Available online at www.sciencedirect.com
2212-8271 © 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license
(http://creativecommons.org/licenses/by-nc-nd/4.0/).
Peer-review under responsibility of the organizing committee of 13th CIRP conference on Computer Aided Tolerancing
doi:10.1016/j.procir.2015.04.036
Procedia CIRP 27 (2015) 10 – 15
ScienceDirect
13th CIRP Conference on Computer Aided Tolerancing
Tolerance Analysis of rotating Mechanism
based on Skin Model Shapes in discrete Geometry
B. Schleich
a,*
, S. Wartzack
a
a
Chair of Engineering Design KTmfk, Friedrich-Alexander-University Erlangen-N¨ urnberg, Martensstraße 9, 91058 Erlangen, Germany
∗
Corresponding author. Tel.: +49-(0)9131-85-23220; fax: +49-(0)9131-85-23223. E-mail address: schleich@mfk.fau.de
Abstract
Geometric deviations are inevitably observable on every manufactured workpiece. These deviations affect the function and quality of mechanical
products and have therefore to be controlled by geometric tolerances. Computer-aided tolerancing aims at supporting design, manufacturing, and
inspection by determining and quantifying these effects of geometric deviations on the product quality and the functional behaviour. However,
most established tolerance representation schemes imply abstractions of geometric deviations and are not conform with the standards for
geometric dimensioning and tolerancing. These limitations led to the development of a Skin Model inspired framework for the tolerance analysis,
which is based on a representation of non-ideal workpieces employing discrete geometry representation schemes, such as point clouds and surface
meshes. In this contribution, this Skin Model inspired framework for computer aided tolerancing is extended to systems in motion and applied
to the tolerance analysis of rotating mechanism with higher kinematic pairs. For this purpose, the generation of non-ideal part representatives,
as well as their processing with algorithms for registration and computational geometry are highlighted. Finally, the results are visualized and
interpreted. The procedure as well as the simulation model itself are shown in a case study of a disk cam mechanism.
c 2015 The Authors. Published by Elsevier B.V.
Peer-review under responsibility of the organizing committee of 13th CIRP Conference on Computer Aided Tolerancing.
Keywords: Skin Model; Tolerance Analysis; Rotating Mechanism; Discrete Geometry; Computational Geometry.
Nomenclature
CAD Computer Aided Design
CAT Computer Aided Tolerancing
(F)KC (Functional) Key Characteristic
GPS Geometric Product Specification and Verification
ISO International Organization for Standardization
ICP Iterative Closest Point
1. Introduction
Geometric deviations are inevitably observable on every
manufactured workpiece. These deviations affect the functional
compliance and quality of mechanical products and have there-
fore to be controlled by geometric tolerances. Thus, toleranc-
ing is a key activity in order to realize high quality mechanism
manufactured at moderate costs. It is a responsible task, which
requires a high level of expertise. Computer-aided tolerancing
(CAT) aims at supporting design, manufacturing, and inspec-
tion by determining and quantifying the effects of geometric
deviations on the product quality and the functional behaviour.
In the context of CAT, the representation of geometric devia-
tions is still a key issue in tolerance simulation modelling, since
most established tolerance representation schemes imply ab-
stractions of geometric deviations. Many models for the repre-
sentation of geometric deviations, which are subsumed as vari-
ational geometry approaches and used for the displacement ac-
cumulation, and for the representation of geometric tolerances,
which are referred to as tolerance zone models and used for the
tolerance accumulation, have been proposed [1,2]. However,
most of these models only consider translational and rotational
defects of part features [3,4]. Furthermore, many of the avail-
able tolerance simulation tools are not conform with the stan-
dards for geometric dimensioning and tolerancing [5].
These limitations led to the development of a Skin Model
inspired framework for the tolerance analysis [6,7], which is
based on a representation of non-ideal workpieces employing
discrete geometry representation schemes, such as point clouds
and surface meshes. These workpiece representatives are re-
ferred to as Skin Model Shapes, since they can be interpreted
as outcomes of the Skin Model as a basic concept in the stan-
dards for geometric product specification and verification. In
© 2015 The Authors. Published by Elsevier B.V This is an open access article under the CC BY-NC-ND license
(http://creativecommons.org/licenses/by-nc-nd/4.0/).
Peer-review under responsibility of the organizing committee of 13th CIRP conference on Computer Aided Tolerancing