The invention relates to an aerosol delivery device (A, B) comprising an aerosol generator for generating an aerosol in the aerosol delivery device (A, B). The aerosol generator comprises a membrane (1) and a vibrator (7) which is configured to vibrate a fluid (3) and to aerosolise the fluid (3) by the membrane (1). The aerosol delivery device (A, B) further comprises a fluid reservoir (2) for receiving the fluid (3) to be aerosolised, wherein the fluid reservoir (2) is arranged in fluid communication with the membrane (1). Moreover, the aerosol delivery device (A, B) comprises a controller (10) which is configured to operate the vibrator (7), by supplying an electrical drive signal to the vibrator (7), so as to vibrate the fluid (3), a phase detector (13) which is configured to detect a phase shift of the drive signal, and an evaluation unit (13a) which is configured to detect the presence of fluid (3) in contact with the membrane (1) and/or in the fluid reservoir (2) on the basis of the phase shift detected by the phase detector (13). Further, the invention relates to a method of operating such an aerosol delivery device (A, B).