Natural frequency only specifies at what frequencies input into the system will cause runaway results. I.E. the amplitude effectively becomes whatever the ultimate tensile strength of the material allows it to be, resulting in critical failure.
You need to determine the source and magnitude of your vibrations (be it from a pump, compressor, polar bears walking on your pipe, etc.) and input them to your piping system in order to calculate the response of your piping system to this input.
This value is typically much more reliable if measured.