A mathematical approach to analysis and optimal design of a fixture locating scheme

Qin, Guohua; Zhang, W.H.; Wan, Min

doi:10.1007/s00170-005-2509-0

Cited by 68 publications

(35 citation statements)

References 11 publications

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“…Qin dan Zhang [7] melakukan analisis kestabilan benda-kerja dengan mentransformasikan sistem persamaan keseimbangan gaya dan momen menjadi persoalan programa linear. Qin et al [8] melakukan analisis dan optimasi skema penempatan penetap yang menghasilkan prinsip dan kriteria desain optimal. Qin et al [9] melakukan analisis dan optimasi urutan pencekaman yang akan meminimumkan deformasi dan kesalahan posisi bendakerja dengan fungsi pembatas geometri dan deviasi.…”

Section: Pendahuluanunclassified

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Model Optimasi Fixturing Benda-kerja dengan Prinsip 3-2-1 Klem Tunggal

Toha

Diratama

Wigenaputra

2017

jti

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Abstract:To hold a workpiece firmly at its place, a fixture is required. Some previous studies have discussed the balance of forces and moments that are based on kinematic model, screw theory, contact force and position error. The most fundamental problem in the design of the fixture is to determine the coordinates of a locator and clamp and a clamping force, so that the workpiece is stable during the machining process. This paper discusses an optimization model to determine the coordinates of the locator and clamp and the clamping force, focusing to the balance of forces and moments. Specifically, the optimization model developed is used for solving the problem of fixturing the workpiece applying the 3-2-1 principle. Numerical examples are given to illustrate the application of the model. The optimization model is solved using standard nonlinear programming software.Keywords: Fixture, force, moment, locator, clamp, optimization. PendahuluanPenetap (fixture) merupakan alat bantu yang digunakan pada pemesinan, perakitan, inspeksi, dan berbagai operasi manufaktur lainnya. Dalam proses pemesinan, benda-kerja akan mengalami gaya dan momen pemotongan, sehingga diperlukan penetap untuk memegang benda-kerja agar diam pada tempatnya. Hal ini diperlukan agar bendakerja hasil pemesinan sesuai dengan spesifikasi desainnya. Penetap terdiri dari lokator dan klem. Lokator berperan untuk menjaga benda-kerja berada pada tempatnya, sedangkan klem berperan untuk menghilangkan pergerakan yang terjadi, dengan memberikan gaya yang akan melawan pergerakan benda-kerja.Suatu benda-kerja pada ruang tiga dimensi, dapat bergerak pada dua-belas arah (memiliki dua-belas derajat kebebasan). Penetapan (fixturing) dengan prinsip 3-2-1 menempatkan tiga lokator bawah, dua lokator samping, dan satu lokator pada samping lainnya, sehingga benda-kerja hanya memiliki tiga derajat kebebasan. Untuk memegang benda kerja pada tempatnya (nol derajat kebabasan), digunakan satu klem atas, satu klem samping, dan satu klem samping lainnya, yang masing-masing berlawanan dengan arah lokator.Untuk memegang benda-kerja pada tempatnya, diperlukan analisis keseimbangan gaya dan momen yang terjadi. Beberapa penelitian sebelumnya yang membahas ini diantaranya adalah Asada dan By [1] yang mengembangkan model kinematik penetap.

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Section: Pendahuluanunclassified

“…ekivalen dengan meminimumkan gaya klem Substitusi persamaan (7), (8), dan (9) pada fungsi tujuan, diperoleh:…”

Section: Proposisiunclassified

Model Optimasi Fixturing Benda-kerja dengan Prinsip 3-2-1 Klem Tunggal

Toha

Diratama

Wigenaputra

2017

jti

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“…Complex optimization of technological processes presented in specialized works [1][2][3][4] requires well-reasoned decisions in the field of technological equipment, implicitly in the field of device construction which justifies a systemic approach to manufacturing problems for highlighting the multitude of factors in their interdependencies.…”

Section: Introductionmentioning

confidence: 99%

“…The need to optimize the activities of the stages of design, production and exploitation [1][2][3][4][5] requires an objective analysis of the technological processes in which the orientation and fixing device of the workpiece is a component of the system that also includes technical, technological components and human factor.…”

Section: Introductionmentioning

confidence: 99%

Method for optimization of the orientation and fixing system of workpiece for the construction of control devices

et al. 2017

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Abstract. The development and evolution of technological equipment for machining, assembly and control ensure the modernization of manufacturing processes. Devices as subsystems of technological system in the general context of the development and diversification of machinery, tools, workpiece and drives are made in a variety of sizes and constructive variants that create difficulties in their structure and improvement. Part of the research in recent years presented in this paper have as major objectives the increase of accuracy, productivity and flexibility of orientation and fixing devices for control operations. To this end there have been developed a mathematical model, a new method of working and an algorithm for optimizing the construction of the orientation and fixing system of a new type of control device.

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“…Marin and Ferreira (2003) discussed the effect of deterministic locator errors on profile tolerance of machined parts. Qin et al (2006) discussed an optimization methodology to minimize the workpiece positional variation. However machining error is not discussed.…”

Section: Introductionmentioning

confidence: 99%

Optimization of machining fixture layout for tolerance requirements under the influence of locating errors

Vishnupriyan¹,

Majumder²,

Ramachandran³

2010

Int. J. Eng. Sci. Tech

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Dimensional accuracy of workpart under machining is strongly influenced by the layout of the fixturing elements like locators and clamps. Setup or geometrical errors in locators result in overall machining error of the feature under consideration. Therefore it is necessary to ensure that the layout is optimized for the desired machining tolerance for a given deviation in the set up or geometry of the locator. Also, the locator layout should be capable of holding the workpart in a unique position during machining thus providing deterministic location. This paper proposes a Genetic Algorithm (GA) based optimization method to arrive at a layout of error containing locators for minimum machining error satisfying the tolerance requirements and providing deterministic location. A three dimensional workpiece under the 3-2-1 locating scheme is studied. Results indicate that by optimally placing the error containing locators the geometric error component of the machining error can be substantially reduced thus enabling compliance to overall dimensional requirements.

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A mathematical approach to analysis and optimal design of a fixture locating scheme

Cited by 68 publications

References 11 publications

Model Optimasi Fixturing Benda-kerja dengan Prinsip 3-2-1 Klem Tunggal

Model Optimasi Fixturing Benda-kerja dengan Prinsip 3-2-1 Klem Tunggal

Method for optimization of the orientation and fixing system of workpiece for the construction of control devices

Optimization of machining fixture layout for tolerance requirements under the influence of locating errors

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