Investigation of mechanical error in four-bar mechanism under the effects of link tolerance

Jawale, H. P.; Jaiswal, Ankur

doi:10.1007/s40430-018-1299-x

Cited by 11 publications

(10 citation statements)

References 53 publications

(56 reference statements)

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“…Applying the dimensional analysis methods allowed researchers to solve various tasks associated with dimensional links between elements and parameters of technical systems [9][10][11], as well as with output and input parameters of technological processes [12][13][14][15][16], and it can be said in any branch of technology and technology.…”

Section: Introductionmentioning

confidence: 99%

Analysis and mathematical model of the circumferential accuracy of the groove cut on the surface of rotation

Надиров

Rasulov

2019

J Braz. Soc. Mech. Sci. Eng.

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An analysis is made of the technology of vortex cutting method of groove for sealing rings provided on the lateral surfaces of rotation of a part of the sealing system and the dimensional chains thus formed, as well as accuracy issues by applying probability theories and dimensional chains. Features of the developed technology are presented; the factors influencing the accuracy of the circular diameter of the groove are analyzed, and mathematical dependencies are given for their determination; the mathematical model of the accuracy of the diameter of the groove is derived. The technological dimension chain, which is formed in the vortex cutting method of groove, is given its properties, and the new linear-circular dimensional chain, which is not found in the literature, and its mechanism of formation are presented. The features of the linear-circular dimensional chain and the management of the functional relation between the linear and circular feeds are used to determine the technological capabilities of the vortex method on the lateral surface of the groove. Also, families of possible singleand double-symmetrical forms of the grooves are identified. It is recommended to use the results obtained, when analyzing the technology of cutting of grooving and other similar surfaces with a vortex method, when solving accuracy problems, including the derivation of a mathematical model of accuracy.

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Section: Introductionmentioning

confidence: 99%

Analysis and mathematical model of the circumferential accuracy of the groove cut on the surface of rotation

Надиров

Rasulov

2019

J Braz. Soc. Mech. Sci. Eng.

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“…Their works validate that in the diversity of the planar mechanisms, most of the designs include FBM by its simplicity and functionality which shows that studying FBM is a current topic. Further, several error definitions were presented by Jawale et al [9] (maximum error, RMS error, and total error) and the results were verified by means of a geometrical approach. The PDA allows isolating the effect of each link tolerance on each error category showing a significative difference between the total error (which is correlated to the geometric parameters) and the overestimated maximum error.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 85%

“…Lara-Molina et al [8] present a study on planar 5R symmetrical mechanisms in which Monte Carlo simulation was used to determine the effects of small deviations of link lengths and joint clearances in several design atlases (Maximum Inscribed Workspace, Global Conditioning Index, and Minimum Conditioning Index). Jawale et al [9] revise the use of a Partial Derivative Formulation (PDA) to estimate the output (angular) error in four-bar mechanisms (FBM) subjected to link tolerances. Their works validate that in the diversity of the planar mechanisms, most of the designs include FBM by its simplicity and functionality which shows that studying FBM is a current topic.…”

Section: Mathematical Problems In Engineeringmentioning

confidence: 99%

“…This work presents a methodology to predict position errors in planar mechanisms with geometric variations (tolerance analysis). Jawale et al [9] and Wang et al [16] recognized the importance of improving DLM (when comparing it with respect to Monte Carlo simulations) and find practical limits (possible subestimation of maximum normal-to-path errors). Therefore, a complementary method to DLM is developed and applied in this study.…”

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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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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“…They assumed the tolerance error as a simple deviation in the reference dimension. Jawale and Jaiswal [5] investigated a mechanical error of a four-bar mechanism induced by the tolerance error. Recently, Zhan et al [6] introduced a method of tolerance modeling for a planar parallel manipulator.…”

Section: Introductionmentioning

confidence: 99%

Experimental tolerance design of a six-bar toggle-linkage mechanism using near-singularity characteristics

Chu

Jeon

Kim

et al. 2019

J Braz. Soc. Mech. Sci. Eng.

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Tolerance analysis is very important for the mass production of mechanism parts to guarantee satisfactory performance at a low production cost. The tolerance analysis of linkage mechanisms is important because linkage mechanisms are very sensitive to tolerance owing to many shaft-hole connections. Typically, tolerance is determined by intuition and experiences, but it can lead to low performance or high production cost. In particular, the tolerance of a linkage has a significant effect on near-singularity operation as even a very small dimension difference can change the performance dramatically. In this paper, we present an experimental tolerance design of a six-bar toggle-linkage mechanism for clamping application. The tolerance design is very important to the six-bar toggle-linkage mechanism as the clamping operation is performed with a near-singularity configuration. Based on a design of experiment, the tolerances are determined by optimal criteria with performance and cost deviations. We determine the positions with high tolerance and low tolerance empirically. The final tolerances can be used for mass production of the toggle clamping device.

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Investigation of mechanical error in four-bar mechanism under the effects of link tolerance

Cited by 11 publications

References 53 publications

Analysis and mathematical model of the circumferential accuracy of the groove cut on the surface of rotation

Analysis and mathematical model of the circumferential accuracy of the groove cut on the surface of rotation

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

Experimental tolerance design of a six-bar toggle-linkage mechanism using near-singularity characteristics

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