The　efficiency　of　computer　numerical　control　(CNC)　machine　tools　is　directly　associated　with　the　machine＇s　ball　screw　feed　system　(BSFS).　The　electromechanical　coupling　effect　of　the　mechanical　structure　and　the　servo　system　affects　the　system＇s　performance.　The　present　study　reported　a　mathematical　model　for　explaining　the　electromechanical　coupling　effect　by　mathematically　associating　the　servo　system　and　the　mechanical　structure　using　MATLAB/Simulink.　By　adding　a　sinusoidal　signal　as　an　input　signal　in　MATLAB/Simulink,　the　acceleration　signals　of　BSFS　were　obtained　by　adjusting　the　frequency　of　the　input　signal.　The　electromechanical　coupling　model　is　verified　by　simulation　and　experiments.　The　simulation　results　showed　that　the　frequency　and　amplitude　are　directly　related.　No　significant　difference　was　noticed　between　the　generated　＇peak＇　frequency　and　the　input　signal　frequency.　It　is　shown　that　the　errors　between　experimental　results　and　theoretical　ones　are　16.8%　and　2%,　respectively,　which　is　acceptable　and　verifies　this　established　electromechanical　coupling　model.　©　2023　IEEE.