Point-by-Point-Contact-Based Approach to Compute Position and Orientation between Parts Assembled by Multiple Non-Ideal Planes
Position and orientation deviations (PODs), being affected by surface deviations, occur after parts are assembled, which directly affects the performance of mechanical products. Moreover, mechanical parts are generally assembled with multiple constraint planes, and the generated PODs are influenced...
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MDPI AG
2022-11-01
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Series: | Applied Sciences |
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Online Access: | https://www.mdpi.com/2076-3417/12/22/11596 |
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author | Jian Zhang Lihong Qiao Zhicheng Huang Nabil Anwer |
author_facet | Jian Zhang Lihong Qiao Zhicheng Huang Nabil Anwer |
author_sort | Jian Zhang |
collection | DOAJ |
description | Position and orientation deviations (PODs), being affected by surface deviations, occur after parts are assembled, which directly affects the performance of mechanical products. Moreover, mechanical parts are generally assembled with multiple constraint planes, and the generated PODs are influenced by the type of positioning. Therefore, the PODs of multiple planes should be computed in the design stage according to the predicted surface deviations, to control the product performance. However, even though the POD computation of multiple planes has been researched, the effects of surface deviations and multiple types of positioning cannot be considered simultaneously. To address this problem, this study proposes a point-by-point-contact-based approach. The six-point positioning principle is employed to determine the possible number of contact points on each mating plane. The surface deviations are modeled from the perspective of manufacturing errors. Furthermore, the contact points on each mating plane are determined successively using both the strategies of progressively approaching position and of the orientation and recursion of contact points. As a result, the PODs are acquired. The feasibility and usefulness of the proposed approach are verified through a case study. Herein, effects of surface deviations and multiple types of positioning on PODs are unified as contact point variations. Consequently, this approach is expected to assist with accurately controlling the POD influence on the performance of mechanical products in the design stage. |
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id | doaj.art-6494895a4bf342d1a25c7e40859bf327 |
institution | Directory Open Access Journal |
issn | 2076-3417 |
language | English |
last_indexed | 2024-03-09T18:29:19Z |
publishDate | 2022-11-01 |
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spelling | doaj.art-6494895a4bf342d1a25c7e40859bf3272023-11-24T07:37:50ZengMDPI AGApplied Sciences2076-34172022-11-0112221159610.3390/app122211596Point-by-Point-Contact-Based Approach to Compute Position and Orientation between Parts Assembled by Multiple Non-Ideal PlanesJian Zhang0Lihong Qiao1Zhicheng Huang2Nabil Anwer3Department of Industrial and Manufacturing Systems Engineering, Beihang University, Beijing 100191, ChinaDepartment of Industrial and Manufacturing Systems Engineering, Beihang University, Beijing 100191, ChinaDepartment of Industrial and Manufacturing Systems Engineering, Beihang University, Beijing 100191, ChinaUniversite Paris-Saclay, ENS Paris-Saclay, LURPA, 91190 Gif-sur-Yvette, FrancePosition and orientation deviations (PODs), being affected by surface deviations, occur after parts are assembled, which directly affects the performance of mechanical products. Moreover, mechanical parts are generally assembled with multiple constraint planes, and the generated PODs are influenced by the type of positioning. Therefore, the PODs of multiple planes should be computed in the design stage according to the predicted surface deviations, to control the product performance. However, even though the POD computation of multiple planes has been researched, the effects of surface deviations and multiple types of positioning cannot be considered simultaneously. To address this problem, this study proposes a point-by-point-contact-based approach. The six-point positioning principle is employed to determine the possible number of contact points on each mating plane. The surface deviations are modeled from the perspective of manufacturing errors. Furthermore, the contact points on each mating plane are determined successively using both the strategies of progressively approaching position and of the orientation and recursion of contact points. As a result, the PODs are acquired. The feasibility and usefulness of the proposed approach are verified through a case study. Herein, effects of surface deviations and multiple types of positioning on PODs are unified as contact point variations. Consequently, this approach is expected to assist with accurately controlling the POD influence on the performance of mechanical products in the design stage.https://www.mdpi.com/2076-3417/12/22/11596multiple planespositioningsurface deviationssearch algorithmposition and orientation |
spellingShingle | Jian Zhang Lihong Qiao Zhicheng Huang Nabil Anwer Point-by-Point-Contact-Based Approach to Compute Position and Orientation between Parts Assembled by Multiple Non-Ideal Planes Applied Sciences multiple planes positioning surface deviations search algorithm position and orientation |
title | Point-by-Point-Contact-Based Approach to Compute Position and Orientation between Parts Assembled by Multiple Non-Ideal Planes |
title_full | Point-by-Point-Contact-Based Approach to Compute Position and Orientation between Parts Assembled by Multiple Non-Ideal Planes |
title_fullStr | Point-by-Point-Contact-Based Approach to Compute Position and Orientation between Parts Assembled by Multiple Non-Ideal Planes |
title_full_unstemmed | Point-by-Point-Contact-Based Approach to Compute Position and Orientation between Parts Assembled by Multiple Non-Ideal Planes |
title_short | Point-by-Point-Contact-Based Approach to Compute Position and Orientation between Parts Assembled by Multiple Non-Ideal Planes |
title_sort | point by point contact based approach to compute position and orientation between parts assembled by multiple non ideal planes |
topic | multiple planes positioning surface deviations search algorithm position and orientation |
url | https://www.mdpi.com/2076-3417/12/22/11596 |
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