Material Property Index against Tensile Failure
The natural frequency of a string for length 'L' , mass 'M' and tension 'T' is given by the following relationship:
? = n/L v(T/ML)
Where,
T= ?2 A L 2 ρ /n 2
Hence using area as the free variable:
T = ( ?2 /n2) T max L 2 ( ρ / σ f )
Which shows the material property index as ( ρ / σ f ).
The following are the natural frequency specification, which is
often used as a qualitative guide-line
- Nat. Freq. 2000 Hz - Warm Mellow
- 3000 Hz - Brilliant bright
- 4000 Hz - Piercing
- 5000 Hz - Brittle & Thin
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