This　work　presents　the　dynamic　response　of　piezoelectric　and　flexoelectric　Euler–Bernoulli　beams　subjected　to　mechanical　loads　by　means　of　Green’s　functions.　Exact　solutions　in　closed　form　for　the　electromechanical　coupling　behaviors　are　derived.　The　present　solutions　will　reduce　to　those　of　classical　piezoelectric　beam　models　by　neglecting　the　flexoelectric　effect.　Numerical　results　for　a　BaTiO　3　cantilever　show　that　the　tip　deflection　of　the　beam　will　be　separated　when　the　beam　thickness　reduces　to　one　micrometer;　therefore,　pure　mechanical　experiments　can　be　used　to　determine　the　flexoelectric　effect　by　a　bending　test　under　different　electrical　boundary　conditions.　In　addition,　the　dynamic　output　voltage　under　open-circuit　condition　and　the　dynamic　output　charge　under　short-circuit　condition　are　dominated　by　the　flexoelectric　effect.　The　dynamic　output　voltage　and　charge　become　negligible　when　the　beam　thickness　reduces　to　one　micrometer.　By　reducing　the　length–thickness　ratio　or　introducing　the　effective　piezoelectric　coefficient,　the　electric　response　can　be　more　easily　detected　at　microscale.　These　results　demonstrate　that　the　flexoelectric　effect　can　be　strong　enough　to　dominate　the　electromechanical　coupling　behavior,　coordinating　with　the　‘ever　green’　trend　to　miniaturization,　and　the　flexoelectric　effect　can　be　applicable　for　energy　harvesters,　sensing,　and　others.　©　2020,　Springer-Verlag　GmbH　Austria,　part　of　Springer　Nature.