Dynamic simulation of columns considering geometric nonlinearity

Dealing with slender structural columns will make the use of classic elastic dynamic analysis of structures untrustworthy. This will emphasize the importance of developing a method for dynamic analysis of structures taking geometric nonlinearities into consideration. In order to achieve this the equ...

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Main Author:	Mirshekari, Mostafa
Format:	Thesis
Language:	English
Published:	2013
Subjects:	TA Engineering (General) Civil engineering (General)
Online Access:	http://eprints.utm.my/id/eprint/41615/5/MostafaMirshekariMFKA2013.pdf
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id	my-utm-ep.41615
record_format	uketd_dc
spelling	my-utm-ep.416152017-07-16T07:23:35Z Dynamic simulation of columns considering geometric nonlinearity 2013-06 Mirshekari, Mostafa TA Engineering (General). Civil engineering (General) Dealing with slender structural columns will make the use of classic elastic dynamic analysis of structures untrustworthy. This will emphasize the importance of developing a method for dynamic analysis of structures taking geometric nonlinearities into consideration. In order to achieve this the equations of motions are formulated, based on finite strain formula and virtual work method. To solve the equation of motion, the usual central difference method is used. The developed method is applied to two cases of columns with different slenderness ratio. The effect of introducing the nonlinear approach for different slenderness ratios of columns is investigated on natural frequency of the first three modes. Also, the relationship between the maximum displacement for a known time step and loading frequency is studied. To find the suitable slenderness ratio threshold when the effect of nonlinearity becomes significant, the relationship between slenderness ratio and the maximum displacement ratio for a known loading frequency is studied. The results show that columns with higher ratio of axial loading over slenderness ratio provide a higher rate of decrease in natural frequencies. It is also found that the effect of taking geometric nonlinearity into consideration will be significant while dealing with higher slenderness ratio and smaller loading frequency. For a specific situation, these results are discussed and the slenderness ratio threshold is found equal to 110. It means that for slenderness ratios higher than 110 the effects of geometric nonlinearity becomes significant and should be taken into consideration. 2013-06 Thesis http://eprints.utm.my/id/eprint/41615/ http://eprints.utm.my/id/eprint/41615/5/MostafaMirshekariMFKA2013.pdf application/pdf en public masters Universiti Teknologi Malaysia, Faculty of Civil Engineering Faculty of Civil Engineering
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	TA Engineering (General) Civil engineering (General)
spellingShingle	TA Engineering (General) Civil engineering (General) Mirshekari, Mostafa Dynamic simulation of columns considering geometric nonlinearity
description	Dealing with slender structural columns will make the use of classic elastic dynamic analysis of structures untrustworthy. This will emphasize the importance of developing a method for dynamic analysis of structures taking geometric nonlinearities into consideration. In order to achieve this the equations of motions are formulated, based on finite strain formula and virtual work method. To solve the equation of motion, the usual central difference method is used. The developed method is applied to two cases of columns with different slenderness ratio. The effect of introducing the nonlinear approach for different slenderness ratios of columns is investigated on natural frequency of the first three modes. Also, the relationship between the maximum displacement for a known time step and loading frequency is studied. To find the suitable slenderness ratio threshold when the effect of nonlinearity becomes significant, the relationship between slenderness ratio and the maximum displacement ratio for a known loading frequency is studied. The results show that columns with higher ratio of axial loading over slenderness ratio provide a higher rate of decrease in natural frequencies. It is also found that the effect of taking geometric nonlinearity into consideration will be significant while dealing with higher slenderness ratio and smaller loading frequency. For a specific situation, these results are discussed and the slenderness ratio threshold is found equal to 110. It means that for slenderness ratios higher than 110 the effects of geometric nonlinearity becomes significant and should be taken into consideration.
format	Thesis
qualification_level	Master's degree
author	Mirshekari, Mostafa
author_facet	Mirshekari, Mostafa
author_sort	Mirshekari, Mostafa
title	Dynamic simulation of columns considering geometric nonlinearity
title_short	Dynamic simulation of columns considering geometric nonlinearity
title_full	Dynamic simulation of columns considering geometric nonlinearity
title_fullStr	Dynamic simulation of columns considering geometric nonlinearity
title_full_unstemmed	Dynamic simulation of columns considering geometric nonlinearity
title_sort	dynamic simulation of columns considering geometric nonlinearity
granting_institution	Universiti Teknologi Malaysia, Faculty of Civil Engineering
granting_department	Faculty of Civil Engineering
publishDate	2013
url	http://eprints.utm.my/id/eprint/41615/5/MostafaMirshekariMFKA2013.pdf
_version_	1747816582673858560

Dynamic simulation of columns considering geometric nonlinearity

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