Parametric design of aircraft geometry using partial differential equations

Athanasopoulos, Michael; Ugail, Hassan; Castro, Gabriela

doi:10.1016/j.advengsoft.2008.08.001

Cited by 27 publications

(16 citation statements)

References 13 publications

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“…In the literature there are several CAD/CAE tools focused on the parametric geometric modelling and on the relative aerodynamic optimisation of aeronautical concepts (2)(3)(4)(5) . In the last years, numerous tools, devoted to preliminary aircraft design and including also structural optimisation module, have been developed.…”

Section: Introductionmentioning

confidence: 99%

A parametric associative modelling of aeronautical structural concepts under C⁰, C¹ or C² continuity constraints

Dattoma

Giorgi

Giancane

et al. 2012

Aeronaut. j. (1968)

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In this paper an associative-parametric approach is proposed in order to model the mesh of an aeronautical concept starting from a set of high-level structural primitives. This approach allows the designer to carry out the geometric modelling and the automatic mesh generation within one software environment in a fast and interactive way. The structural optimisation process is then simplified, with a relevant man-hours saving. A lower number of data transfers between different software is, moreover, involved with less problems related to the data corruption. To assure orders of continuity higher than C 0 between adjacent instances, a suitable mathematical description of the structural primitives has been proposed. This description assures the maintenance of the required continuity constraints when the mesh is modified. Appropriate schemes of dependences are identified to guarantee the automatic propagation of the modifications complying with the continuity constraints.

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Section: Introductionmentioning

confidence: 99%

A parametric associative modelling of aeronautical structural concepts under C⁰, C¹ or C² continuity constraints

Dattoma

Giorgi

Giancane

et al. 2012

Aeronaut. j. (1968)

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show abstract

“…Several authors, including Trapp and Sobieczky [1,2], Kulfan [3][4][5], Samareh [6] and Athanasopoulos et al [7], have studied and developed representation techniques and methods to overcome the aforementioned issues with aircraft shape representation. Among configuration design tools for aircraft, Generic Parameterized Aircraft Surface (Ge.P.A.S.)…”

Section: Introductionmentioning

confidence: 99%

Comprehensive aircraft configuration design tool for Integrated Product and Process Development

Azamatov

Lee

Byun

2011

Advances in Engineering Software

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“…The PDE based methods, since their advent two decades ago, have found their applications in a lot of surface modeling tasks, including free-form surface generation (Bloor and Wilson, 1990a), n-sided patch modeling (Bloor and Wilson, 1989a), surface blending (Bloor and Wilson, 1989b), and industrial applications (Athanasopoulos et al, 2009). Compared with the conventional surface modeling methods, the PDE-based methods provide the user with a higher level control of the shape of the generated surfaces using the parameters and the boundary conditions of the PDE instead of many hundreds of control points.…”

Section: Introductionmentioning

confidence: 99%

A Unified Approach to Geometric Modeling of Curves and Surfaces

You¹,

Zhang²

2011

Proceedings of the International Conference on Computer Graphics Theory and Applications

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A unified approach to geometric modeling of curves and surfaces is given. Both a vector-valued fourth and sixth order partial differential equations (PDEs) of motion are proposed. The fourth order PDE covers all existing PDEs used for surface modeling, and the sixth order PDE considers the curvature effect on curves and surfaces. In order to apply these PDEs to create curves and surfaces in real time, we have presented a composite power series method which guarantees the exact satisfaction of boundary conditions, and represents curves and surfaces with analytical mathematical formulae. We have examined the accuracy and efficiency of the proposed method, and employed it to a number of applications of static and dynamic modeling of curves and surfaces, including free-form surface generation and surface blending. It is found that this method has similar computational accuracy and efficiency to the corresponding closed form solution method, and creates curves and surfaces far more efficiently and accurately than numerical methods. In addition, it can deal with complicated shape modeling problems.

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Parametric design of aircraft geometry using partial differential equations

Cited by 27 publications

References 13 publications

A parametric associative modelling of aeronautical structural concepts under C⁰, C¹ or C² continuity constraints

A parametric associative modelling of aeronautical structural concepts under C⁰, C¹ or C² continuity constraints

Comprehensive aircraft configuration design tool for Integrated Product and Process Development

A Unified Approach to Geometric Modeling of Curves and Surfaces

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Parametric design of aircraft geometry using partial differential equations

Cited by 27 publications

References 13 publications

A parametric associative modelling of aeronautical structural concepts under C0, C1 or C2 continuity constraints

A parametric associative modelling of aeronautical structural concepts under C0, C1 or C2 continuity constraints

Comprehensive aircraft configuration design tool for Integrated Product and Process Development

A Unified Approach to Geometric Modeling of Curves and Surfaces

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Product

Resources

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A parametric associative modelling of aeronautical structural concepts under C⁰, C¹ or C² continuity constraints

A parametric associative modelling of aeronautical structural concepts under C⁰, C¹ or C² continuity constraints