Listen, OP, you don't owe him sex. "Putting out" is not something that you're obliged to do at regular intervals simply because you're in a relationship. Yes, he may personally find it frustrating if he wants sex and you don't, but he has NO right to take it out on you, and his desire to pressure you into having sex you don't want is wrong and worrying.
Example: my partner (I am a woman, he's a man) has not been able to have regular sex for a long while, going on two years now. This is due to some mental health problems he is having. I, on the other hand, have a very high sex drive and find sex to be super important to me, and something I want in my life. HOWEVER. Do you know what I don't do? Call my partner "a joke", swear at him, try and pressure him into having sex with me, or anything of the sort. Do you know what I do? I go at his pace. I reassure him that he doesn't owe me sex, that I love him regardless and ask what I can do to make him feel comfortable and supported - then do that stuff. We have conversations about our sex life and discuss the issues, sometimes making plans to improve things, other times simply acknowledging and accepting that our sex life is difficult right now.
The reason for this is because I love and respect him. Sex is so important to me, and I do struggle personally with it being an irregular thing - but that's my problem, for me to deal with, and I do. I speak to him, at appropriate times, kindly and respectfully, about how I'm feeling, so that we maintain open and honest communication. I sort myself out when I feel aroused. I remind myself that if sex is my priority, I have the option to leave the relationship and find someone else - I don't want to do this because being with my partner is more important to me.
All of this to illustrate what is possible, and what should be normal, in a relationship. It doesn't matter a jot that he's frustrated and wants sex. I'm in that position myself, and do you know what the furthest thing from my mind is? Harassing and abusing my partner to sleep with me, and abusing him further if he doesn't.
This is abuse, plain and simple, and it is hard for you to see right now, but you can and should expect so much more from life and your relationships. Please take this seriously, don't waste your one precious life, and leave.