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.
Teak Fence and Backyard Garden Deck - City Beautiful Carpentry: A modern design using reclaimed teak from china. By using reclaimed wood, this client ensured that no trees were felled to create his ultimate backyard meditation garden.
I love the idea of having panels that can be manipulated to provide more air/shade/rain protection/wind relief as the weather changes. AND I love the simple wood structures of this feature. - Decoration for House