Purpose:　Nowadays,　traditional　piezoelectric　and　piezomagnetic　materials　can　no　longer　meet　the　diverse　requirements　in　engineering.　At　this　time,　magneto-electric-elastic　(MEE)　materials　that　combine　piezoelectric　and　piezomagnetic　effects　at　the　nanoscale　have　emerged　as　the　times　require.　Among　them,　the　magnetoelectric　effect　of　layered　composite　materials　is　the　most　prominent.　In　addition,　they　are　easy　to　prepare　and　cost　less　relatively,　thus　becoming　a　hot　spot　in　the　research　of　magnetoelectric　materials.　The　main　purpose　is　to　analyze　the　nonlinear　vibration　behavior　of　MEE　laminated　nanostructures,　and　provide　a　theoretical　foundation　for　the　structural　design　and　practical　operation　of　MEE　laminated　nanostructures.　Methods:　By　availing　of　the　Hamilton　principle,　Galerkin　method　and　multiscale　method,　a　nonlinear　forced　vibration　model　for　the　MEE　sandwich　nanobeam　is　established　and　solved.　Results　and　Conclusion:　For　the　purpose　of　comprehensively　elucidating　the　impact　of　diverse　factors,　such　as　the　nonlocal　parameter,　upon　the　nonlinear　forced　vibration　behaviors　of　MEE　sandwich　nanobeam,　a　meticulous　investigation　into　several　distinct　cases　has　been　conducted.　It　is　important　that　the　nonlinear　amplitude　response　and　resonance　frequency　increase　with　the　nonlocal　scale,　indicating　that　the　nonlocal　parameter　highlights　the　hard　spring　property.　©　Springer　Nature　Singapore　Pte　Ltd.　2025.