telasin's got the right answer. Part of it, at least.
Some breakers have NO CENTER POSITION. They trip to OFF, the trip action opens the contacts and resets the mechanism in one continuous move. This is common on miniature circuit breakers, both residential and commerical.
I worked at a Cutler-Hammer plant for some years. Cutler-Hammer bought Westinghouse's breaker business. In the same plant, residential breakers that were originally Westinghouse tripped to a center position. Residential MCBs that were originally from CH tripped to OFF. Some exceptions were available on the CH side, where the breaker tripped to a center position. These breakers represented a small fraction of the original CH branch.
Contact SquareD, they'll let you know if these breakers trip to OFF. By the looks of your case I'm pretty sure the answer will be 'yes'. Maybe you have both types of breakers and see some tripping to the center while others trip to OFF. If so, such a mix-up of product would confuse anyone.
Now, the other question is why they are tripping. Before vibrations, I would actually look for temperature issues. Miniature circuit breakers are very susceptible to ambient temperature. Although I believe SquareD has made some patented innovations that address the problem, it is possible they are still tripping because of high temperature. Look for stuff like:
1. Has the customer load increased sharply in a brief period of time? This would increase heat in electrical rooms.
2. Are the terminals on the breakers tight? Loose connections create unnecessary heat. If no maintenance is ever performed, you could have many terminals that need to be tightened.
3. Have the electrical rooms changed in any way recently? Has ventilation to the room been obstructed?
4. Do the breakers trip during a certain time of the day? Does the sun hit the roof of the room more now than in the past (construction changes)? Or are they tripping due to a rise in customer demand?
5. Are there new loads connected to the panels? The addition of several new circuits will increase the temperature in the panel.
6. Are the breakers old? Old stock could have dirty contacts that would increase the temperature in the breaker. Yet, I find it highly unlikely that a high amount of breakers would start to act in this way at the same time. I would look for general sources of heat in the room, or new circuits.
The upper limit for temperature requirements is set by UL in the Y programme of I forget which standard. MCBs have to work indefinitely without tripping at 40 deg C under 100% of rated current. For practical reasons 'indefinitely' is taken as 1-2 hours. After that most breakers have normalised to an even level somewhere above 40C. Exceed the temperature or the current and you're in uncharted territory.