Analysis of kinematic motion deviations of machining centers based on geometric tolerances

Takahashi, Akihiro; Yoshida, Arata; Thasana, Wiroj; Sugimura, Nobuhiro; Iwamura, Koji; Tanimizu, Yoshitaka

doi:10.1299/jamdsm.2014jamdsm0060

Cited by 12 publications

(6 citation statements)

References 6 publications

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“…(1) Kinematic Motion Deviations of Rotational Joints 4 by 4 homogeneous transformation matrices are applied to represent the kinematic motions and their deviations in the previous and present research works (Satonaka et al 2005), (Satonaka et al 2007), (Satonaka et al 2008), (Sugimura et al, 2012), (Takahashi et al, 2014), (Takematsu, et al, 2016). The kinematic motions at the rotational joints shown in Fig.…”

Section: Kinematic Motion Deviations Of End Effectorsmentioning

confidence: 99%

“…However, most of the research works have not yet considered the statistical analysis of the three-dimentional tolerances. A set of research works have been carried out to represent and to analyze the three-dimentional kinematic motion deviations of the machine tools based on the statistical characteristics of the geometiric tolerances of the machine tools (Satonaka et al 2005), (Satonaka et al 2007), (Satonaka et al 2008), (Sugimura et al, 2012), (Takahashi et al, 2014), (Takematsu, et al, 2016). The methods proposed in the previous papers are applicable to the machine products other than the machine tools.…”

Section: A Study On Tolerances Design Of Parallel Link Robots Based Omentioning

confidence: 99%

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A study on tolerances design of parallel link robots based on mathematical models

Takematsu

Satonaka

Thasana

et al. 2018

JAMDSM

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Parallel link robots are now being applied to various assembling tasks for small products and components. One of the important issues for design of the parallel link robots is to improve their kinematic motion deviations due to the complex link structures. The kinematic motion deviations of the parallel link robots are deeply influenced by the geometric deviations of the components, such as joints and links. A systematic design method is required for specifying suitable geometric tolerances of the joints and the links, in order to improve the kinematic motion deviations of the parallel link robots. The objective of the present research is to establish a computer-aided design system for specifying a suitable set of the geometric tolerances of the components considering the trade-off between the requirements on the kinematic motion deviations and the ease of the manufacturing processes. A mathematical model is formulated to represent the standard deviations of the kinematic motions of the end effectors, based on the tolerance values of the joints and the links. A systematic method is proposed here, by applying an optimization method, to determine a suitable set of the tolerance values of all the joints and the links under the constraints on the kinematic motion deviations of the end effectors. The method is applied to some design problems of the geometric tolerances of the parallel link robots.

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Section: Kinematic Motion Deviations Of End Effectorsmentioning

confidence: 99%

Section: A Study On Tolerances Design Of Parallel Link Robots Based Omentioning

confidence: 99%

A study on tolerances design of parallel link robots based on mathematical models

Takematsu

Satonaka

Thasana

et al. 2018

JAMDSM

Self Cite

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“…For example, in terms of a plane feature with position tolerance requirements as shown in Fig. 2(a), its variation transform Di_P has three degrees of freedo m (DOFs) (Takahashi et al, 2014), including a translational DOF along the Zi-axis and two rotational DOFs along the Xi-axis and Yi-axis, respectively. After variat ion Di_P, the vertexes A, B, C, D of the plane vary to A', B', C', and D', and the nominal coordinate system Oi_P moves to the tracking coordinate system O'i_P.…”

Section: Establishment Of Tracking Coordinate Systemsmentioning

confidence: 99%

A new approach to tolerance analysis based on tracking local coordinate systems

Zhai

Wang

et al. 2017

JAMDSM

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Among current approaches to tolerance analysis in three-dimensional space, the Matrix method based on rigid body kinemat ics is widely used. However, this method ignores the impact a tolerance feature (TF) may get fro m the variat ions of TFs before it , therefore showing its demerits when applied to long and comp lex dimension chains. For this reason, this paper puts forward a new tolerance analysis model where t wo local coordinate systems are built at each TF: a nominal one based on the datum of cu rrent TF and a tracking one based on the variations of the prior TFs. Then the variations of all TFs along the dimension chain are accumulated. Co mpared with the Matrix method, the new approach generates results with more accuracy and higher efficiency.

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“…In recent years, many scholars did much research on the tolerance mathematical model. The mathematical model of the dimensional tolerance and geometric tolerance is systematically studied based on the SDT method (Takahashi et al , 2014). Vignat and Villeneuve (2003) applied the SDT theory to set up the position variation model of turning parts so as to determine the machining tolerance of parts.…”

Section: Introductionmentioning

confidence: 99%

3D tolerance modeling and geometric precision analysis of plane features for flexible parts

Sun

et al. 2018

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Purpose The traditional precision design only takes the influence of geometric tolerance of the parts and does not involve the load deformation in the assembly process. This paper aims to analyze the influence mechanism of flexible parts deformation on the geometric precision, and then to ensure the reliability and stability of the mechanical system. Design/methodology/approach Firstly, this paper adopts the N-GPS to analyze the influence mechanism of flexible parts deformation on the geometric precision and constructs a coupling 3D tolerance mathematical model of the geometric tolerance and the load deformation deviation based on the SDT theory, homogeneous coordinate transformation theory and surface authentication idea. Secondly, the least square method is used to fit the deformation surface of the mating surface under load so as to complete the conversion from the non-ideal element to the ideal element. Findings This paper takes the horizontal machining center as a case to obtain the deformation information of the mating surface under the self-weight load. The results show that the deformation deviation of the parts has the trend of transmission and accumulation under the load. The terminal deformation cumulative amount of the system is up to –0.0249 mm, which indicated that the influence of parts deformation on the mechanical system precision cannot be ignored. Originality/value This paper establishes a comprehensive 3D tolerance mathematical model, which comprehensively considers the effect of the dimensional tolerance, geometric tolerance and load deformation deviation. By this way, the assembly precision of mechanical system can be accurately predicted.

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Analysis of kinematic motion deviations of machining centers based on geometric tolerances

Cited by 12 publications

References 6 publications

A study on tolerances design of parallel link robots based on mathematical models

A study on tolerances design of parallel link robots based on mathematical models

A new approach to tolerance analysis based on tracking local coordinate systems

3D tolerance modeling and geometric precision analysis of plane features for flexible parts

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