The Collaborative International Dictionary of English v.0.48:

Traipse \Traipse\, v. i. [Cf. G. trapsen, trappsen, trappen, to
   tread noisily, to walk stamping. See Trample, Trape.]
   To walk or run about in a slatternly, careless, or
   thoughtless manner. [Colloq.] --Pope.
   [1913 Webster] Trais

WordNet (r) 3.0 (2006):

traipse
    v 1: walk or tramp about [syn: traipse, shlep]