Whip Stitch Bugle Bead
The thing to keep in mind when working with bugle beads is that they are made from a long piece of glass. When the bead is cut, the ends can have sharp edges which can cause your thread to fray and eventually break. If your design allows for it, you can help prevent this by adding a seed bead at each end of your bugle bead before stitching it down.
For the whip stitch, start at the upper left-hand corner and take your thread through the bead. Stitch the bead down at whatever angle you need, making sure that your stitch extends just a little bit past the length of the bugle bead.