They do not check your hardware
But you have two possibilities then:
1. Use proxies
2. Reboot PC or modem if you have dynamic IP.
First one does not work because many affiliates have a list of proxies, and they know you came from proxies mostly (not always though).
Second one - depends. If your new IP will be similar to your other one (in most cases it happens), then that will look suspicious. So you should not abuse that.
If your IP changes completely, then I guess it is safer, though I am no expert in the field.
Hope that helps