Mathematical modelling of earthquake induced vibrations on multistory buildings

Logically, the taller building will be collapsed with a small period. We will give the reason in mathematical ways according to our study. The ability to make predictions about the vibrations from the earthquake could enable scientist to evaluate or plans and may have a significant effect on the per...

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Main Author: Adenan, Nur Hamiza
Format: Thesis
Language:English
Published: 2010
Subjects:
Online Access:http://eprints.utm.my/id/eprint/11500/5/NurHamizaAdenanMFS2010.pdf
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spelling my-utm-ep.115002017-09-18T05:07:10Z Mathematical modelling of earthquake induced vibrations on multistory buildings 2010 Adenan, Nur Hamiza QA Mathematics Logically, the taller building will be collapsed with a small period. We will give the reason in mathematical ways according to our study. The ability to make predictions about the vibrations from the earthquake could enable scientist to evaluate or plans and may have a significant effect on the period of time for the building collapsed. The modelling of unforced and forced vibrations on multistory buildings are used as a tool to study the mechanisms of vibration that caused by an earthquake. Both models are used to calculate the natural frequencies,w and period, P of the building vibrations. Furthermore, the maximal amplitude of the building vibrations also can be analysed. For this research, eight, eleven and fifteen floors building have been applied. In our analysis, eigenvalues method is used via Maple 13 package. The graph of forced frequency versus amplitude and period versus maximal amplitude are plotted and discussed. 2010 Thesis http://eprints.utm.my/id/eprint/11500/ http://eprints.utm.my/id/eprint/11500/5/NurHamizaAdenanMFS2010.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Science Faculty of Science
institution Universiti Teknologi Malaysia
collection UTM Institutional Repository
language English
topic QA Mathematics
spellingShingle QA Mathematics
Adenan, Nur Hamiza
Mathematical modelling of earthquake induced vibrations on multistory buildings
description Logically, the taller building will be collapsed with a small period. We will give the reason in mathematical ways according to our study. The ability to make predictions about the vibrations from the earthquake could enable scientist to evaluate or plans and may have a significant effect on the period of time for the building collapsed. The modelling of unforced and forced vibrations on multistory buildings are used as a tool to study the mechanisms of vibration that caused by an earthquake. Both models are used to calculate the natural frequencies,w and period, P of the building vibrations. Furthermore, the maximal amplitude of the building vibrations also can be analysed. For this research, eight, eleven and fifteen floors building have been applied. In our analysis, eigenvalues method is used via Maple 13 package. The graph of forced frequency versus amplitude and period versus maximal amplitude are plotted and discussed.
format Thesis
qualification_level Master's degree
author Adenan, Nur Hamiza
author_facet Adenan, Nur Hamiza
author_sort Adenan, Nur Hamiza
title Mathematical modelling of earthquake induced vibrations on multistory buildings
title_short Mathematical modelling of earthquake induced vibrations on multistory buildings
title_full Mathematical modelling of earthquake induced vibrations on multistory buildings
title_fullStr Mathematical modelling of earthquake induced vibrations on multistory buildings
title_full_unstemmed Mathematical modelling of earthquake induced vibrations on multistory buildings
title_sort mathematical modelling of earthquake induced vibrations on multistory buildings
granting_institution Universiti Teknologi Malaysia, Faculty of Science
granting_department Faculty of Science
publishDate 2010
url http://eprints.utm.my/id/eprint/11500/5/NurHamizaAdenanMFS2010.pdf
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