Tolerance Analysis of Planar Mechanisms Based on a Residual Approach: A Complementary Method to DLM

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68081723%3A_____%2F19%3A00509602" target="_blank" >RIV/68081723:_____/19:00509602 - isvavai.cz</a>

Alternative codes found

RIV/00216305:26620/19:PU135477

Result on the web

<a href="https://www.hindawi.com/journals/mpe/2019/9067624/" target="_blank" >https://www.hindawi.com/journals/mpe/2019/9067624/</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1155/2019/9067624" target="_blank" >10.1155/2019/9067624</a>

Result language

angličtina

Original language name

Tolerance Analysis of Planar Mechanisms Based on a Residual Approach: A Complementary Method to DLM

Original language description

The kinematic performance of mechanisms is affected by different uncertainty sources involved in the manufacturing and assembling cycle, among these are the geometric variations. It is known that the effects of these variations produce position errors which are not usually included in the design process. With this objective, a complementary method for the tolerance analysis of planar mechanisms that incorporate geometric variations is presented in this paper. The approach is based on Direct Linearization Method (DLM) that does not consider all the kinematically admissible solutions. DLM naturally minimizes a residual functional H, however it is possible to maximize the residual by means of a proposed complementary method called H-Based Residual Method (RMH). From the proposed methodology, local and global error domains can be defined to predict the maximum and minimum position errors caused by the input variations. DLM and RMH were applied in a four-bar mechanism with dimensional and angular variations to estimate positioning errors. The results show intervals where output positions were invariant with respect to angular variations of the crank. These computations were performed through a distance ratio established with the output deviations determined with nominal angular variations. Furthermore, domain errors were predicted for a set of positions generated by a multivariate normal random algorithm with 1000 combinations of input variations (links lengths). These domains delimited all solutions created in each position stage. It means that by applying the proposed methodology it is possible to estimate the geometric errors of any combination of variations.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

20302 - Applied mechanics

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2019

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Mathematical Problems in Engineering

ISSN

1024-123X

e-ISSN

—

Volume of the periodical

2019

Issue of the periodical within the volume

1

Country of publishing house

GB - UNITED KINGDOM

Number of pages

13

Pages from-to

9067624

UT code for WoS article

000468521800001

EID of the result in the Scopus database

2-s2.0-85066045739