Journal ArticleDOI
Statistical representation and computation of tolerance and clearance for assemblability evaluation
Sukhan Lee,Chunsik Yi +1 more
TLDR
This paper presents a method of analyzing and evaluating the assemblability of a product under given tolerance specifications in order to provide a tool to aide for tolerance design.Abstract:
The design of tolerances should take the functionality, manufacturability, assemblability and cost effectiveness of a product into consideration. This paper presents a method of analyzing and evaluating the assemblability of a product under given tolerance specifications in order to provide a tool to aide for tolerance design. Introduced is the range of feasible displacement of a part of an assembly as a result of the accumulation of clearances between mating parts along the serial as well as parallel chain of assembly, which can play a role of compensating for the pose error of the corresponding part due to the accumulation of tolerances. Assemblability is determined by the probability that all the parallel as well as serial chains of the assembly can be f ormed successfully under given statistical properties of tolerances. This requires to numerically compute the probability that a pair of mating parts forming a parallel chain can align themselves within the error margin defined by their mating clearance, accounting for the possible compensation of the ranges of pose errors associated with the mating parts due to tolerance accumulations by the ranges of feasible displacements of the mating parts due to clearance accumulations. Simulation results are shown.read more
Citations
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Journal ArticleDOI
Statistical tolerance analysis using the unified Jacobian–Torsor model
TL;DR: In this article, a unified Jacobian-Torsor approach has been developed for deterministic (worst case) computer-aided tolerancing, which allows very fast computations to determine the percentage of rejected assemblies produced given some statistical distribution of the tolerances of their constituent parts.
Journal ArticleDOI
Reducing the undesirable effects of joints clearance on the behavior of the planar 3-RRR parallel manipulators
Seyyed Mojtaba Varedi-Koulaei,Hamidreza Mohammadi Daniali,M. Farajtabar,Bahram Fathi,Milad Shafiee-Ashtiani +4 more
TL;DR: In this paper, the effects of clearance on the dynamics of a planar 3-RRR parallel manipulator are investigated and an optimization algorithm for simultaneously kinematic and dynamic synthesis has been carried out to reduce these effects and improve the performance and the accuracy of the manipulator.
Journal ArticleDOI
Using Tolerance-Maps to Generate Frequency Distributions of Clearance and Allocate Tolerances for Pin-Hole Assemblies
TL;DR: A new mathematical model for representing the geometric variations of lines is extended to include probabilistic representations of one-dimensional (1D) clearance, which arise from positional variations of the axis of a hole, the size of the hole, and a pin-hole assembly.
Journal ArticleDOI
Virtual assembly planning and assembly-oriented quantitative evaluation of product assemblability
TL;DR: In this paper, a motion navigation method based on force guidance is presented, which achieves a realistic simulation of the assembly process and provides a correct and appropriate quantitative evaluation of the product assemblability.
Journal ArticleDOI
Tolerance Analysis and Allocation for Design of a Self-Aligning Coupling Assembly Using Tolerance-Maps
TL;DR: In this paper, a self-aligning coupling is used as a vehicle to show that the Tolerance-Map (T-Map) mathematical model for geometric tolerances can distinguish between related and unrelated actual mating envelopes as described in the ASME/ISO standards.
References
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Book
Introduction to Algorithms
TL;DR: The updated new edition of the classic Introduction to Algorithms is intended primarily for use in undergraduate or graduate courses in algorithms or data structures and presents a rich variety of algorithms and covers them in considerable depth while making their design and analysis accessible to all levels of readers.
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A Primer for the Monte Carlo Method
TL;DR: This paper presents examples of the application of the Monte Carlo Method in simulation of a Mass-Servicing System, and its applications in Pseudorandom Numbers and Random Variables.
Book
Computer-Aided Tolerancing
TL;DR: In this article, simple tolerance chains and chain links, process parameters, manufacturing principles, tolerance cost models and tolerance control, tolerance distribution, and computer aids are covered, as well as computer aids.
Journal ArticleDOI
Analysis of dimensions and tolerances in computer-aided mechanical design
R.C. Hillyard,I.C. Braid +1 more
TL;DR: In this paper, a theory to explain how dimensions and views combine to specify the shape of a mechanical component is presented, and a method to determine whether a component is under, over, or exactly defined by a given dimensioning scheme is proposed.