It's not common, nor straightforward...you're looking to create an "alias"
(for example:
http://articles.techrepublic.com.com/5100-10878_11-5590748.html).
This will give you "virtual" Ethernet adapters (the first, for example, as eth0, the next as eth0:0, then eth0:1, and so on).
It is possible that one of these could be dynamic, and another static, but I'm not sure what you would expect to accomplish from it (unless you plan to have separate networks share the same wire...also not common in home networking...)
Otherwise, it is usually used as a transitional tool, when a server takes over from a pre-existing server, and it's more trouble to re-configure clients, etc., in legacy situations...
More common are dual-homed systems...computers with multiple physical NICs, connected to disparate networks (or, sometimes, aggregated on the same network for redundancy and/or improved performance)...