Measurement a hydraulic hammer parameters using experimental data

V. H. Horodetskyi

Abstract


The paper proposes a method for measuring the hydraulic system parameters on the basis of data on time changes of the quantities characterizing the state of the system. To solve this problem, a mathematical model of an object as a system of ordinary differential equations is built. We consider the case where part of the model parameters is unknown. To find them, it is proposed to solve the inverse problem of the theory of differential equations. That is, we use the known solutions of the model to find unknown data about the system itself, in this case - the value of its coefficients.

Keywords


Hydraulic hammer; mathematical model; parameters; differential equations; inverse problem.

References


Tarasik V. P. Matematicheskoe modelirovanie tehnicheskih sistem / Tarasik V. P. – Mn.: Dizajn PRO, 2004. – 640 s.

Ushakov L. S. Nauchnye osnovy razrabotki i sozdanija udarno-skalyvajushhih ispolnitel'nyh organov gornoprohodcheskih mashin: dis. doktora tehn. nauk: 05.05.06 / Ushakov Leonid Sergeevich. – M., MGI, 1989. – 381 s.

Danilov Ju. A. Apparatura obemnyh gidroprivodov / Danilov Ju. A., Kirilovskij Ju. L., Kolpakov Ju. G. – M.: Mashinostroenie, 1990. – 211 s.

Bashta T. M. Mashinostroitel'naja gidravlika / Bashta T. M. – M.: Mashinostroenie, 1971. – 672 s.

Press W. H., Teukolsky S. A., Vetterling W. T., Flannery B. P. (2007). «Section 19.4. Inverse Problems and the Use of A Priori Information». Numerical Recipes: The Art of Scientific Computing (3rd ed.). New York: Cambridge University Press. ISBN 978-0-521-88068-8.




DOI: http://dx.doi.org/10.20535/2079-5688.2014.25.38332

Refbacks

  • There are currently no refbacks.


Copyright (c) 2016 Herald of the National Technical University of Ukraine «Kyiv Polytechnic Institute». Series of «Mining»

Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.

ISSN 2079-5688 (Print),  ISSN 2519-2167 (Online)