what do you mean by fundamental mode of vibration in structure
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Vibrational modes aren't a property of a particular type of material, they're a property of a particular piece of material, with a particular size and a particular shape, and held in a particular way. (To give the intended modes, rather than a different, less useful set, a tuning fork has to be held by the handle and a guitar string has to be held by the ends and under tension.)
If you take some bronze say, and make a series of Bells, the mode frequencies will depend on the exact size and shape, even though the material is the same. Larger pieces tend to have lower frequencies, but more compact pieces (fewer holes and voids and long thin bits) tend to have higher frequencies.
In principle every object has a near infinity of different modes, of successively higher frequency, although in practice the higher ones die away too quickly to be detectable.
If you take some bronze say, and make a series of Bells, the mode frequencies will depend on the exact size and shape, even though the material is the same. Larger pieces tend to have lower frequencies, but more compact pieces (fewer holes and voids and long thin bits) tend to have higher frequencies.
In principle every object has a near infinity of different modes, of successively higher frequency, although in practice the higher ones die away too quickly to be detectable.
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