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Finite Element Model Updating of Exponential Non-Viscous Damping Systems
Finite Element Model Updating of Exponential Non-Viscous Damping Systems
Finite Element Model Updating of Exponential Non-Viscous Damping Systems

상세정보

자료유형  
 학위논문 서양
최종처리일시  
20260209102903
ISBN  
9798265400918
DDC  
658
저자명  
Otsuki, Yu.
서명/저자  
Finite Element Model Updating of Exponential Non-Viscous Damping Systems
발행사항  
[Sl] : Georgia Institute of Technology, 2023
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2023
형태사항  
303 p
주기사항  
Source: Dissertations Abstracts International, Volume: 87-05, Section: B.
주기사항  
Advisor: Wang, Yang.
학위논문주기  
Thesis (Ph.D.)--Georgia Institute of Technology, 2023.
초록/해제  
요약Finite element (FE) models are mathematical representations that simulate the physical behavior of various engineering systems. The majority of engineering structural models employ viscous damping due to its mathematical simplicity. However, significant differences can exist between the actual damping behavior of structural systems and the prediction of a viscous damping model. Alternatively, "non-viscous damping", which uses a kernel function and a convolutional integral in the equation of motion, has been proposed to incorporate time-hysteresis damping effects that are absent in viscous damping. Compared to undamped or viscous damping systems, there have been very limited studies on the FE model updating of non-viscous damping systems, especially in their practical applications and validations with real-world as-built structures. The objective of this thesis is to develop diverse approaches for FE model updating of non-viscous damping systems using exponential kernel functions. Additionally, the thesis performs experimental validation and comparison between the proposed non-viscous damping approaches and conventional viscous damping approaches.With the time-domain approach, this research first investigates various aspects of the estimation problem for non-viscous damping systems compared to viscous damping systems, employing both recursive and batch Bayesian estimation methods. Comparative studies between the recursive and batch approaches provide valuable insights into their estimation performance. When using the frequency-domain approach, this thesis proposes an optimization formulation for updating stiffness and damping parameters in non-proportional and exponential non-viscous damping systems. The proposed formulation utilizes complex eigenvalues and eigenvectors based on findings from system identification studies. The analytical gradient of the proposed optimization formulation is derived to improve computational efficiency, allowing its application to large-scale structures. Experimental validation and comparison between viscous and non-viscous damping approaches are conducted on a four-story structure and a full-scale steel pedestrian bridge located at the Georgia Institute of Technology.Motivated by the inadequacy of viscous damping in accurately representing actual damping phenomena of structural systems, this thesis introduces a new method to the field of FE model updating by incorporating non-viscous damping. This advancement allows for broader applications of non-viscous damping in a multitude of diverse engineering systems and enables more accurate characterization of their dynamic behaviors through the updated model.
일반주제명  
Behavior
일반주제명  
Fourier transforms
일반주제명  
Causality
일반주제명  
Energy dissipation
일반주제명  
Eigenvalues
일반주제명  
Deformation
일반주제명  
Viscoelasticity
일반주제명  
Eigenvectors
일반주제명  
Vibration
일반주제명  
Materials science
일반주제명  
Mathematics
일반주제명  
Mechanics
기타저자  
Georgia Institute of Technology.
기본자료저록  
Dissertations Abstracts International. 87-05B.
전자적 위치 및 접속  
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MARC

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■1001  ▼aOtsuki,  Yu.
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■300    ▼a303  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  87-05,  Section:  B.
■500    ▼aAdvisor:  Wang,  Yang.
■5021  ▼aThesis  (Ph.D.)--Georgia  Institute  of  Technology,  2023.
■520    ▼aFinite  element  (FE)  models  are  mathematical  representations  that  simulate  the  physical  behavior  of  various  engineering  systems.  The  majority  of  engineering  structural  models  employ  viscous  damping  due  to  its  mathematical  simplicity.  However,  significant  differences  can  exist  between  the  actual  damping  behavior  of  structural  systems  and  the  prediction  of  a  viscous  damping  model.  Alternatively,  "non-viscous  damping",  which  uses  a  kernel  function  and  a  convolutional  integral  in  the  equation  of  motion,  has  been  proposed  to  incorporate  time-hysteresis  damping  effects  that  are  absent  in  viscous  damping.  Compared  to  undamped  or  viscous  damping  systems,  there  have  been  very  limited  studies  on  the  FE  model  updating  of  non-viscous  damping  systems,  especially  in  their  practical  applications  and  validations  with  real-world  as-built  structures.  The  objective  of  this  thesis  is  to  develop  diverse  approaches  for  FE  model  updating  of  non-viscous  damping  systems  using  exponential  kernel  functions.  Additionally,  the  thesis  performs  experimental  validation  and  comparison  between  the  proposed  non-viscous  damping  approaches  and  conventional  viscous  damping  approaches.With  the  time-domain  approach,  this  research  first  investigates  various  aspects  of  the  estimation  problem  for  non-viscous  damping  systems  compared  to  viscous  damping  systems,  employing  both  recursive  and  batch  Bayesian  estimation  methods.  Comparative  studies  between  the  recursive  and  batch  approaches  provide  valuable  insights  into  their  estimation  performance.  When  using  the  frequency-domain  approach,  this  thesis  proposes  an  optimization  formulation  for  updating  stiffness  and  damping  parameters  in  non-proportional  and  exponential  non-viscous  damping  systems.  The  proposed  formulation  utilizes  complex  eigenvalues  and  eigenvectors  based  on  findings  from  system  identification  studies.  The  analytical  gradient  of  the  proposed  optimization  formulation  is  derived  to  improve  computational  efficiency,  allowing  its  application  to  large-scale  structures.  Experimental  validation  and  comparison  between  viscous  and  non-viscous  damping  approaches  are  conducted  on  a  four-story  structure  and  a  full-scale  steel  pedestrian  bridge  located  at  the  Georgia  Institute  of  Technology.Motivated  by  the  inadequacy  of  viscous  damping  in  accurately  representing  actual  damping  phenomena  of  structural  systems,  this  thesis  introduces  a  new  method  to  the  field  of  FE  model  updating  by  incorporating  non-viscous  damping.  This  advancement  allows  for  broader  applications  of  non-viscous  damping  in  a  multitude  of  diverse  engineering  systems  and  enables  more  accurate  characterization  of  their  dynamic  behaviors  through  the  updated  model.
■590    ▼aSchool  code:  0078.
■650  4▼aBehavior
■650  4▼aFourier  transforms
■650  4▼aCausality
■650  4▼aEnergy  dissipation
■650  4▼aEigenvalues
■650  4▼aDeformation
■650  4▼aViscoelasticity
■650  4▼aEigenvectors
■650  4▼aVibration
■650  4▼aMaterials  science
■650  4▼aMathematics
■650  4▼aMechanics
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■690    ▼a0405
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■71020▼aGeorgia  Institute  of  Technology.
■7730  ▼tDissertations  Abstracts  International▼g87-05B.
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■791    ▼aPh.D.
■792    ▼a2023
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17365958▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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