I am not advising this, but I had a 55g on a metal stand on hardwood floors that rocked back and forth (enough to slosh) every time someone walked past the tank. The tank did not spring any obvious leaks during its ~5 year existence. I am not advising that you necessarily leave it the way it is, that depends on how much it rocks back and forth, but I do want to mention that the rocking can be based off other factors than just the stand and the immediate flooring material underneath it.
the rocking may be caused by the carpet pad underneath if it is a very thick pad, but more than likely the rocking is due to motion in the subfloor. Is it a wood subfloor or a poured slab? In other words, is there a basement/crawlspace/living space underneath it? If so, there are likely joists, and if the joists run perpendicular to the tank, there is a high likelihood that force on the joists will translate along the entire length of the joists, causing some motion in the floor. this is very common in hardwood floors, and also can be detected in carpeted rooms with wooden subfloors.
@Naterjm will be able to tell you more about how floor joists behave underneath a tank.
All that being said, you have a few things going for you: your tank is in a corner against an outside wall, and it is a smaller tank from the sounds of it (anything under 50gal in this context is small). There may not be anything you can do to keep the subfloor from moving, so you may be interested in considering a thin aquarium mat to place under the tank to damp some of the motion that occurs as someone walks past the tank.
If there is no meaningful "sloshing" of the water and only vibrations, then in all likelihood the forces encountered on the panes of the tank are not enough to cause creep or fatigue in the silicone, at least not over a reasonable amount of time. I would re-evaluate the state of the tank in 5 years, but in all likelihood it will be fine.
Also check for levelness. If your tank is level, then you are better off than having a tank that both vibrates AND is not level.