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Geometrically Nonlinear Methods for High-Fidelity MDO of Very Flexible Aircraft
Geometrically Nonlinear Methods for High-Fidelity MDO of Very Flexible Aircraft
Geometrically Nonlinear Methods for High-Fidelity MDO of Very Flexible Aircraft

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자료유형  
 학위논문 서양
최종처리일시  
20260202105234
ISBN  
9798291567623
DDC  
629.1
저자명  
Christison Gray, Alasdair.
서명/저자  
Geometrically Nonlinear Methods for High-Fidelity MDO of Very Flexible Aircraft
발행사항  
[Sl] : University of Michigan, 2025
발행사항  
Ann Arbor : ProQuest Dissertations & Theses, 2025
형태사항  
274 p
주기사항  
Source: Dissertations Abstracts International, Volume: 87-03, Section: B.
주기사항  
Advisor: Martins, Joaquim R. R. A.
학위논문주기  
Thesis (Ph.D.)--University of Michigan, 2025.
초록/해제  
요약Over the past decade, advances in multidisciplinary design optimization (MDO) have enabled the optimization of aircraft wings using high-fidelity simulations of their coupled aerodynamic and structural behavior. Using RANS CFD and detailed structural finite element models, the aerodynamic shape and internal structural sizing of a wing can be optimized concurrently to tailor the wing's aeroelastic behavior and optimally trade-off drag and structural mass. This capability makes MDO a key enabling technology for the next generation of efficient high-aspect-ratio transport aircraft. However, as their aspect ratios increase, these wings increasingly exhibit geometrically nonlinear behavior that linear structural analysis methods cannot model correctly. The purpose of this dissertation is both to address some of the challenges of including these nonlinear structural models in large scale wing design problems, and to investigate whether doing so is really necessary.To enable this, I first develop a benchmark model and series of aerostructural optimization problems. The model is intended to be a simpler and more accessible alternative to the more complex uCRM benchmark model. I also define a set of three optimization problems with increasing complexity, progressing from structural sizing with a fixed geometry, to fuel burn minimization with both a fixed and variable wing planform. This benchmark has enabled researchers from across different countries and institutions have been able to compare their aerostructural optimization tools on the same problem for the first time. The optimal wing designs produced by solving the third benchmark problem feature high aspect ratios and in-flight deflections that are larger than those of current commercial aircraft, making them suitable for investigating the impact of geometric nonlinearity on optimal wing design.I then implement a series of methods to enable high-fidelity aerostructural optimization using geometrically nonlinear static and dynamic aeroelastic analyses. In the finite element library TACS, I implement an efficient and robust nonlinear static solver based on the Newton-Raphson method and a predictor-corrector continuation algorithm. I also implemented a shell constitutive model that balances design freedom with the ability to consider the variety of failure modes necessary for sizing stiffened composite panels. Using the MPhys multiphysics coupling framework, I couple these capabilities with a high-fidelity RANS CFD solver using a geometrically nonlinear load and displacement transfer scheme, enabling fully geometrically nonlinear aeroelastic analysis, gradient computation, and optimization.I then extend an "appropriate-fidelity" method for high-fidelity aerostructural optimization considering the effect of geometric nonlinearity on a wing's flutter stability boundary. The geometrically nonlinear flutter constraint is evaluated by condensing a detailed structural model to a simpler, but geometrically nonlinear beam model. The resulting low-fidelity aeroelastic model captures the impact of in-flight deflections on the flutter boundary with computational effort and robustness adequate for optimization, while other quantities of interest, such as cruise range and peak stress levels, are evaluated by using the detailed model. The flutter constraint is differentiated using the adjoint method to enable large-scale gradient-based optimization with large numbers of structural sizing and geometric design variables.Using these capabilities, I perform a series of analysis and optimization studies to investigate when and how geometric nonlinearity affects the optimal design of high-aspect-ratio wings. I find that the nonlinear static aeroelastic effects have surprisingly small impact on the optimal trade-off between cruise drag and structural mass for high-aspect-ratio wings, even at deflection levels where nonlinear is traditionally thought necessary. However, I also find that geometric nonlinearity can have a significant impact on when and how a wing will flutter, and how it should be designed to avoid such instabilities. This is the case even when the wing's in-flight deflections are well predicted by a linear model.
일반주제명  
Aerospace engineering
일반주제명  
Engineering
일반주제명  
Fluid mechanics
일반주제명  
Mechanical engineering
키워드  
Multidisciplinary design optimization
키워드  
Aerostructural optimization
키워드  
Geometric nonlinearity
키워드  
Structural behavior
키워드  
Computational effort
기타저자  
University of Michigan Aerospace Engineering
기본자료저록  
Dissertations Abstracts International. 87-03B.
전자적 위치 및 접속  
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MARC

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■1001  ▼aChristison  Gray,  Alasdair.
■24510▼aGeometrically  Nonlinear  Methods  for  High-Fidelity  MDO  of  Very  Flexible  Aircraft
■260    ▼a[Sl]▼bUniversity  of  Michigan▼c2025
■260  1▼aAnn  Arbor▼bProQuest  Dissertations  &  Theses▼c2025
■300    ▼a274  p
■500    ▼aSource:  Dissertations  Abstracts  International,  Volume:  87-03,  Section:  B.
■500    ▼aAdvisor:  Martins,  Joaquim  R.  R.  A.
■5021  ▼aThesis  (Ph.D.)--University  of  Michigan,  2025.
■520    ▼aOver  the  past  decade,  advances  in  multidisciplinary  design  optimization  (MDO)  have  enabled  the  optimization  of  aircraft  wings  using  high-fidelity  simulations  of  their  coupled  aerodynamic  and  structural  behavior.  Using  RANS  CFD  and  detailed  structural  finite  element  models,  the  aerodynamic  shape  and  internal  structural  sizing  of  a  wing  can  be  optimized  concurrently  to  tailor  the  wing's  aeroelastic  behavior  and  optimally  trade-off  drag  and  structural  mass.  This  capability  makes  MDO  a  key  enabling  technology  for  the  next  generation  of  efficient  high-aspect-ratio  transport  aircraft.  However,  as  their  aspect  ratios  increase,  these  wings  increasingly  exhibit  geometrically  nonlinear  behavior  that  linear  structural  analysis  methods  cannot  model  correctly.  The  purpose  of  this  dissertation  is  both  to  address  some  of  the  challenges  of  including  these  nonlinear  structural  models  in  large  scale  wing  design  problems,  and  to  investigate  whether  doing  so  is  really  necessary.To  enable  this,  I  first  develop  a  benchmark  model  and  series  of  aerostructural  optimization  problems.  The  model  is  intended  to  be  a  simpler  and  more  accessible  alternative  to  the  more  complex  uCRM  benchmark  model.  I  also  define  a  set  of  three  optimization  problems  with  increasing  complexity,  progressing  from  structural  sizing  with  a  fixed  geometry,  to  fuel  burn  minimization  with  both  a  fixed  and  variable  wing  planform.  This  benchmark  has  enabled  researchers  from  across  different  countries  and  institutions  have  been  able  to  compare  their  aerostructural  optimization  tools  on  the  same  problem  for  the  first  time.  The  optimal  wing  designs  produced  by  solving  the  third  benchmark  problem  feature  high  aspect  ratios  and  in-flight  deflections  that  are  larger  than  those  of  current  commercial  aircraft,  making  them  suitable  for  investigating  the  impact  of  geometric  nonlinearity  on  optimal  wing  design.I  then  implement  a  series  of  methods  to  enable  high-fidelity  aerostructural  optimization  using  geometrically  nonlinear  static  and  dynamic  aeroelastic  analyses.  In  the  finite  element  library  TACS,  I  implement  an  efficient  and  robust  nonlinear  static  solver  based  on  the  Newton-Raphson  method  and  a  predictor-corrector  continuation  algorithm.  I  also  implemented  a  shell  constitutive  model  that  balances  design  freedom  with  the  ability  to  consider  the  variety  of  failure  modes  necessary  for  sizing  stiffened  composite  panels.  Using  the  MPhys  multiphysics  coupling  framework,  I  couple  these  capabilities  with  a  high-fidelity  RANS  CFD  solver  using  a  geometrically  nonlinear  load  and  displacement  transfer  scheme,  enabling  fully  geometrically  nonlinear  aeroelastic  analysis,  gradient  computation,  and  optimization.I  then  extend  an  "appropriate-fidelity"  method  for  high-fidelity  aerostructural  optimization  considering  the  effect  of  geometric  nonlinearity  on  a  wing's  flutter  stability  boundary.  The  geometrically  nonlinear  flutter  constraint  is  evaluated  by  condensing  a  detailed  structural  model  to  a  simpler,  but  geometrically  nonlinear  beam  model.  The  resulting  low-fidelity  aeroelastic  model  captures  the  impact  of  in-flight  deflections  on  the  flutter  boundary  with  computational  effort  and  robustness  adequate  for  optimization,  while  other  quantities  of  interest,  such  as  cruise  range  and  peak  stress  levels,  are  evaluated  by  using  the  detailed  model.  The  flutter  constraint  is  differentiated  using  the  adjoint  method  to  enable  large-scale  gradient-based  optimization  with  large  numbers  of  structural  sizing  and  geometric  design  variables.Using  these  capabilities,  I  perform  a  series  of  analysis  and  optimization  studies  to  investigate  when  and  how  geometric  nonlinearity  affects  the  optimal  design  of  high-aspect-ratio  wings.  I  find  that  the  nonlinear  static  aeroelastic  effects  have  surprisingly  small  impact  on  the  optimal  trade-off  between  cruise  drag  and  structural  mass  for  high-aspect-ratio  wings,  even  at  deflection  levels  where  nonlinear  is  traditionally  thought  necessary.  However,  I  also  find  that  geometric  nonlinearity  can  have  a  significant  impact  on  when  and  how  a  wing  will  flutter,  and  how  it  should  be  designed  to  avoid  such  instabilities.  This  is  the  case  even  when  the  wing's  in-flight  deflections  are  well  predicted  by  a  linear  model.
■590    ▼aSchool  code:  0127.
■650  4▼aAerospace  engineering
■650  4▼aEngineering
■650  4▼aFluid  mechanics
■650  4▼aMechanical  engineering
■653    ▼aMultidisciplinary  design  optimization
■653    ▼aAerostructural  optimization
■653    ▼aGeometric  nonlinearity
■653    ▼aStructural  behavior
■653    ▼aComputational  effort
■690    ▼a0538
■690    ▼a0548
■690    ▼a0537
■690    ▼a0204
■71020▼aUniversity  of  Michigan▼bAerospace  Engineering.
■7730  ▼tDissertations  Abstracts  International▼g87-03B.
■790    ▼a0127
■791    ▼aPh.D.
■792    ▼a2025
■793    ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17359911▼nKERIS▼z이  자료의  원문은  한국교육학술정보원에서  제공합니다.

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