I would suggest you focus on 3 social signals mainly: 1) Facebook 2) Twitter 3) Google+
For Facebook, it's pretty easy, you can interact with some groups, and if they allow, you can share your article links there. That should generate decent shares/likes.
For Twitter, it's going to be difficult, but you can participate in popular Twitter chats and use specific hashtags to get good RTs and Likes.
For Google+, I'm sorry, I'm not an expert, but try to make use of their communities... there are good active users there, who might appreciate our content and do the needful.
USEFUL: Popular #Hashtags on Social Media (Twitter, Instagram, Facebook & More)
If you are not interested in all these, then you can buy some social signals on platforms like Fiverr for less price.