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Hi
It does as you described (accounts for temp., on material properties). But not as you say it ' Â I would expect this temperature to affect the natural frequencies since they affect the material properties that are proportional to the eigenvalues'.
The temperature can effect the material properties, e.g., Young's modulus (most common), and the Young's modulus is related and has an effect on the natural frequency of solid structure with that Young's mod.
Now for it (temp. effect on material properties->effect on frequencies) to work of course you need to have in Engineering data, material properties that are temp. dependent (say Young’s mod.). For instance:
Temp: 22   200000000000 Pa 0.3
Temp: 100   100000000000 Pa  0.3
So if we set the env. temp. in modal analysis to 100 deg. C., then it will use the second row shown above, and if set to 22 the first row.
All the best
Erik
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