I doubt it is the most frequent question in this forum, and the 7818 is definitely not the problem (or at least is a lesser significant part of it).
First, you need to source a transformer that can give 20A at more than 18V. That is quite a big transformer.
Why more than 18V? Because when you start pulling 20A, there will be some loss in the rectifiers, regulator and wiring.
Then, you need to regulate to 18V. The often-seen method is to use an integrated regulator, like the 7818, with a pass transistor or in this case several paralleled pass transistors.
Unless you either do not need accurate regulation to 18V, or you want to make a SMPS. A SMPS would be much smaller and lighter, but much harder to design unless you really know what you are doing, which is clearly not the case (no offence meant by that).
The principles are simple, and no different to, say, a 12V high current supply than the choice of components for 18V instead of 12V. Search for high current power supplies in general for some idea of the circuits.