Is it necessary to consider longitudinal inertia effect in free vibration of cylindrical panels?

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Huajiang Ouyang

The frequencies of longitudinal modes are higher than the bending frequencies. So if the range of frequencies of your interest is well below the first longitudinal frequency, then the longitudinal inertia can be ignored.

C. Martín Saravia

Normally you shouldn´t need to consider the axial inertia effects... at least for practical purposes.