The Collaborative International Dictionary of English v.0.48:

Drape \Drape\ (dr[=a]p), v. t. [imp. & p. p. Draped; p. pr. &
   vb. n. Draping.] [F. draper, fr. drap cloth. See 3d
   Drab.]
   1. To cover or adorn with drapery or folds of cloth, or as
      with drapery; as, to drape a bust, a building, etc.
      [1913 Webster]

            The whole people were draped professionally. --De
                                                  Quincey.
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            These starry blossoms, [of the snow] pure and white,
            Soft falling, falling, through the night,
            Have draped the woods and mere.       --Bungay.
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   2. To rail at; to banter. [Obs.] --Sir W. Temple.
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The Collaborative International Dictionary of English v.0.48:

Drape \Drape\, v. i.
   1. To make cloth. [Obs.] --Bacon.
      [1913 Webster]

   2. To design drapery, arrange its folds, etc., as for
      hangings, costumes, statues, etc.
      [1913 Webster]

WordNet (r) 3.0 (2006):

drape
    n 1: hanging cloth used as a blind (especially for a window)
         [syn: curtain, drape, drapery, mantle, pall]
    2: the manner in which fabric hangs or falls; "she adjusted the
       drape of her skirt"
    3: a sterile covering arranged over a patient's body during a
       medical examination or during surgery in order to reduce the
       possibility of contamination
    v 1: arrange in a particular way; "drape a cloth"
    2: place casually; "The cat draped herself on the sofa"
    3: cover as if with clothing; "the mountain was clothed in
       tropical trees" [syn: clothe, cloak, drape, robe]
    4: cover or dress loosely with cloth; "drape the statue with a
       sheet"

Moby Thesaurus II by Grady Ward, 1.0:

108 Moby Thesaurus words for "drape":
   adorn, apparel, array, attire, awning, bag, beach umbrella, bedeck,
   bedrape, blanket, blind, bundle up, cascade, cloak, clothe, coat,
   cover, coverage, covering, covert, coverture, cowl, cowling,
   curtain, daggle, dangle, deck, decorate, depend, dight, drabble,
   drag, draggle, drapery, dress, droop, dud, ear lobe, enclothe,
   endue, enrobe, enshroud, enswathe, envelop, enwrap, fall, festoon,
   flap, flop, flow, garb, garment, guise, habilitate, hang,
   hang down, hanger, hanging, hood, housing, invest, lap, lappet,
   light shield, lobation, lobe, lobule, lop, mantle, mask, muffle up,
   nod, ornament, pall, parasol, pend, pendant, rag out, raiment,
   robe, roll, sag, screen, shade, shader, shadow, sheathe, shelter,
   shield, shroud, spraddle, spread-eagle, sunblind, sunshade,
   swaddle, swag, swathe, swing, tapestry, tire, trail, umbrella,
   uvula, veil, vestment, weep, wrap, wrap up