A few points that have helped me:
1.) When I grip the kuk, I have my hand all the way back by the bell bottom. My index, middle finger, and thumb grip it securely, my ring and little finger loosely. When I chop I bring the kuk up high -- above shoulder level. Then if it's a thick piece of wood, I'll give maybe a 1/4 strength impulse, other wise just let the kuk drop and let the mass and gravity do the work. Just before impact, I snap the kuk with a sort of whiplash motion. You have to learn the proper timing for each kukri.
2.) Do not chop straight-in like you would an axe, use the whip motion, because that causes the blade to "run" as it chops in, basically cutting the wood fibers, rather than trying to cleave them.
3.) Generally, I find that an angle of attack of less than 45 degrees works best, and is different for each kukri. Example: the angle between the "trunk" and the blade is less than 45 degrees. For harder woods, the angle is usually closer to 45 degrees, for soft object, the angle is usually closer to 30 degrees. I say usually, because each kuk cuts differently.
4.) I find that they don't need to be able to shave to work very well, but the edge MUST be smooth. Little dings and dents really kill its performance.
5.) For the sweet spot of the curve, I like to sharpen the bevel all the way to the edge, and then slightly, convex the edge. This gives me the best performance on soft grass and edge retention on chopping wood.
ETA: the mass of the kukri really affects it's chopping ability, IMO. For instance, Hollowdweller mentions his not going through a 2" piece. He uses smaller kukris than I do. my 20" CAK will go through 2" of oak in a single, hard, swing. A lighter kukri won't. Don't expect miracles, they work on basic physics like anything else, they just have certain advantages due to geometry.