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: Using numerical methods like Rayleigh’s, Dunkerley’s, and the Stodola method to find natural frequencies.

: Identify unbalanced forces or dry friction.

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: Analysis of free and forced vibrations, including magnification factors and transmissibility.

: Use mathematical modeling to ensure a machine does not operate at its critical speed, preventing "whirling" in shafts. Mechanical Vibrations by Das JBK | PDF - Scribd Mechanical Vibrations by Das JBK | PDF -

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