One of the most common symptom of anxiety is that of shaking or tremulous activity. Shaking is a result of the fight or flight system, and is caused by adrenaline/epinephrine. Adrenaline causes our body to enter an energy mode, whereby shaking can occur. Once released, adrenaline can't be stopped. It needs to be used up by the body. One thing you can do, is to do your best to control your anxiety, since that is what is causing the release of the adrenaline.
Focusing on my breathing, helps me. It is also one of the teachings of cognitive behavioral therapy (CBT). I inhale through my nose, and exhale through my mouth, at a rate of 6-8 breaths per minute.
Accepting the symptoms of anxiety is important. You don't want to fight with anxiety. This just sets-up a loop of fear feeding fear, making the anxiety worse.
If you find your mind filled with negative/intrusive thoughts, you want to do your best to replace them with positive thoughts. This is not easy to do, but it really helps.
If you are wide awake in the middle of the night, when the shaking is occurring, you might consider getting out of bed and exercising, or doing housework, anything "active" to burn-up the adrenaline.
I hope some of these suggestions might help. The very best to you, MLB!... Chuck