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- Does initial stress ( preloading) have effect on vibration of linear structures?

Hello all,

We might have observed that by tightening a string of a musical instrument, the natural frequency of the string changes. But I can not describe this phenomenon by the theory of linear elasticity. Also if we simulate the vibration of a bar with the help of structural software tools, applying an constant axial load does not make change on the vibration frequency. This is easy to explain because the preloaded vibration is in fact a force vibration and we know that the external force does not affect the natural frequency. Given that the statements above are right, a question come into mind:

When people talk about the effect of initial stress ( per-loading) on the vibration characteristics of a structure, is some kind of non-linearity included?

We might have observed that by tightening a string of a musical instrument, the natural frequency of the string changes. But I can not describe this phenomenon by the theory of linear elasticity. Also if we simulate the vibration of a bar with the help of structural software tools, applying an constant axial load does not make change on the vibration frequency. This is easy to explain because the preloaded vibration is in fact a force vibration and we know that the external force does not affect the natural frequency. Given that the statements above are right, a question come into mind:

When people talk about the effect of initial stress ( per-loading) on the vibration characteristics of a structure, is some kind of non-linearity included?

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