Semi-analytical integration of the accelerogram and equations of motion of a system subjected to a paraseismic shock

• Autorzy: Walentyński Ryszard

Identyfikatory

DOI

10.2478/ACEE-2024-0007

• Języki publikacji: EN

Abstrakty

EN

The task of analysing shocks in areas of paraseismic mining activities is one of the important engineering tasks. Acceleration measurements should be integrated to receive velocity and displacement functions. Sometimes, numerical algorithms produce wrong results. This paper proposes a semi-analytical approach to this problem. The algorithm has been implemented within the Mathematica system. Moreover, this method has been applied to integration of the equation of motion.

Słowa kluczowe

EN

accelerogram; equation of motion; paraseismic shock; semi-analytical integration; Mathematica

PL

akcelerogram; równanie ruchu; wstrząs parasejsmiczny; całkowanie półanalityczne; Mathematica

• Wydawca: Silesian University of Technology
• Czasopismo: Architecture Civil Engineering Environment
• Rocznik: 2024
• Tom: Vol. 17, no. 1
• Strony: 77--82
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Walentyński Ryszard

• Ass. Prof., DSc PhD Eng.; Silesian University of Technology, Faculty of Civil Engineering, ul. Akademicka 5, 44-100 Gliwice, Poland

• https://orcid.org/0000-0003-3530-682X

Bibliografia

• [1] Walentyński R. (2023). Półanalityczne całkowanie akcelerogramu i równań ruchu układu poddanego wstrząsowi parasejsmicznemu (Semi-analytical integration of the accelerogram and equations of motion of a system subjected to a paraseismic shock), presented at 68 Scientific Krynica Conference KILiW PAN i KN PZITB, 24-28 September 2023, in Orlik- Kożdoń B., Jasiński M., Pokorska-Silva I. (eds.): Wyzwania budownictwa na terenach górniczych, pogórniczych i zdegradowanych (Construction challenges in mining, post-mining and degraded areas). Book of abstracts, 2023, Silesian University of Technology, 317-320, Gliwice, Poland.
• [2] Guorui H. & Lu T. (2016). Review on baseline correction of strong-motion accelerogram, East Asian Science Technology and Society an International Journal, 36(3), 309-314. DOI: 10.11648/j.ijsts.20150306.16.
• [3] Chmielewski T., Zembaty Z. (2015). Podstawy dynamiki budowli (Fundamentals of building dynamics). Warszawa: Arkady.
• [4] Gromysz K. (2016). Dynamika budowli. Obliczenia układów prętowych o masach skupionych (Building dynamics. Calculations of rod systems with concentrated masses). Warszawa: PWN.
• [5] Wolfram Research, Inc. (2022). Mathematica, Version 13.3, Champaign, IL, https://www.wolfram.com/mathematica
• [6] Esfandiari R. S. (2017). Numerical Methods for Engineers and Scientists Using MATLAB®. Boca Raton: CRC Press.
• [7] Dechaumphai P. &, Wansophark N. (2020). Numerical Methods in Science and Engineering: Theories with MATLAB, Mathematica, Fortran, C and Python Programs. Oxford: Alpha Science International Ltd..
• [8] Dubin D. (2003). Numerical and Analytical Methods for Scientists and Engineers Using Mathematica. Hoboken: John Wiley & Sons, Inc..