Most membranophones are drums. Hornbostel-Sachs divides drums into three main types: struck drums, where the skin is hit with a stick, the hand, or something else; string drums, where a knotted string attached to the drum's skin is pulled, passing its vibrations onto the skin; and friction drums, where some sort of rubbing motion causes the skin to vibrate (a common type has a stick passing through a hole in the skin which is pulled back and forth).
In addition to drums, there is another kind of membranophone, called the singing membranophone, of which the best known type is the kazoo. These instruments modify a sound produced by something else, commonly the human voice, by having a skin vibrate with it.
Cylindrical drums are straight-sided, and generally two-headed. A buzzing, percussive string is sometimes used. Examples include the bass drum and the Iranian dohol.
Conical drums are sloped on the sides, and are usually one-headed. Examples include the Indian tabla and the Venezuelan chimbangueles.
A timpani is a kind of kettle drum
A cuica is a kind of friction drum
Barrel drums are normally one-headed, and may be open at the bottom. They bulge in the middle. Examples include the Dhak from eastern parts of India, bendre, made by the Mossi of Burkina Faso out of a large calabash, and the trong chau of Vietnam.
Hourglass drums (or waisted drums) are hourglass-shaped and generally two-headed. The drumheads are laced onto the body, and the laces may be squeezed during performance to alter the drum's pitch. Examples include folk drums in India (like the damaru) and much of Africa, as well as some talking drums.
Goblet drums (or chalice drums) are one-headed and goblet shaped, and are usually open at the bottom. Examples include the Arab darabukka, and a range of similar instruments from Armenia, Azerbaijan, Africa, Southeastern Europe and the Middle East.
Footed drums are single-headed and are held above the ground by feet. The space between the drum and the ground provides extra resonance. Examples include a range of East African and Polynesian drums.
Long drums are a diverse category, characterized by extreme length. Examples include the single-headed hollow tree trunk drums of Africa and the ornately carved and dyed gufalo of the Nuna in Burkina Faso.
Kettle drums (or pot drums or vessel drums) are frequently played in pairs, and have a vessel or pot body, are one-headed and usually tuned to a specific note. Examples include the timpani and tabla.
The predrum category consists of simple drum-like percussion instruments. These include the ground drum, which, in its most common form, consists of an animal skin stretched over a hole in the ground, and the pot drum, made from a simple pot.