,　and　are　visualized　by　bifurcation　diagram,　phase　portrait,　time　history,　Poincare　maps　and　amplitude　spectrum.　The　evolution　of　the　dynamic　response　under　the　foundation　excitation　is　estimated,　and　the　effect　of　geometric　dimension　on　the　intra-　and　inter-well　oscillation　behaviors　are　illustrated　in　detail　via　theoretical　model.　Numerical　results　with　finite　element　method　are　also　obtained　qualitatively　consistent　with　the　theoretical　results.　In　view　of　the　efficiency　of　the　theoretical　model,　various　geometric　dimensions　are　considered　to　elucidate　the　universality　of　the　vibration　evolution.　The　nonlinear　phenomenon　that　emerged　in　the　dynamic　response　of　composite　structures　provides　a　conceptual　design　of　energy　harvester　and　adaptive　structure.