I have some No Limit experience, but this hasn't stopped me from getting fleeced at Limit games, which I started playing out of curiosity.
What are the strategic adjustments that must be made to move from NL to Limit Hold'em?
When you move to limit, math is going to be a much bigger part of your play.
You have to learn to correctly calculate pot odds and implied odds, since it is very different.
You can and should read whole books on the subject of limit play, because it is very different.
To summarize the MAJOR points that change.
Small mistakes have big consequences. Many times the correct play is only a few percentage points better on the positive EV.
If you are getting "fleeced" in limit games after playing no limit, you are probably folding too many hands in limit, that you should be playing out.
The difference between no limit and limit is that the betting increases exponentially in no limit, and only linearly in limit. Because of that fact, hands also have to increase in value exponentially in no limit.
In no limit, if there is a five-fold raise, the raiser has something like the top one-fifth of all CALLING hands, maybe 3-5% of ALL hands. A second raise probably means AA and you should get out. That's not true in limit. The second raiser may not have AA, and even if s/he does, you might want to call with a small pair or a suited connecter if there are a lot of other callers, because if you hit your set, straight, or flush, you will collect more from the other callers than you lose from the raises. In no limit, there are fewer callers, which means you have to get out faster with a "drawing" hand.
When Moving from NL Holdem to Limit Holdem you should notice the following: