Semi-Analytical Integration of the Accelerogram and Equations of Motion of a System Subjected to a Paraseismic Shock
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-analytica...
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| Format: | Article |
| Language: | English |
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Sciendo
2025-01-01
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| Series: | Architecture, Civil Engineering, Environment |
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| Online Access: | https://doi.org/10.2478/acee-2024-0007 |
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| _version_ | 1841536601466863616 |
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| author | WALENTYŃSKI Ryszard |
| author_facet | WALENTYŃSKI Ryszard |
| author_sort | WALENTYŃSKI Ryszard |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e317c683537c4a5d889a3526e540045f |
| institution | Kabale University |
| issn | 2720-6947 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Sciendo |
| record_format | Article |
| series | Architecture, Civil Engineering, Environment |
| spelling | doaj-art-e317c683537c4a5d889a3526e540045f2025-01-14T14:22:35ZengSciendoArchitecture, Civil Engineering, Environment2720-69472025-01-01171778210.2478/acee-2024-0007Semi-Analytical Integration of the Accelerogram and Equations of Motion of a System Subjected to a Paraseismic ShockWALENTYŃSKI Ryszard0Ass. Prof., DSc PhD Eng.; Silesian University of Technology, Faculty of Civil Engineering, ul. Akademicka 5, 44-100Gliwice, PolandThe 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.https://doi.org/10.2478/acee-2024-0007accelerogramequation of motionparaseismic shocksemi-analytical integrationmathematica |
| spellingShingle | WALENTYŃSKI Ryszard Semi-Analytical Integration of the Accelerogram and Equations of Motion of a System Subjected to a Paraseismic Shock Architecture, Civil Engineering, Environment accelerogram equation of motion paraseismic shock semi-analytical integration mathematica |
| title | Semi-Analytical Integration of the Accelerogram and Equations of Motion of a System Subjected to a Paraseismic Shock |
| title_full | Semi-Analytical Integration of the Accelerogram and Equations of Motion of a System Subjected to a Paraseismic Shock |
| title_fullStr | Semi-Analytical Integration of the Accelerogram and Equations of Motion of a System Subjected to a Paraseismic Shock |
| title_full_unstemmed | Semi-Analytical Integration of the Accelerogram and Equations of Motion of a System Subjected to a Paraseismic Shock |
| title_short | Semi-Analytical Integration of the Accelerogram and Equations of Motion of a System Subjected to a Paraseismic Shock |
| title_sort | semi analytical integration of the accelerogram and equations of motion of a system subjected to a paraseismic shock |
| topic | accelerogram equation of motion paraseismic shock semi-analytical integration mathematica |
| url | https://doi.org/10.2478/acee-2024-0007 |
| work_keys_str_mv | AT walentynskiryszard semianalyticalintegrationoftheaccelerogramandequationsofmotionofasystemsubjectedtoaparaseismicshock |