Trigonometric collocation for computation of steady state response of cracked structures

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" Trigonometric collocation for computation of steady state response of cracked structures "
Bakeer Khaled Bakeer Shiryayev, Oleg

Document Type	:	Latin Dissertation
Language of Document	:	English
Record Number	:	803691
Doc. No	:	TL48490
Call number	:	‭1732133858;‮ ‬1602285‬
Main Entry	:	Hazime, Hanan
Title & Author	:	Trigonometric collocation for computation of steady state response of cracked structures\ Bakeer Khaled BakeerShiryayev, Oleg
College	:	The Petroleum Institute (United Arab Emirates)
Date	:	2015
Degree	:	M.S.
field of study	:	Mechanical Engineering
student score	:	2015
Page No	:	101
Note	:	Committee members: Ahmad, Jamal; Barsoum, Imad; Vahdati, Nader
Note	:	Place of publication: United States, Ann Arbor; ISBN=978-1-339-16139-6
Abstract	:	Development of vibration-based structural health monitoring techniques requires the use of various computational methods to predict dynamic responses of damaged structures. The method described in this thesis can be used for computation of steady state harmonic responses for structures with fatigue cracks and may have several advantages over alternative techniques. Such advantages include ease of implementation of the method and time saving in computing the steady state response. The steady state response of the system at a given number of time points distributed over one vibration period is represented in terms of Fourier series containing higher frequency harmonics. Equations of motion are formulated in the form that allows for computation of Fourier coefficients for all terms in the series. Iterative procedure is used for determining the time of stiffness change in order to capture bilinear dynamic behavior.
Subject	:	Mechanical engineering
Descriptor	:	Applied sciences;Breathing crack;Computational method;Finite element analysis;Trigonometric collocation
Added Entry	:	Shiryayev, Oleg
Added Entry	:	Mechanical EngineeringThe Petroleum Institute (United Arab Emirates)