Footprint design for vibration resistance
If you're serious about this, you must take into account the mounting geometry of the pcb, the material stiffness, and the location of the inductor. You'll need to do a FEA vibration analysis to identify nodes on the board and coupling of vibrational energy into the inductor footprint.

If you don't have the in-house expertise for that, and don't have access to an outside expert you can hire, you're best off making a blank pcb with just the inductor and shaking/shocking the hell out of it until it fails.

EDIT Sometimes the physical straightforward approach can save a lot of time over careful analysis. There's a story about Edison. Supposedly he assigned a task to a new engineer - determine the capacity of a an oddly-shaped glass bulb. The engineer spent a day taking careful measurements of the bulb and calculating precisely how much volume this entailed, after making due allowances for the  (measured, of course, at several places) thickness of the bulb. Edison, it is said, took the bulb, walked over to a water tap, and filled the bulb, then poured the water into a graduated cylinder.