Here are some design notes when it comes to modern pergola designs. The most common pergola design is to have decorative and somewhat rounded ends on the beam. The easiest way of creating a more modern pergola is to do away with the decorative ends.
My Summer Project - Glamorizing the Pergola hanging baskets, lights, flowers. BEST price on cool looking hanging string patio/pergola lights. This lighted back pergola will be my inspiration (Edit:see post for my complete lighted pergola!
MillHill Terrace - modern - patio - sydney - by ANNA CARIN Design-wood and concrete deck to denote separate areas. Space between deck and wall for planting beds. Mirror along background wall for an illusion of space. Cupboard in far right
Put an outdoor kitchen where that brick wall is with a fireplace and have a gate into the larger part of the back yard. Pergola connected to house and fence, over dining area in courtyard. fantastic design for narrow patio - James Farmer