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What is the difference between Bending Equation of cantilever beam and dynamic equation of cantilever beam?

Is it possible to derive one from the other?

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The bending equation typically contains no dynamic terms i.e., accelerations and velocities because it is used to solve for static deflections under the influence of constant loads.

Now if we imagine the cantilever beam to be massless and have a point load asserted on its free end, then the constituitive equation for the compliance of the beam can be extracted from the bending equation and used as the compliance term in a dynamic analysis of the oscillatory response of a cantilever beam with a point-mass loading.

This could also be done if the loading of the beam is only its own distributed mass, in which case the above lumped element response model would be inadequate, and you would have to create a distributed element response model instead.

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