Why do my bass drivers shake violently listening to vinyl

I think dynamic and crusty have very good ideas about what might be going on. I was an early fan of transmission line woofers. Specifically I bought Irving M Fried (IMF) speakers in the early 1970s, because I thought they had unusually natural low bass response, and they were darn good above those frequencies as well. When I was once in the presence of IMF himself, he pontificated that all preamplifiers should have a subsonic filter built-in. This is because the transmission line is a ported design in which the woofer is completely free at low frequencies. And on occasion my woofers iused to pump visibly in those days. I ignored it. I still use transmission line woofers to support the low bass response of my Beveridge 2SW speaker panels. (80Hz cutoff). The TL cabinets I am using I built in something like 1971. Because I am aware of this pumping tendency, I am often staring at the KEF B139 woofers built into my transmission lines, while I am listening to music. They are pretty much static at all times, visually, from my listening seat. No pumping has been observed yet. Could be because this system is in my basement, with concrete flooring over earth, or it could be because my turntables are well isolated and quiet. And I don’t mess with warped LPs unless the warp is minuscule and I love the particular recording.

Hello,
Do you own an old mouse pad you can cut up or bubble wrap you can put under the feet? This should tell you if it is a vibration problem from the supporting table or base you are using. I have heard this was a frequency problem. Do you have a different cart/ head shell you can try really quick. If not can you switch to another cart to see if it is a frequency problem?
If it is and you like the sound of the cart then you will need to buy the device to remove the rumble. If it were the excursion of the woofer it would happen while streaming too. I had this happen to me when I used an aftermarket head shell. If yours is removable you might try a different head shell. That should change the frequency. I hope this helped. 

I had this exact problem about which I posted a month or 2 ago.

In my case, not only did I have the wild woofer pumping, but also not enough gain from my phono stage.

I tried isolation first, no improvement.

Then I tried a much better and more expensive turntable, arm, cartridge solution.  Still, the woofer pumping persisted.

Ultimately, I fixed the issue with a new photo stage, both with more gain AND a rumble filter.  The latter is inaudible BTW, other than resolving the woofer dance while spinning vinyl.

Hope this helps!

Well if the OP's tt is not broken, and if moving the tt in his listening room or improving tt isolation do not have any effect, up or down, and if his LPs are not warped, then he does need a subsonic filter, preferably a good one.

Another word for rumble filter is subsonic filter. I have a Technics 1200G and this problem was eliminated by activating the subsonic filter on my phono stage.

It is the nature of the vinyl format to have this rumble.

Not sure it helped in any way but I kept the subsonic filter off when breaking in my Tannoys.

I also ran my Salk speakers for 10 years with the subsonic filter off. Nothing bad ever happened. Woofers were always ’excited’ during the space between LP tracks.

For me, activating the filter didn’t seem to help/hurt the sonics in any real way.