Everybody, thanks for the input.
NTD, I wish I had a high-speed camera; it might help answer some of my questions. Then again, it would probably create more questions then it answered.
Hova, you are in good company, I know several bowyers that make some fine shooting bows that used the same reasoning to design and build their bows. I also like your reasoning because it is similar to mine and you arrived at same conclusion I did about ten years back.
Let’s define timing, at least as I understand it:
When the limbs reach the end of the power stroke, with the same amount of force, at the same time, they are in synchronization and timed.
This is not a perfect definition and is open to suggestions and refinement.
Without a high-speed camera, the only method I know to check the timing is by feel. When the excess forces exerted by the limbs at the end of the power stroke are out of synchronization, they cause a different oscillation in each limb, and is felt in the hand as excessive hand-shock. Regardless of the timing, there is always some hand-shock when shooting an arrow; it is just greater if the limbs are unbalanced.
Art, Your thoughts regarding energy and mass is the main reason I wanted to limit the discussion to laminated bows. As you stated, the way somebody grips the bow makes a huge difference on the way a bow performs. I saw a shooting seminar by Fred Asbell once and he used a 15# bow to demonstrate the effect different grips had on the bow limbs; it was significant. My thoughts are close to yours, for a bow with equal length limbs and the riser centered on the bow. In theory, if the pressure from the string and the throat of the grip are both centered on the string and bow, a perfect tiller, and timing, would have limbs with identical profiles. If the pressure point of either the string or grip shifts then the timing and tillering will change. I think bowyers stiffen the bottom limb and/or make it shorter, to help bring the timing of the limbs closer. Adjusting the brace height fine tunes the timing and brings them even closer to synchronization. That is why every bow has a “Sweet Spot”, or the best brace height, where hand-shock is minimized for that bow.
Enough rambling, back to the point of my original post: Why do some ask for a full draw picture of laminated bows? If the accepted practice is to either stiffen the bottom limb and/or make it shorter the profile of the bottom and top limbs will be different, unless the limbs are out of time/synchronization. If the lower limb is shorter, the arch will be different then the upper. The same is true when the lower limb is stiffer.
John, you reached the same solution as myself, with all my bows, glass, laminated wood, or selfbows, I first tiller to symmetry (because it is often close to the correct timing), and then final tiller by feel. Before I started making glass bows, my thinking was the tillering was going to be a lot easier then with selfbows; in some respects, it is (now that I got most the forms fine-tuned). However, I still find myself having to final tiller by feel. The full draw profiles of my bow are usually close, but never perfect, so I started thinking it was my design. Wanting to check if it was me, I started looking at my glass bows made by others (over 30) and only two of them had a symmetrical full draw profile. Both these bows have more hand-shock then the majority the other bows.