Local continuum shape sensitivity with spatial gradient reconstruction

Cross, David M.; Canfield, Robert A.

doi:10.1007/s00158-014-1092-0

Cited by 19 publications

(9 citation statements)

References 22 publications

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“…Spatial gradient reconstruction (SGR) was demonstrated as a means to improve CSA accuracy in a controllable and nonintrusive manner. Three journal articles [1][2][3] were published and four others [4][5][6][7] submitted for publication documenting the funded research. Seven conference papers were presented during the performance period [8][9][10][11][12][13][14].…”

Section: Discussionmentioning

confidence: 99%

“…• This research marks the first application of local CSA for linear [3] and nonlinear analysis [4] of structural models using plate elements. It is the first demonstration of implementing local AFOSR GRANT #FA9550-11-1-0117…”

Section: Accomplishmentsmentioning

confidence: 99%

“…The continuum method only requires knowledge of the governing equations, the numerical solutions and the spatial gradients of the solutions for the governing equations. Thus, the CSE method can be implemented by treating the existing analysis solver as a "black box" [3].…”

Section: Accomplishmentsmentioning

confidence: 99%

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Continuum Shape Sensitivity For Nonlinear Aeroelastic Gust Response

Canfield¹

2014

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Section: Discussionmentioning

confidence: 99%

Section: Accomplishmentsmentioning

confidence: 99%

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Continuum Shape Sensitivity For Nonlinear Aeroelastic Gust Response

Canfield¹

2014

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“…The spatial gradients appearing in Eqs. (5) and (6) were reconstructed using the SGR technique [8][9]. SGR was applied to get 2D and 3D spatial derivatives of displacements and stresses.…”

Section: (4)mentioning

confidence: 99%

“…More recently Liu and Canfield [7] demonstrated the viability of BV-CSA for higher-order pelements. Subsequently, Cross and Canfield [8] demonstrated that, following Zienkiewicz and Zhu [9], spatial gradient reconstruction (SGR) from multi-layer patches of elements could recover the rate of convergence of the FEM analysis in BV-CSA. Input bulk data for SGR patches have been defined in ASTROS.…”

Section: Introductionmentioning

confidence: 99%

Shape Continuum Sensitivity Analysis using ASTROS and CAPS

Canfield

Durscher

Bryson

et al. 2019

AIAA Scitech 2019 Forum

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Continuum Sensitivity Analysis (CSA) is an analytic method that may compute derivatives with respective to shape variables, which may be formulated in fundamentally different ways. The boundary velocity formulation of CSA presented here enables an element-agnostic implementation that hinges upon post-processing of output from the analysis solver using a nonintrusive spatial gradient reconstruction (SGR) technique. SGR has been implemented as a module in the Automated Structural Optimization System (ASTROS). SGR provides the spatial derivatives used in conjunction with geometric sensitivity, also known as the design velocity, to form the convective term of CSA boundary conditions. The Computational Aircraft Prototype Syntheses (CAPS) program represents parametric associative geometry of solids and surfaces that conveniently provides the geometric sensitivity essential to forming the CSA boundary conditions. A procedure is described here that uses CAPS to provide the surface geometry, geometric sensitivity, and mesh of a finite element model for which ASTROS is used to perform SGR of the structural analysis output and then perform CSA. Results from a simple beam bending model in two-and three-dimensional space verify, against an analytic solution, the implementation of shape CSA using ASTROS and CAPS.

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