Yes you can share your articles on tons of different social networking websites. I submit some of my articles to over 22 social bookmarking or social networking sites. In fact, I'll be writing an article about it very soon that will explain how I get 22 social bookmarking backlinks in just a few minutes with a free service.
Facebook and other social media sites are without a doubt a great way to increase traffic. They are easy backlinks, and they give your content a chance to go viral through social media.
If you do post links on facebook, don't be repetitive as it could annoy some of the people that are your friends, and eventually someone can click the spam button. To avoid that, just dont write the same thing everytime, keep things unique, keep them interesting and post up a variety of different articles. Not just the same article every time.