This　paper　elaborates　on　a　morphing　bistable　laminate-macro　fiber　composite　(MFC)　assembly　with　four　simply-supported　corners.　The　potential　energy　curve,　featuring　two　wells　and　a　barrier,　is　graphically　depicted.　Due　to　the　added　stiffness　from　the　MFC,　the　two　wells　become　asymmetric,　significantly　affecting　snap-through　actuation　and　dynamic　behavior.　The　static　snap-through,　driven　by　a　single　MFC,　is　unidirectional　unless　MFCs　are　installed　on　both　the　upper　and　lower　surfaces　of　the　assembly.　Under　small　excitation　amplitudes,　the　dynamic　regimes　are　governed　by　single-well　vibrations,　with　frequency-amplitude　response　curves　displaying　linear　characteristics　corresponding　to　modes.　As　excitation　amplitude　increases,　the　response　curves　exhibit　a　softening　nonlinear　stiffness　effect,　with　hysteresis　apparent　due　to　sweep　directions.　The　snap-through　regimes　during　forward　frequency　sweeps　display　limit-cycle　oscillations　and　chaotic　snap-through,　while　backward　sweeps　reveal　limit-cycle　oscillations,　multi-period　snap-through,　and　chaotic　snap-through.　The　dynamic　regimes　correlate　with　mode　frequencies,　with　chaotic　snap-through　occurring　at　or　near　the　reduced　resonance　frequency.　Limit-cycle　oscillations　during　backward　sweeps　are　observed　near　low　and　high　mode　frequencies　on　both　sides　of　the　reduced　resonance　frequency.　The　bandwidth　of　each　dynamic　regime　expands　with　increased　actuation　amplitude.　The　MFC　induces　both　transversal　and　parametric　excitations,　leading　to　deviations　from　conventional　predictions　where　bistable　structures　are　actuated　solely　by　transversal　excitations.　©　2024　Elsevier　Masson　SAS