We built our first pergola (20'x 18' x 10' tall). We used cedar with 6 - 6x6 posts with 30-inch concrete footings attached with 1/2" J bolts to OWT/OZCO post bases. We have double 2x8 beams that span ~10ft with 2x6 rafters that span ~18ft and are connected with Simpson Hurricane Ties. Post to beam connections were made with 8-inch OWT timer bolts. I also put ~2ft braces up everywhere that I could. There were some issues with the patio not being level so I used some wood and stainless steel shims to ensure that the posts make good contact with the post bases and reduce any extra play.
On paper, I felt like everything seemed okay, and in a static situation or with light force the structure seems to be stable. The issue I noticed is that if I give it a hard push or if I try to rock it back and forth in the direction parallel with the rafters, the structure still wobbles a bit. It is pretty solid when you try to move it in the direction of the beams (this is the direction with 3 posts instead of 2) so I am not really worried about that.
We really like how it turned out but wanted to get other opinions on whether or not this would be considered safe. I don't want anyone to get hurt for the sake of my pride if we were to leave it alone.
Are there any suggestions on how to make it more sturdy? Would larger braces on the side with only 2 posts help? I also saw Simpson has some knee brace stabilizers and was thinking maybe those would work better than just the timber screws I used for the braces?
Video of wobbling when forcefully shaking one of the posts: https://drive.google.com/open?id=15B0GaEV4My2gBfh_8d0WrulkR2FXMe2_