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Numerical Analysis of Nonlinear Parameter-Dependent Systems with Continuation Methods.

紀錄類型:	書目-語言資料,手稿 : Monograph/item
正題名/作者:	Numerical Analysis of Nonlinear Parameter-Dependent Systems with Continuation Methods./
作者:	Spetzler, Max Georg.
面頁冊數:	1 online resource (130 pages)
附註:	Source: Dissertation Abstracts International, Volume: 79-01(E), Section: B.
Contained By:	Dissertation Abstracts International79-01B(E).
標題:	Aerospace engineering. -
電子資源:	click for full text (PQDT)
ISBN:	9780355124835

Numerical Analysis of Nonlinear Parameter-Dependent Systems with Continuation Methods.
Spetzler, Max Georg.

Numerical Analysis of Nonlinear Parameter-Dependent Systems with Continuation Methods. - 1 online resource (130 pages)

Source: Dissertation Abstracts International, Volume: 79-01(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

During the development of most aerospace systems, much effort is spent on deriving detailed models that describe the system dynamics. Powerful analysis tools are then required to extract a comprehensive understanding of the system's behavior throughout its operational envelope from its mathematical description. This dissertation introduces new numerical analysis methods for this purpose, with focus on studying the effect of parameters on the system dynamics. The research extends the methods of numerical bifurcation analysis to address issues specific to the aerospace sector. A framework for bifurcation analysis of multi-parameter systems in the presence of equality constraints on states and parameters is derived first, allowing analysis of particular parts of the operational envelope as specified by the constraints. The approach is then extended to bifurcation analysis of the zero dynamics for systems with input-output structure. To expose how local dynamical properties change throughout the operating envelope of the system, a method for computation of equilibrium conditions that satisfy constraints involving the eigenmodes of the linearized dynamics is developed next. A modification to the pseudo-arclength continuation algorithm underlying these methods is suggested to enable application to problems that are continuous, but only piecewise differentiable. Finally, a method to verify that the operating equilibrium of a system with parameter uncertainty does not experience bifurcation for any parameter combination is derived.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355124835Subjects--Topical Terms:

686400
Aerospace engineering.
Index Terms--Genre/Form:

554714
Electronic books.

Numerical Analysis of Nonlinear Parameter-Dependent Systems with Continuation Methods.
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245 1 0 $a Numerical Analysis of Nonlinear Parameter-Dependent Systems with Continuation Methods.
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300 $a 1 online resource (130 pages)
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500 $a Source: Dissertation Abstracts International, Volume: 79-01(E), Section: B.
500 $a Adviser: Anshu Narang-Siddarth.
502 $a Thesis (Ph.D.) $c University of Washington $d 2017.
504 $a Includes bibliographical references
520 $a During the development of most aerospace systems, much effort is spent on deriving detailed models that describe the system dynamics. Powerful analysis tools are then required to extract a comprehensive understanding of the system's behavior throughout its operational envelope from its mathematical description. This dissertation introduces new numerical analysis methods for this purpose, with focus on studying the effect of parameters on the system dynamics. The research extends the methods of numerical bifurcation analysis to address issues specific to the aerospace sector. A framework for bifurcation analysis of multi-parameter systems in the presence of equality constraints on states and parameters is derived first, allowing analysis of particular parts of the operational envelope as specified by the constraints. The approach is then extended to bifurcation analysis of the zero dynamics for systems with input-output structure. To expose how local dynamical properties change throughout the operating envelope of the system, a method for computation of equilibrium conditions that satisfy constraints involving the eigenmodes of the linearized dynamics is developed next. A modification to the pseudo-arclength continuation algorithm underlying these methods is suggested to enable application to problems that are continuous, but only piecewise differentiable. Finally, a method to verify that the operating equilibrium of a system with parameter uncertainty does not experience bifurcation for any parameter combination is derived.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Aerospace engineering. $3 686400
650 4 $a Engineering. $3 561152
655 7 $a Electronic books. $2 local $3 554714
690 $a 0538
690 $a 0537
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a University of Washington. $b Aeronautics and Astronautics. $3 1178958
773 0 $t Dissertation Abstracts International $g 79-01B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10599063 $z click for full text (PQDT)