The Dutch word "Tussenvoegsel" has no satisfactory equivalent in English, although it is sometimes translated as "infix." It literally means "something put in between."
Examples of tussenvoegselen are "van," "van de," "van der," and "van het." "Van" means "from," while the rest mean "from the." "Ver" is a contraction of "van der" and "van 't" is a contraction of "van het." Thus "Van Rhenen" means "From Rhenen." In Dutch, the tussenvoegselen have a special role in the surname. This is reflected in the alphabetical order where the name Van Rhenen is alphabetized as R, not V.
Genlias (http://www.genlias.nl) provides information from the official Dutch Civil Register, which covers the period since 1811.
On the Genlias web site, if you are researching the van Veen family, you can fill in "Veen" as surname and "van" as tussenvoegsel. This will only find persons with the name "van Veen," not the "van der Veen's" or other variants. If you leave the tussenvoegsel blank, both "Veen," "van Veen" and "van der Veen" matches will be displayed. You can check the "Without" checkbox to indicate that you are only interested in people without tussenvoegselen. In the previous example, only people with the name "Veen" will be found.