The only difference between a colored artifact and a colorless artifact is, obviously, its color. Unlike most artifacts, a colored artifact requires colored mana to cast. Also unlike most artifacts, a colored artifact has a color in all zones. It will interact with cards that care about color. Other than that, a colored artifact behaves just like any other artifact. It will interact as normal with any card that cares about artifacts, such as Shatter or Arcbound Ravager.

If an effect says “You may search your library . . . If you do, shuffle your library,” you can’t choose to search, so you won’t shuffle.

If an effect says “Search your library . . . Then shuffle your library,” the search effect fails, but you will have to shuffle.

Since players can’t search, players won’t be able to find any cards in a library. The effect applies to all players and all libraries. If a spell or ability’s effect has other parts that don’t depend on searching for or finding cards, they will still work normally.

Effects that tell a player to reveal cards from a library or look at cards from the top of a library will still work. Only effects that use the word “search” will fail.