A derivative of the verb "to Frape".
A combination of the words "rape" and "dropbox".
To drape someone is to "mischieviously" flood a shared dropbox folder with files,mp3s or pictures, inevitably causing the drapee's dropbox account to reach its limit and fucking up the rest of their projects until they can free up the space again.
"Goddammit, Chester just filled my dropbox with Rick Astley mp3s. That dumb bastard draped me!"