Why the woofer moves badly when playing certain LPs

Absolutely mc. Mostly with small warps and surface irregularities. Not all new records are bad. Some are terrific and there are several companies that consistently put out great product. I can't remember having trouble with built in rumble in the past but I certainly had a lot of trouble with noisy pressings particularly with popular music. Classical pressings were always much better. Rock was hit or miss. I have some old DECCA records that are astonishing. 

No one has mentioned the fact that reflex loaded speakers go nuts when driven below their tuned cutoff frequency. Does the OP have vented or sealed? He doesn’t say and our experts don’t ask. But the observation that this phenomenon is limited to new releases is suggestive that  we are dealing with a software anomaly and not a playback system misbehavior. 

Thank you very much for many feedback.

I'd like to make up a little bit more. This phenomenon does not necessarily appear only on new records.

For example, one of my old LPs is Eagles "One of The Nights," and one of the latest LPs is Weyes Blood "Titanic Rising," PHOBE BRIDGERS "Stranger In The Alps," especially on track 1. The woofer moves loudly even in the silent section before the music starts.

Most LPs play very normally, but this is happening in some records, so I want to know why. I didn't want to see this uncomfortable woofer if I could.

In the evening, I will upload an additional video of this phenomenon to YOUTUBE.

Years ago I had the same problem . It was an arm and cartridge mismatch. You need to know the mass of that tonearm and the cartridge compliance. If you do the calculations this chart will show the resonance frequency of that combination!
http://www.mh-audio.nl/Calculators/RF.html

I have recorded that was causing the problem and uploaded it to YouTube.

https://youtu.be/2tIc9_Ym6DM