drape (something or oneself) over (someone or something)
1. To lay on a piece of furniture, usually with one's limbs splayed. In this usage, a reflexive pronoun is used between "drape" and "over." John came in and draped himself over the sofa while moaning about his ex-girlfriend. I was so exhausted from traveling that I draped myself over the bed as soon as I got to my hotel room.
2. To loosely place something over someone or something. In this usage, a noun or pronoun is used between "drape" and "over." It wasn't as cold out when I left the theater, so I just draped my coat over my shoulders.
drape oneself over something
to sprawl on a piece of furniture. He draped himself over the armchair and dropped off to sleep. He came in and casually draped himself over grandmother's antique chair.