Mechatronics 4.0 by Unknown

Author:Unknown
Language: eng
Format: epub
ISBN: 9783030467296
Publisher: Springer International Publishing

: the vector of the cutting force along x, y and z.

In this part, the necessary parameters that define the dynamic model of the electromagnetic spindle are introduced. Thus, the simulation of the dynamic behavior of the studied system is presented in the following section.

3 Simulation Results Using Interval Computation Technique

Due to the non-linearity of the spindle motion equation, the resolution with uncertainties of this type of system using the Newmark method coupled with Newton-Raphson (Gościniak and Gdawiec 2019; Faroughi and Lee 2015) gave diverging results. Consequently, the choice of parameters with uncertainty (which will be represented using intervals) affects on the convergence of the obtained results. In order to overcome this problem, the objective of this part is to solve the system of differential equations of the electromagnetic spindle with the interval calculation method. The main advantage is to obtain convergent results that reflect the effectiveness of this method. For this, the following uncertainties are introduced in the model to study the dynamic behavior of the spindle with interval:2% on the diameter of element 1

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