I have a nosewheel shimmy mid speed. On take off and landing. It a a specific speed range. I keep back pressure elevator to minimize and it still does it. We have had the tire replaced-balanced-shimmy damper refurb you name it. It shook apart a wheel pant on us. Finally got a vid or it Fast forward to 10 minute mark for takeoff. any thoughts??? I started to think about rudder trim. If the rudder is trimmed differently will that trim the nose gear as well? We’ve spent thousands trying to get this right.