Methods for studying the mechanical model
Machining vibrations - How can they be identified and addressed

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Methods for studying the mechanical model


Machining vibrations - How can they be identified and addressed

Author : Lionel ARNAUD

Publication date: January 10, 2019, Review date: November 25, 2020 | Lire en français

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5. Methods for studying the mechanical model

Mathematically, even the simple model presented above (equation (4) ) does not have an analytical solution. This is due to the term x(t - T ), which makes the differential equation non-linear.

In practice, there are two main methods for estimating the behavior of this equation: numerical time resolution and stability analysis.

5.1 Numerical time domain resolution

By discretizing in sufficiently small time steps, we can obtain an approximate numerical solution, which can then be used to model the machined surface. This is even the...

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