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Application Of Asymptotic Waveform Evaluation (AWE) Method In Solving Thermal And Vibration Problems

Asymptotic Waveform Evaluation (AWE), which has been used in transient circuit simulation, is extended for solving mechanical engineering problems. AWE is based on the concept of approximating the original system with a reduced order system. Thus, it is efficient and powerful than conventional...

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Main Author: Loh, Jit Seng
Format: Monograph
Language:English
Published: Universiti Sains Malaysia 2003
Subjects:
T Technology
TJ Mechanical engineering and machinery
Online Access:http://eprints.usm.my/57097/1/Application%20Of%20Asymptotic%20Waveform%20Evaluation%20%28AWE%29%20Method%20In%20Solving%20Thermal%20And%20Vibration%20Problems_Loh%20Jit%20Seng.pdf
http://eprints.usm.my/57097/
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spelling my.usm.eprints.57097 http://eprints.usm.my/57097/ Application Of Asymptotic Waveform Evaluation (AWE) Method In Solving Thermal And Vibration Problems Loh, Jit Seng T Technology TJ Mechanical engineering and machinery Asymptotic Waveform Evaluation (AWE), which has been used in transient circuit simulation, is extended for solving mechanical engineering problems. AWE is based on the concept of approximating the original system with a reduced order system. Thus, it is efficient and powerful than conventional numerical method because it requires much less computational time but also produces the same accuracy. AWE is capable of solving first, second, third and even higher order linear differential equation. AWE can handle one or even a set of linear differential equations. Thus, AWE is suitably used with Finite Element Method (FEM), where the final equation is usually reduced to a set of linear differential equations that is to be solved for its transient solution. However, AWE is known for producing unstable response even for stable system. Higher order approximation also will not always guarantee a more accurate and stable solution. Thus, some modification has to be made to stabilize its solution. In this project, AWE has proved its capability in solving transient thermal and vibration problems. AWE, together with FEM, is used to solve one dimensional fin problem with varying or constant temperature boundary condition imposed at the base. Then, it is also used to solve hyperbolic (Non-Fourier) heat conduction equation on two and three dimensional finite element model. The accuracy and instability of AWE are also discussed and two stability schemes are introduced to address this problem. Nevertheless, AWE is also used in vibration analysis of beam, where dynamic force such as impulse, step or sinusoidal force, is imposed. Lastly, AWE is used to solve third order differential equation. AWE has proved to produce transient solution as accurate as Crank-Nicolson, Rungge-Kutta and also Ansys software. However, AWE can produce the solution much faster than these three methods. Universiti Sains Malaysia 2003-02-01 Monograph NonPeerReviewed application/pdf en http://eprints.usm.my/57097/1/Application%20Of%20Asymptotic%20Waveform%20Evaluation%20%28AWE%29%20Method%20In%20Solving%20Thermal%20And%20Vibration%20Problems_Loh%20Jit%20Seng.pdf Loh, Jit Seng (2003) Application Of Asymptotic Waveform Evaluation (AWE) Method In Solving Thermal And Vibration Problems. Project Report. Universiti Sains Malaysia, Pusat Pengajian Kejuruteraan Mekanikal. (Submitted)
institution Universiti Sains Malaysia
building Hamzah Sendut Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sains Malaysia
content_source USM Institutional Repository
url_provider http://eprints.usm.my/
language English
topic T Technology
TJ Mechanical engineering and machinery
spellingShingle T Technology
TJ Mechanical engineering and machinery
Loh, Jit Seng
Application Of Asymptotic Waveform Evaluation (AWE) Method In Solving Thermal And Vibration Problems
description Asymptotic Waveform Evaluation (AWE), which has been used in transient circuit simulation, is extended for solving mechanical engineering problems. AWE is based on the concept of approximating the original system with a reduced order system. Thus, it is efficient and powerful than conventional numerical method because it requires much less computational time but also produces the same accuracy. AWE is capable of solving first, second, third and even higher order linear differential equation. AWE can handle one or even a set of linear differential equations. Thus, AWE is suitably used with Finite Element Method (FEM), where the final equation is usually reduced to a set of linear differential equations that is to be solved for its transient solution. However, AWE is known for producing unstable response even for stable system. Higher order approximation also will not always guarantee a more accurate and stable solution. Thus, some modification has to be made to stabilize its solution. In this project, AWE has proved its capability in solving transient thermal and vibration problems. AWE, together with FEM, is used to solve one dimensional fin problem with varying or constant temperature boundary condition imposed at the base. Then, it is also used to solve hyperbolic (Non-Fourier) heat conduction equation on two and three dimensional finite element model. The accuracy and instability of AWE are also discussed and two stability schemes are introduced to address this problem. Nevertheless, AWE is also used in vibration analysis of beam, where dynamic force such as impulse, step or sinusoidal force, is imposed. Lastly, AWE is used to solve third order differential equation. AWE has proved to produce transient solution as accurate as Crank-Nicolson, Rungge-Kutta and also Ansys software. However, AWE can produce the solution much faster than these three methods.
format Monograph
author Loh, Jit Seng
author_facet Loh, Jit Seng
author_sort Loh, Jit Seng
title Application Of Asymptotic Waveform Evaluation (AWE) Method In Solving Thermal And Vibration Problems
title_short Application Of Asymptotic Waveform Evaluation (AWE) Method In Solving Thermal And Vibration Problems
title_full Application Of Asymptotic Waveform Evaluation (AWE) Method In Solving Thermal And Vibration Problems
title_fullStr Application Of Asymptotic Waveform Evaluation (AWE) Method In Solving Thermal And Vibration Problems
title_full_unstemmed Application Of Asymptotic Waveform Evaluation (AWE) Method In Solving Thermal And Vibration Problems
title_sort application of asymptotic waveform evaluation (awe) method in solving thermal and vibration problems
publisher Universiti Sains Malaysia
publishDate 2003
url http://eprints.usm.my/57097/1/Application%20Of%20Asymptotic%20Waveform%20Evaluation%20%28AWE%29%20Method%20In%20Solving%20Thermal%20And%20Vibration%20Problems_Loh%20Jit%20Seng.pdf
http://eprints.usm.my/57097/
_version_ 1759690262131507200
score 13.211869

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