Cryogenic sample analysis systems are provided that can include: a system housing in direct physical contact with an environment about the system; a sample platform within the system housing; and a resonance frequency insulating assembly operatively engaged between the sample platform and the housing. Cryogenic sample analysis systems are also provided that can include: a system housing in direct physical contact with an environment supporting and surrounding the system; a sample platform within the system and operationally coupled to a coldhead of the system; and an insulating assembly operatively engaged between resonance frequencies generated by the environment and/or the coldhead, the insulating assembly comprising a suspended mass.