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The variation in the total mechanical energy of the string system is also shown.
Firstly, the general form of the quasi-static model of drill string system (forward model) is given.
Accurate prediction of the drilling status needs an effective inversion calculation of the relevant parameters of the drill string system.
With the proposed control, the state of the string system is proven to converge to a small neighborhood of zero by choosing the design parameters.
By using Hamilton's principle, the nonuniform vibrating string system is represented by a nonlinear nonhomogeneous partial differential equation (PDE) and two ordinary differential equations (ODEs).
For this purpose, a piecewise-smooth torsional model with 4-DOF (degree of freedom) of drilling string system plus PDC bit is proposed to simulate non-impact drilling.
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Thus the string-type dynamic absorber can be used to suppress the excessive vibrations of corresponding string systems.
In this paper, robust adaptive boundary control is developed for a class of flexible string systems under unknown spatiotemporally varying distributed disturbance and time-varying boundary disturbance.
The configurations of the outer and inner string systems are presented in Tables 1 and 2, respectively.
In the literature mentioned above, such as [13, 16] and [20], the exponential stabilization result for various string systems by linear boundary control mainly relies on the Lyapunov direct method.
What is different is a shared framework with a stable and trusted infrastructure, rather than the rubber bands and string systems that we often use today to jury rig demonstrations of what might be possible online.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com