A　class　of　bipolar　electrostatically　actuated　micro-resonators　is　presented　in　this　paper.　Two　parametric　equations　are　proposed　for　changing　the　microbeam　shape　of　the　upper　and　lower　sections.　The　mechanical　properties　of　a　micro-resonator　can　be　enhanced　by　optimizing　the　two　section　parameters.　The　electrostatic　force　nonlinearity,　neutral　surface　tension,　and　neutral　surface　bending　are　considered　in　the　model.　First,　the　theoretical　results　are　verified　with　finite　element　results　from　COMSOL　Multiphysics　simulations.　The　influence　of　section　variation　on　the　electrostatic　force,　pull-in　behaviors　and　safe　working　area　of　the　micro-resonator　are　studied.　Moreover,　the　impact　of　residual　stress　on　pull-in　voltage　is　discussed.　The　multi-scale　method　(MMS)　is　used　to　further　study　the　vibration　of　the　microbeam　near　equilibrium,　and　the　relationship　between　the　two　section　parameters　of　the　microbeam　under　linear　vibration　was　determined.　The　vibration　amplitude　and　resonance　frequency　are　investigated　when　the　two　section　parameters　satisfy　the　linear　vibration.　In　order　to　research　dynamic　analysis　under　the　case　of　large　amplitude.　The　Simulink　dynamics　simulation　was　used　to　study　the　influence　of　section　variation　on　the　response　frequency.　It　is　found　that　electrostatic　softening　increases　as　the　vibration　amplitude　increases.　If　the　nonlinearity　initially　shows　hardening　behavior,　the　frequency　response　will　shift　from　hardening　to　softening　as　the　amplitude　increases.　The　position　of　softening-hardening　transition　point　decreases　with　the　increase　of　residual　stress.　The　relationship　between　DC　voltage,　section　parameters,　and　softening-hardening　transition　points　is　presented.　The　accuracy　of　the　results　is　verified　using　theoretical,　numerical,　and　finite　element　methods.