Woofer pumping possibly due to tube amp when playing vinyl


I am moving this issue  to this forum because of what I discovered this weekend.

I’ve been trying to figure out why I have woofer pumping when I play vinyl, and for the last two weeks I’ve been messing with my vinyl rig trying to figure out what is causing the issue.  The woofer pumping seems to be more prevalent with the vertical up-and-down movements of the tonearm regardless of which turntable is being played. It appears it happens more at the outer edge of the record then the inner grooves.  I assume this is because record is more warped at the outer edges. The woofer pumping happens even in quite passages, so it’s not noise induced vibration affecting the turntable. 

 I have used two different turntables to try to figure this out, one is a pioneer PL 530, and the other is a VPI prime. both with different carts. Also, I have verified that all the carts being used on these turntables work well together with their respective arms.

However, it is not the turntable or cartridges. 

Things I can say for certain, it is not the turntable because I switched turntables with different cartridges to confirm this, and I still get the woofer pumping.  It is not a phono preamp because I’ve switched several phono preamp‘s, solid state and tube, and I still get the woofer pumping. It appears it is the tube amp that may be at cause. It’s the only component left of the chain. 
I have a Audio Research  Classic 60 amp. I got the amp used but it came with a new set of power tubes I don’t recall if I changed the four smaller driver tubes,  I also change the four large capacitors to new capacitors and biased the amp. 
The interesting thing is, with the TT’s I tried, it is the right channel that pumps more than the left channel, regardless of the variety of different cartridges tried, all aligned with AS Smartractor.

To be certain it was limited to vinyl playback, I plugged in a CD player and I do not get the woofer pumping at all. So I have a couple theories (1) the TT is just transferring subsonic frequencies from the records, ALL records I play do this.  Please remember, this is from the two different turntables being used, one a VPI prime belt driven, and the other a pioneer PL 510 Direct DrIve,  or (2) there’s some weird thing going on at the amp that I cannot explain. 
My question is, if there is something going on with the amp could it be a tube issue, or capacitor issue, or a biasing issue.  If so what is the most likely culprit.  Or I guess something else altogether. 
In the end I’m rather tired of chasing this ghost, and I would rather not use a subsonic filter if possible. If I do have to use a subsonic filter I want the most transparent one if such a thing exists. I’ve heard mixed results about the KAB unit. 
last_lemming
Very good advice from @atmasphere.  Many records are available that have tracks for testing both lateral and vertical resonance of an arm/cartridge combination.  Certainly worth measuring if you haven't already.  
Should have mentioned that there is a resonance calculator on the Vinyl Engine site that can be used to estimate resonance based on the effective mass of the tonearm, compliance of the cartridge and the weight of the cartridge/hardware.  No substitute for an actual measurement but it will at least tell you if you should be in the ballpark.
All my carts I have tried fall within the correct EM range. 
Some of the carts are suggested by VPI themselves. 
@ last_lemming, I concur, with mijostyn. It is what i said and strereo5 said in the first two posts. (Subsonic filter.) My turntable has a air platter it sucks the record flat to the platter like a pancake no warps. And i have a (clamp.) With out the subsonic filter, i have the same problem as you do. That is why i said move the table to a different room. When i moved my table to a different room no woofer pumping. I put the table back in my audio room woofer pumping is back. I put the subsonic filter in woofer pumping gone.! I do not use subwoofers. (My subsonic filter is analog.) That is my experience. Hope that helps. Mike :-)
Thanks for your input guys. 
I just tried the mono switch on the preamp and it did somewhat reduce the pumping. About 30% less excursion as a best guess. 
I did relocate to a concrete floor to a completely different part of the room no avail.