Assembly precision prediction for planar closed-loop mechanism in view of joint clearance and redundant constraint

Zhao, Qiangqiang; Guo, Junkang; Hong, Jun

doi:10.1007/s12206-018-0643-5

Cited by 14 publications

(9 citation statements)

References 18 publications

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“…The method is based on a geometrical model that allows estimating manufacturing parameters for mass production of the overconstrained mechanisms. The evaluation of the assembly precision in planar mechanisms is presented by Zhao et al [21]. The error prediction is conducted by a three-step assembly algorithm and each step has associated a particular error model, with which was assessed the assembly precision.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

“…The sensitivity analysis was used as a tolerance design tool by means of nonlinear constrained optimization. Common to Rameau et al [20], Zhao et al [21], Fan et al [22], and Ni et al [23] is the use of tolerance analysis as a keystone in the design process of mechanisms and machines with required performance (to guarantee mobility and assembly and to minimize positioning errors in machine tools and parallel robots).…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

“…To observe the error accuracy, Figure 8(b) is computed taking the distances and that are related by (21). These parameters are described in Section 3.…”

Section: Accuracy Errors In the Position By Input Angularmentioning

confidence: 99%

See 2 more Smart Citations

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

Tinoco

Durango

2019

Mathematical Problems in Engineering

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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 ; 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.

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Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

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

Tinoco

Durango

2019

Mathematical Problems in Engineering

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“…Li [13] derived the variation propagation model of the multiple-loop structure and obtained the extreme angular errors of the antenna panels. Recently, Zhao [14] provided a novel approach which combined the rotatability laws of kinematic chains [15] with the assembly deviation model of two-link unit. Although the coupling constraints were addressed in [12][13][14], these approaches rely on the planar assumption so that the analysis was not enough to describe the spatial characteristics and assembly deviations of the ESS.…”

Section: Introductionmentioning

confidence: 99%

“…Recently, Zhao [14] provided a novel approach which combined the rotatability laws of kinematic chains [15] with the assembly deviation model of two-link unit. Although the coupling constraints were addressed in [12][13][14], these approaches rely on the planar assumption so that the analysis was not enough to describe the spatial characteristics and assembly deviations of the ESS. In addition, the assembly accuracy analysis approaches proposed for other type extendible structures [16][17][18][19], such as energy method [20], force density method [21], and dynamic relaxation method [22], are difficult to be transferred into the ESS.…”

Section: Introductionmentioning

confidence: 99%

Link Adjustment for Assembly Deviation Control of Extendible Support Structures via Sparse Optimization

Guo

et al. 2021

IEEE Access

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The assembly accuracy of the extendible support structure is of importance for the imaging capability of synthetic aperture radar antennas. In general, due to manufacturing imperfections and installation variations, its assembly accuracy will be inevitably degraded. Therefore, controlling the assembly deviation is highly concerned in practice. To meet the accuracy requirement and make "the control" more efficient, this study proposes a novel method to quantitatively conduct dimensional adjustment of links for extendible support structures of synthetic aperture radar antennas. Since the extendible support structure is generally over-constrained in the deployed configuration, the relationship between the assembly deviation and the variation sources is first derived by means of equivalent transformation. Based on the mathematical expression of assembly deviation, an inequality constrained sparse optimization model for quantitatively resizing links is formulated. Then, an efficient algorithm integrating the alternating direction method of multipliers and binary search is developed to solve the above optimization model, thereby acquiring the optimal combination of link adjustment. Finally, numerical case studies are carried out to demonstrate the effectiveness of the proposed method in Matlab, which show that it can not only achieve satisfactory performance in prediction but also significantly improve the assembly efficiency.

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Early prediction method for assembly precision of mechanical system and assessment of precision reliability

Yang

Ran

Wang

et al. 2020

Int J Adv Manuf Technol

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Assembly precision prediction for planar closed-loop mechanism in view of joint clearance and redundant constraint

Cited by 14 publications

References 18 publications

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

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

Link Adjustment for Assembly Deviation Control of Extendible Support Structures via Sparse Optimization

Early prediction method for assembly precision of mechanical system and assessment of precision reliability

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