Ven,
A typical warm up with my current sensei goes something like this, with variations and we do this in roughly 15 min so it's a quick progression:
- bow in
- shiko kyo (this facilitates setting up mental focus as well as initiating the flow of energy or Qi as Xue and Xingli mention)
- kubi no undo-neck rolling and stretching, which involves up/down, tilt side to side/rotate side to side, rotate back and down (slowly/carefully on this last one)
- I think the next few are variations on some of junbi undo, with some aikido and traditional uechi practices thrown in
- arm/shoulder/chest warm ups using weight of body to throw/circle/move
- leg stretching from front/side, back stances using bar/fence
- wrist locks with progressive horse stance practice
- front/side/back kicks focusing on one point/balance (fairly light power as kicking air and that can be harmful)
- arm thrusts (basically repetition of opening Sanchin sequence with dynamic tension)
- arm rubbing and arm pounding
- leg pounding
- pushups-(4-5 types)
- alternating with situps, bicycle kicks, and back lifts
- Makiwara/heavy bag-light repetitive punching meant to condition deep tissues and muscles...NOT trying to break skin or create huge callouses
- run through various Uechi strikes/kicks to condition the many different surfaces used in movement and combat
- for example: ridge hand, back fist, fingertips, front kick ball of foot, front kick toe, blade foot kick, etc.
- hojo undo-repetitive technique practice done on both sides
Then we begin the actual work on kata, kumite, and whatever sensei wants to focus on for that class.
It is not always the same, but that's a general example.
My prior sensei would do more junbi undo, particularly
heel pivot (standing and pivoting on heel to open/close foot and loosen up ankles),
heel lift (alternate lifting of heels with straight legs that emphasized foot/hip connections),
knee lift and turn exercise (I beleive this is where the traditional knee circle may fit in...but this variation involved slowly lifting knee up, slowly extending leg, rotating leg to side, back to front, bend, grab foot, lift up toward head....emphasized balance/leg strength/flexibility/height),
waist scooping(incorporates breathing and stretching...in this version you bent from waist and scooped arms back and up 2-3 times, some bouncing, lifted up and did dynamic waist twisting with clapsed arms in opposing direction).
I hope that makes sense...please feel free to ask questions and I will answer to the best of my knowledge.