Any tips/advice on socializing in college?

Any tips/advice on socializing in college? I just finished my second year and I've hardly made any friends, I find it difficult to approach and talk to people. I've joined clubs and societies too, but it was of little to no avail. And I know most of you will probably say "be direct about your stutter", and I do try to, but whenever I do so, the room immediately gets uncomfortable, and it's just awkward. For example, I'll say "My name is socstut, I've a stutter" and its just silence from then on. Also, sometimes when I try to be honest about it, when I speak fluently but stutter mid conversation, I can't help but apologize, it's like an involuntary reaction. This also makes them feel uncomfortable because they don't know how to react. Ever since, I've never brought it up and talk as little as possible. So I guess what I'm asking is how do I bring up my stutter without apologizing, without it seeming like a "Deal with it" kinda statement, without invoking pity, and how do I break the silence that follows immediately? I think one of the major problems for me is that I'm an international student, and in where I'm from, people are more blunt about, when I stutter, they'd ask me about it and I'd explain it to them and I've become to used to that. But where I'm now, people are too polite and are afraid to bring it up, so it's up to me to bring it up and explain it to them. Any advice will be helpful. Thanks.