The approximation function of bridge deck vibration derived from the measured eigenmodes

• Autorzy: Sokol M. , Komorníková M. , Bacigál T. , Rodríguez M. X.

Identyfikatory

DOI

10.1515/amcs-2017-0056

• Języki publikacji: EN

Abstrakty

EN

This article deals with a method of how to acquire approximate displacement vibration functions. Input values are discrete, experimentally obtained mode shapes. A new improved approximation method based on the modal vibrations of the deck is derived using the least-squares method. An alternative approach to be employed in this paper is to approximate the displacement vibration function by a sum of sine functions whose periodicity is determined by spectral analysis adapted for non-uniformly sampled data and where the parameters of scale and phase are estimated as usual by the least-squares method. Moreover, this periodic component is supplemented by a cubic regression spline (fitted on its residuals) that captures individual displacements between piers. The statistical evaluation of the stiffness parameter is performed using more vertical modes obtained from experimental results. The previous method (Sokol and Flesch, 2005), which was derived for near the pier areas, has been enhanced to the whole length of the bridge. The experimental data describing the mode shapes are not appropriate for direct use. Especially the higher derivatives calculated from these data are very sensitive to data precision.

Słowa kluczowe

EN

eigenmode approximation; eigenmode derivatives; regression spline; spectral analysis; distributed parameter system

PL

krzywa regresji; analiza spektralna; układ o parametrach rozłożonych

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2017
• Tom: Vol. 27, no. 4
• Strony: 799--814
• Opis fizyczny: Bibliogr. 32 poz., rys., tab., wykr.

Twórcy

autor

Sokol M.

• Department of Structural Mechanics, Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, SK-810 05 Bratislava, Slovakia

autor

Komorníková M.

• Department of Mathematics, Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, SK-810 05, Bratislava, Slovakia

autor

Bacigál T.

• Department of Mathematics, Faculty of Civil Engineering, Slovak University of Technology, Radlinského 11, SK-810 05, Bratislava, Slovakia

autor

Rodríguez M. X.

• School of Engineering and Sciences, Campus Puebla, Monterrey Institute of Technology and Higher Education, Va Atlixcáyotl 2301, Reserva Territorial Atlixcáyotl, 72453, Puebla, Mexico

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).