Stacking dissimilar antennas or tribanders, can be accomplished.
See my website for some customers that have done it succesfully.
In general, I agree with Dan, N6BZA. You must bring the driven elements into phase with each other.
Sometimes this can be done by flipping the balun 180 degrees, most of the time it can be accomplished by adjusting one of the feedline lengths to accomplish the 0 phase relationship. An O-scope is a good way to do this.
But it can also be done with an S -meter and some calculations of driven element compensation, and some trial and error.
It is not neccessary to have 3 different lengths of phase lines switched out from band to band. Usually the driven element(s) are close enouph together that the distances are all the same or very close to being the same. So a single delay line is all that is neccessary for all 3 bands. What we are doing is compensating for a time mis-aliengnent with distance that is not dependant of the frequency. The speed of light is the same on different bands.
I have found computer modelling to be not up to the task of actually giving us a good model of a matching device, unless its very simple like a split feed. Aluminum tubes of different lengths and diameters, close together, with right angle bends just do not model well.
Now for a little different twist:
It may be actually to the benifit of the stacker to create a phase difference in a stack of antennas to broaden the forward projected lobe. This will take advantage of all the angles of propogation vs making a small very narrow lobe. The sacrifice is a little gain, but by filling in a null in the pattern you can see 10-20 db or more of "recovered gain" for this particular take off angle. Its good to be able to switch the antennas around to change the angles, but its also may be of advantage for some skip conditions to actually "slur" the pattern into wider lobes by introducting phase delay into one of the beams.
I am gratefull for WA2VJN for pointing this out to me, and plan on putting it into my Stacking presentations as well as an application note on my web-site.
I hope this helps someone to not throw out the baby with the bath water.
Jay, WX0B