Tolerance Analysis and Synthesis by Means of Deviation Domains, Axi-Symmetric Cases

Giordano, Max; Samper, Serge; Petit, Jean-Philippe

doi:10.1007/1-4020-5438-6_10

Cited by 61 publications

(41 citation statements)

References 5 publications

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“…The authors present a solution, in torsorial form, for the problems of coupling between the thermal requests and the geometrical defects. A worst case tolerancing and the Minkowski sum tool leads to model the tolerated limits of the geometric defects of a part by deviation hulls [15] and the accepted limits of relative displacement between two surfaces in contact by clearance hulls [15]. Mansuy et al proposed a new calculation method rather than using the Minkowski sum.…”

Section: Tolerance Analysis and Synthesismentioning

confidence: 99%

An algorithm for CAD tolerancing integration: Generation of assembly configurations according to dimensional and geometrical tolerances

Louhichi

Tlija

Benamara

et al. 2015

Computer-Aided Design

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Section: Tolerance Analysis and Synthesismentioning

confidence: 99%

An algorithm for CAD tolerancing integration: Generation of assembly configurations according to dimensional and geometrical tolerances

Louhichi

Tlija

Benamara

et al. 2015

Computer-Aided Design

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“…A functional condition expressed between any two surfaces of a mechanism is characterised by a functional polytope. Respecting a functional condition is simulated by including a calculated polytope in the functional polytope [1], [11] and [12]. The calculated polytope is the result of operations (Minkowski sums and intersections) between geometric polytopes and contact polytopes.…”

Section: Variability Due To Manufacturing and Assembly Processesmentioning

confidence: 99%

Variational tolerancing analysis taking thermomechanical strains into account: Application to a high pressure turbine

Pierre¹,

Teissandier²,

Nadeau³

2014

Mechanism and Machine Theory

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible. Abstract:The aim of this study is to propose a variational method of tolerancing analysis using a multiphysical approach. This method is based on operations on polytopes (Minkowski sum and intersection) and can be used to validate geometric specifications, contact specifications and thermomechanical specifications. The first part describes how thermomechanical strains are integrated into a tolerancing analysis tool, based on operations on polytopes. In the second part correlations are defined between two turbine performance criteria, leakage section and risk of touching, and two geometric conditions respectively. In the third part, the influence of design choices is described, in particular the influence of the shape of the parts and the behaviour of the joints on the thermomechanical operating regime of the turbine. Two turbine architectures are considered in relation to the same two performance criteria, and lastly the main turbine architecture results are discussed and future developments described.

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“…Note d 1,1/1,2 the Small Displacement Torsor, characterising the relative position of 1,1 in relation to 1,2. In the base (x, y, z) at point A d 1,1/1,2 is expressed as follows: The deviation hull D 1,1/1,2 characterising the coaxiality specification of 1,1 in relation to 1,2 can be written [6,13]:…”

Section: Formalisation Of Relations Between Functional Condition Geomentioning

confidence: 99%

“…In this article, deviation hulls [6] to define the admissible limits for geometrical defaults in a part (defined by a specification) and clearance hulls to define the admissible limits for relative displacements between two surfaces in contact (defined by a clearance) [13] will be used. Note d 1,1/1,2 the Small Displacement Torsor, characterising the relative position of 1,1 in relation to 1,2.…”

Section: Formalisation Of Relations Between Functional Condition Geomentioning

confidence: 99%

Integration of thermomechanical strains into tolerancing analysis

Pierre

Teissandier

Nadeau

2009

Int J Interact Des Manuf

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To improve the performance of a helicopter turboshaft engine requires optimising the energy yield of the different components, and more particularly controlling clearance between the tips of the high pressure turbine blades and the stator. Dimension-chain tools take into account the manufacturing dispersion of the parts and assembly defects. This ensures the interchangeability of the different components and guarantees that a turbine can carry out different service functions, as the turbine is modelled in infinitely rigid solids. However, this approach does not take thermomechanical effects into account. And yet, the different operating regimes of a helicopter engine make it indispensable that the effects caused by the thermodynamic cycle should be integrated. The aim of this article is to show how using dimension chain and thermomechanical tools can contribute to controlling clearances at the tip of a high pressure turbine blade.

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Tolerance Analysis and Synthesis by Means of Deviation Domains, Axi-Symmetric Cases

Abstract: . Tolerance analysis and synthesis by means of deviation domains, axi-symmetric cases. J Davidson. Models for computer aided tolerancing in design and manufacturing, springer, pp. 84-94, 2007, engineering, <10.1007/1-4020-5438-6_10>.

Cited by 61 publications

References 5 publications

An algorithm for CAD tolerancing integration: Generation of assembly configurations according to dimensional and geometrical tolerances

An algorithm for CAD tolerancing integration: Generation of assembly configurations according to dimensional and geometrical tolerances

Variational tolerancing analysis taking thermomechanical strains into account: Application to a high pressure turbine

Integration of thermomechanical strains into tolerancing analysis

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