An aerosol delivery device is provided that includes at least one housing, a nozzle, a piezoelectric or piezomagnetic mesh, a control component, and a transport element. The at least one housing may enclose a reservoir configured to retain an aerosol precursor composition. The nozzle may be coupled to the housing to discharge aerosol precursor composition from the reservoir. The piezoelectric or piezomagnetic mesh may comprise a piezoelectric or piezomagnetic material and a mesh. The control component may include a microprocessor coupled to and configured to drive the piezoelectric or piezomagnetic material to vibrate and cause a discharge of components of the aerosol precursor composition through the mesh and thereby produce an aerosol for inhalation by a user. And the transport element may be configured to control an amount of aerosol precursor composition delivered from the reservoir to the mesh.