Being forced to dance at a bar or night club despite repeated saying no by your girlfriend or an otherwise unusually hot woman you think you have a chance with.
I was so drunk last night and didn't want to dance at all, but then my girlfriend forced me to dance by threatening to not have sex with me if I didn't go with her. She totally dance raped me.
When someone purchases a lap dance for an unwilling recipient, or when the dancer of the aforementioned dance is undesirable in body type, gender, ethnicity, or hygiene.
"I just bought Mike a rape dance from that humongous stripper over there, he's going to be pissed."
or
"Honey, I know I promised that I would not buy a lap dance - but my friend pooled their money and got me a rape dance"