http://www.goarchers.org.uk/mechanics/index.htm I drag this tired old link out too frequently perhaps, but it's the only one I've found. Tapley does a good job putting the dry science (Kooi predominantly) into terms we can understand. The website format has changed recently. Find the menu on [Bow Mechanic], which I could not see until I positioned the mouse pointer over it, left of [Arrow Vibration].
In particular the [Tiller] menu (not the Static v Dynamic] submenu, helped me to understand the physics behind, the purpose of "positive tiller." I have concluded, perhaps or even probably incorrectly, one uses some combination of either arrow pass at center (commonly mislabeled "shorter" lower limb) or positive tiller. This is to say the more offset above dimensional center the arrow pass, but more appropriately the nock point or where the arrow bisects the string, the more positive tiller is required to balance this inherent asymetry.
Very interesting discussions and theoretical findings about stiffer outer limbs, and it's benefit related to limiting vibration or distortion of the limb on the power stroke recently in the flight shooter area. Re-enforces what we already know about string angle, stiff outer limbs is generally good. On the other hand, the ever present trade off, is stiff outer limbs are relatively heavy, contributing to vibration in handshock and lost efficiency from KE left in the limbs. Best case scenario is stiff and light (generally meaning narrow) outer limbs is better.
String material also makes a huge difference in combating distortion of the limb on the power stroke, generally the less elastic the better in terms of taming vibration, ie. handshock, and performance. Also in terms of total string mass, less being better, and again info we already knew from direct experience.
Generally one can use less stack height, less limb mass, by enducing some reflex, essentially just taking better advantage of the extra capacity fiberglass materials provide for us.
Just some thoughts to keep the conversation alive. Very interesting so far.