Continuum Sensitivity Method for Nonlinear Dynamic Aeroelasticity
| dc.contributor.author | Liu, Shaobin | en |
| dc.contributor.committeechair | Canfield, Robert A. | en |
| dc.contributor.committeemember | Hajj, Muhammad R. | en |
| dc.contributor.committeemember | Kapania, Rakesh K. | en |
| dc.contributor.committeemember | Roy, Christopher J. | en |
| dc.contributor.committeemember | Patil, Mayuresh J. | en |
| dc.contributor.department | Aerospace and Ocean Engineering | en |
| dc.date.accessioned | 2013-06-29T08:00:17Z | en |
| dc.date.available | 2013-06-29T08:00:17Z | en |
| dc.date.issued | 2013-06-28 | en |
| dc.description.abstract | In this dissertation, a continuum sensitivity method is developed for efficient and accurate computation of design derivatives for nonlinear aeroelastic structures subject to transient<br />aerodynamic loads. The continuum sensitivity equations (CSE) are a set of linear partial<br />differential equations (PDEs) obtained by differentiating the original governing equations of<br />the physical system. The linear CSEs may be solved by using the same numerical method<br />used for the original analysis problem. The material (total) derivative, the local (partial)<br />derivative, and their relationship is introduced for shape sensitivity analysis. The CSEs are<br />often posed in terms of local derivatives (local form) for fluid applications and in terms of total<br />derivatives (total form) for structural applications. The local form CSE avoids computing<br />mesh sensitivity throughout the domain, as required by discrete analytic sensitivity methods.<br />The application of local form CSEs to built-up structures is investigated. The difficulty<br />of implementing local form CSEs for built-up structures due to the discontinuity of local<br />sensitivity variables is pointed out and a special treatment is introduced. The application<br />of the local form and the total form CSE methods to aeroelastic problems are compared.<br />Their advantages and disadvantages are discussed, based on their derivations, efficiency,<br />and accuracy. Under certain conditions, the total form continuum method is shown to be<br />equivalent to the analytic discrete method, after discretization, for systems governed by a<br />general second-order PDE. The advantage of the continuum sensitivity method is that less<br />information of the source code of the analysis solver is required. Verification examples are<br />solved for shape sensitivity of elastic, fluid and aeroelastic problems. | en |
| dc.description.degree | Ph. D. | en |
| dc.format.medium | ETD | en |
| dc.identifier.other | vt_gsexam:1344 | en |
| dc.identifier.uri | http://hdl.handle.net/10919/23282 | en |
| dc.publisher | Virginia Tech | en |
| dc.rights | In Copyright | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject | Continuum Sensitivity | en |
| dc.subject | Shape Sensitivity | en |
| dc.subject | Aeroelasticity | en |
| dc.subject | Optimization | en |
| dc.subject | Fluid-structure interaction | en |
| dc.title | Continuum Sensitivity Method for Nonlinear Dynamic Aeroelasticity | en |
| dc.type | Dissertation | en |
| thesis.degree.discipline | Aerospace Engineering | en |
| thesis.degree.grantor | Virginia Polytechnic Institute and State University | en |
| thesis.degree.level | doctoral | en |
| thesis.degree.name | Ph. D. | en |
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