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Tolerancing of assembly mechanisms is a major interest in the product life cycle. One can distinguish several models with growing complexity, from 1-dimensional (1D) to 3-dimensional (3D) (including form deviations), and two main…

其他计算机科学 · 计算机科学 2010-02-02 Pierre-Antoine Adragna , Serge Samper , Maurice Pillet

Within an industrial manufacturing process, tolerancing is a key player. The dimensions uncertainties management starts during the design phase, with an assessment on variability of parts not yet produced. For one assembly step, we can gain…

应用统计 · 统计学 2019-12-20 Ambre Diet , Nicolas Couellan , Xavier Gendre , Julien Martin

Capability indices are dimensionless quantities measuring the aptitude of a process to manufacture items whose characteristics must be within a specified tolerance ranges. The usual indices $C_p$, $C_{pk}$, $C_{pm}$, and $C_{pmk}$ are used…

统计理论 · 数学 2007-06-13 Daniel Grau

The tolerancing step has a great importance in the design process. It characterises the relationship between the different sectors of the product life cycle: Design, Manufacturing and Control. We can distinguish several methods to assist…

其他计算机科学 · 计算机科学 2011-02-16 Abdessalem Hassani , Nizar Aifaoui , Abdelmajid Benamara , Serge Samper

The tolerancing process links the virtual and the real worlds. From the former, tolerances define a variational geometrical language (geometric parameters). From the latter, there are values limiting those parameters. The beginning of a…

其他计算机科学 · 计算机科学 2010-02-02 Serge Samper , Pierre-Antoine Adragna , Hugues Favreliere , Maurice Pillet

The aim of this paper is to show through a simple assembly a method of tolerancing analysis (coherent with GPS) developed at LM\'ecA and based on the model of clearance and deviation domains. Tolerancing is an important step in the product…

综合物理 · 物理学 2010-10-14 Jean-Philippe Petit , Serge Samper

Iterative numerical algorithms are typically equipped with a stopping criterion, where the iteration process is terminated when some error or misfit measure is deemed to be below a given tolerance. This is a useful setting for comparing…

数值分析 · 计算机科学 2014-12-04 Uri Ascher , Farbod Roosta-Khorasani

Making a product conform to the functional requirements indicated by the customer suppose to be able to manage the manufacturing process chosen to realise the parts. A simulation step is generally performed to verify that the expected…

计算工程、金融与科学 · 计算机科学 2007-11-15 Frédéric Vignat , François Villeneuve

In this work, we present a novel inner product design for stochastic computing. Stochastic computing is an emerging computing technique, that encodes a number in the probability of observing a one in a random bit stream. This leads to…

新兴技术 · 计算机科学 2018-11-21 Werner Haselmayr , Daniel Wiesinger , Michael Lunglmayr

A commonly used model for fault-tolerant computation is that of cellular automata. The essential difficulty of fault-tolerant computation is present in the special case of simply remembering a bit in the presence of faults, and that is the…

概率论 · 数学 2012-07-25 Mark McCann , Nicholas Pippenger

A prediction interval covers a future observation from a random process in repeated sampling, and is typically constructed by identifying a pivotal quantity that is also an ancillary statistic. Analogously, a tolerance interval covers a…

统计方法学 · 统计学 2022-01-19 Geoffrey S Johnson

Process capability indices such as $C_{pk}$ are widely used in manufacturing quality control to support supplier qualification and product release decisions based on fixed acceptance thresholds (e.g., $C_{pk} \geq 1.33$). In practice, these…

应用统计 · 统计学 2026-03-13 Fei Jiang , Lei Yang

Control systems should enforce a desired property for both expected modeled situations as well as unexpected unmodeled environmental situations. Existing methods focus on designing controllers to enforce the desired property only when the…

系统与控制 · 电气工程与系统科学 2021-10-19 Rômulo Meira-Góes , Eunsuk Kang , Stéphane Lafortune , Stavros Tripakis

We show that the Tile Assembly Model exhibits a strong notion of universality where the goal is to give a single tile assembly system that simulates the behavior of any other tile assembly system. We give a tile assembly system that is…

计算复杂性 · 计算机科学 2016-09-08 David Doty , Jack H. Lutz , Matthew J. Patitz , Scott M. Summers , Damien Woods

Tolerance estimation problems are prevailing in engineering applications. For example, in modern robotics, it remains challenging to efficiently estimate joint tolerance, \ie the maximal allowable deviation from a reference robot state such…

机器人学 · 计算机科学 2021-04-20 Weiye Zhao , Suqin He , Changliu Liu

In three dimensional integrated circuits (3D-ICs), through silicon via (TSV) is a critical technique in providing vertical connections. However, the yield and reliability is one of the key obstacles to adopt the TSV based 3D-ICs technology…

硬件体系结构 · 计算机科学 2018-03-08 Song Chen , Qi Xu , Bei Yu

A $2$-uniform tolerance on a lattice is a compatible tolerance relation such that all of its blocks are 2-element. We characterize permuting pairs of 2-uniform tolerances on lattices of finite length. In particular, any two 2-uniform…

环与代数 · 数学 2019-09-25 Gábor Czédli

Laboratory investigations have shown that a formal theory of fault-tolerance will be essential to harness nanoscale self-assembly as a medium of computation. Several researchers have voiced an intuition that self-assembly phenomena are…

分布式、并行与集群计算 · 计算机科学 2010-07-20 Aaron Sterling

This paper deals with iteration stable (STIT) tessellations, and, more generally, with a certain class of tessellations that are infinitely divisible with respect to iteration. They form a new, rich and flexible class of spatio-temporal…

概率论 · 数学 2013-03-04 Tomasz Schreiber , Christoph Thaele

We consider equilibrium statistics for high Reynolds number isotropic turbulence in an incompressible flow driven by steady forcing at the largest scale. Motivated by shell model observations, we develop a similarity theory for the inertial…

流体动力学 · 物理学 2007-05-23 Mogens V. Melander , Bruce R. Fabijonas
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