Approximation and prediction of movements of the control points of soil dams using Fourier series

Authors

  • Олександр Валентинович Мельник Lesya Ukrainka Eastern European National University Kravchukа str, 36, Lutsk, Ukraine, 43026, Ukraine
  • Юлія Анатоліївна Мельник Lutsk National Technical University. Lutsk, Ukraine Potebni str, 56, Lutsk, Ukraine, 43018, Ukraine

DOI:

https://doi.org/10.15587/2313-8416.2015.38832

Keywords:

approximation, prediction, Fourier series, leveling, waterworks, predictive model

Abstract

The modeling process of settling of concrete top parapet of soil dam reservoir of Khmelnitsky NPP and forecasting movement of individual points is considered in the article. It is proposed to analyze the results of high-precision geometric leveling in 2 stages: at first is allocated trend component using polynomial approximation and then the remaining deviations from trend curve approximating by partial Fourier series

Author Biographies

Олександр Валентинович Мельник, Lesya Ukrainka Eastern European National University Kravchukа str, 36, Lutsk, Ukraine, 43026

Associate Professor, PhD

Department of Geodesy, Landmanagement and Cadaster

Юлія Анатоліївна Мельник, Lutsk National Technical University. Lutsk, Ukraine Potebni str, 56, Lutsk, Ukraine, 43018

Assistant, PhD

Department of Urban Construction and Management

References

Gol'din, A. L., Rasskazov, L. N. (2001) Proektirovanie gruntovyh plotin [Design of earth dams]. Moscow, Russia: ASV, 384

Tretyak, K., Sidorov, I. (2005). Optymizatsiya pobudovy heodezychnykh merezh Dnistrovs'koyi HAES suputnykovymy radionavihatsiynymy tekhnolohiyamy [Optimization of building geodetic networks of Dnistrovsky Hydroelectric Power Station with using satellite radio navigation technology]. Zb. Suchasni dosyahnennya heodezychnoyi nauky ta vyrobnytstva, 10, 207–219.

Greshilov, A. A. (1990). Analiz i sintez stohasticheskih sistem [Analysis and synthesis of stochastic systems] Radio i svjaz', 320.

Kirichkov, V. (1990). Identifikacija obektov sistem upravlenija tehnologicheskimi processami [Object identification process control systems] Vyshca shkola, 263.

Jejkoff, P. (1975). Osnovy identifikacii sistem upravlenija [Identity-based control systems]. Moscow: Mir, 683.

Bolnokin, V., Chinaev, P. (1986). Analiz i sintez sistem avtomaticheskogo upravlenija na JeOM [Analysis and synthesis of automatic control systems for PC]. Moscow, Russia: Radio i svjaz', 248.

Zajcev, A., Morfenko, S., Mihaljov, D. (1991). Geodezicheskie metody issledovanija deformacij sooruzhenij [Geodetic methods of research deformation structures]. Kiev, Ukraine: Nedra, 271.

Mel'nyk, V. M., Rudyk, O. V., Pavlyshyn, V. P., Mel'nyk, O. V. (2008). Monitorynh hruntovykh hrebel' znachnoyi protyazhnosti nazemno-suputnykovymy heodezychnymy metodamy [Monitoring of groundwater dams considerable length using ground-satellite geodetic methods]. Scientific Bulletin of Chelm. Section of Technical Sciences, 1, 115–125.

Gridchin, A. N., Gridchin, Ju. A., Krasnov, Je. A. (1984). Podbor modelej i prognozirovanie osadok sooruzhenij po rezul'tatam geometricheskogo nivelirovanija [Selection of models and forecasting sediment structures as a result of geometric leveling]. Sb.: Geodezija i fotogrammetrija pri meliorativnom stroitel'stve, 15–25.

Voloshyn, V. U., Mel'nyk, O. V. (2012). Modelyuvannya vertykal'nykh deformatsiy hruntovoyi hrebli vodoskhovyshcha Khmel'nyts'koyi AES [Simulation of vertical deformation of soil dam reservoir Khmelnitsky NPP]. Zb. Suchasni dosyahnennya heodezychnoyi nauky ta vyrobnytstva, 23, 132–136.

Published

2015-03-24

Issue

Section

Technical Sciences