Mathematical modeling of earthquake induced vibrations and its effects on multistory buildings

A strong earthquake will cause sudden fatality, great economic loss and panic to community. A mathematical model of forced vibrations on multistory buildings is used as a tool to study the mechanism of vibration that caused by an earthquake. The model is used to calculate the natural frequencies, ?...

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Bibliographic Details
Main Author:	Mahmud, Asma
Format:	Thesis
Language:	English
Published:	2014
Subjects:	QA Mathematics
Online Access:	http://eprints.utm.my/id/eprint/38436/5/AsmaMahmudMFS2014.pdf
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id	my-utm-ep.38436
record_format	uketd_dc
spelling	my-utm-ep.384362017-09-12T04:27:08Z Mathematical modeling of earthquake induced vibrations and its effects on multistory buildings 2014 Mahmud, Asma QA Mathematics A strong earthquake will cause sudden fatality, great economic loss and panic to community. A mathematical model of forced vibrations on multistory buildings is used as a tool to study the mechanism of vibration that caused by an earthquake. The model is used to calculate the natural frequencies, ? and period, P of the building vibrations. Furthermore, the vibration on each floor and the maximal amplitude of the building vibrations also being analyzed. This research only concentrates on three floors building and five floors building. Matrix method is used to get analytical solution of the earthquake model and the graphs of calculated frequencies against period and vibrations of the floors against time are plotted via Maple 12 package. Based on that graphs, the related discussions are being made. 2014 Thesis http://eprints.utm.my/id/eprint/38436/ http://eprints.utm.my/id/eprint/38436/5/AsmaMahmudMFS2014.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 Mahmud, Asma Mathematical modeling of earthquake induced vibrations and its effects on multistory buildings
description	A strong earthquake will cause sudden fatality, great economic loss and panic to community. A mathematical model of forced vibrations on multistory buildings is used as a tool to study the mechanism of vibration that caused by an earthquake. The model is used to calculate the natural frequencies, ? and period, P of the building vibrations. Furthermore, the vibration on each floor and the maximal amplitude of the building vibrations also being analyzed. This research only concentrates on three floors building and five floors building. Matrix method is used to get analytical solution of the earthquake model and the graphs of calculated frequencies against period and vibrations of the floors against time are plotted via Maple 12 package. Based on that graphs, the related discussions are being made.
format	Thesis
qualification_level	Master's degree
author	Mahmud, Asma
author_facet	Mahmud, Asma
author_sort	Mahmud, Asma
title	Mathematical modeling of earthquake induced vibrations and its effects on multistory buildings
title_short	Mathematical modeling of earthquake induced vibrations and its effects on multistory buildings
title_full	Mathematical modeling of earthquake induced vibrations and its effects on multistory buildings
title_fullStr	Mathematical modeling of earthquake induced vibrations and its effects on multistory buildings
title_full_unstemmed	Mathematical modeling of earthquake induced vibrations and its effects on multistory buildings
title_sort	mathematical modeling of earthquake induced vibrations and its effects on multistory buildings
granting_institution	Universiti Teknologi Malaysia, Faculty of Science
granting_department	Faculty of Science
publishDate	2014
url	http://eprints.utm.my/id/eprint/38436/5/AsmaMahmudMFS2014.pdf
_version_	1747816527997960192

Mathematical modeling of earthquake induced vibrations and its effects on multistory buildings

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