Mathematical Analysis of Vibratory Bowl Feeder for Clip Shaped Components

Jindal, Ujjwal; Jain, Shrey Kumar; Piyush,; Khanna, Pradeep

doi:10.24867/jpe-2017-01-122

Cited by 3 publications

(3 citation statements)

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“…al. [3] graphical and mathematical analysis of vibratory bowl feeder using clip shaped components revealed that the highest frequency with the highest part population was exhibiting the maximum feed rate for the smallest part size in the graphical analysis.…”

Section: Introductionmentioning

confidence: 93%

Mathematical Analysis of Performance of a Vibratory Bowl Feeder for Feeding Bottle Caps

Choudhary¹,

Narang²,

Khanna³

2018

J. Prod. Eng.

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Modern manufacturing processes demand high degree of automation in mass production units. In order to achieve the predetermined cycle times, synchronization of different processes in the automated production lines, is of utmost importance. Automating the feeding process also leads to reduction of waste and labour costs and increase in efficiency. Often, discrete part feeding, along with other variable parameters can give optimum Feed rates as results. A suitable feeding mechanism needs to be chosen for this purpose, we use a vibratory bowl feeder for its ease of use and its versatile nature. The present study is aimed at mathematically analysing the behaviour of a vibratory bowl feeder with different sizes of tube caps used in the pharmaceutical industry and other consumer goods industries. The response parameter chosen for this investigation was the feed rate and the various input parameters for the study were-part population, part size and frequency of bowl. Once the experimental readings were obtained, a mathematical model was developed using Design of experiments statistical package, expressing the relationship between input and response parameters in the equational form. Significance testing of the developed model was performed using Analysis of Variance (ANOVA). Response surface methodology was then used to optimise the obtained model which can be used to predict the behaviour of the feeder.

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Section: Introductionmentioning

confidence: 93%

Mathematical Analysis of Performance of a Vibratory Bowl Feeder for Feeding Bottle Caps

Choudhary¹,

Narang²,

Khanna³

2018

J. Prod. Eng.

Self Cite

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“…The input parameters and the feed rate can be related as per the following Feed rate= f(A,B,C), where A,B,C are the frequency, part size and part population respectively. The general regression equation relating the input and the output parameters is given as Feed Rate=β 0 + β 1 A + β 2 B + β 3 C + β 12 AB + β 13 AC + β 23 BC + β 11 A 2 + β 22 B 2 + β 33 C 2 where β 0 is model coefficient,…”

Section: Developing the Mathematical Modelmentioning

confidence: 99%

“…al. [2] carried out investigation work on this feeder for clip shaped components and concluded that feed rate increases with increase in frequency and part population. Pandey et.…”

Section: Introductionmentioning

confidence: 99%

Development of a Mathematical Model to Predict the Performance of a Vibratory Bowl Feeder for Headed Components

Tiwari¹,

Laksha²,

Khanna³

2018

J. Prod. Eng.

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Technology has helped to change the entire world. And in manufacturing industries, automation has become the competitive advantage. Automation helped to produce mass products at desired speed and rate with repeatability. It saves time and manual labour. Mechanised feeding has emerged as critical operation as to ensure discrete part feeding to mass producing assembly lines in a desired orientation and at a desired rate, eliminating the need of human operator for the job. The objective of our investigation is to study the feed behaviour of the headed components such as nails by a vibratory bowl feeder. Looking at the asymmetry of shape of these components slight modifications were made in the basic machine to facilitate their feeding. The response parameter in this case is feed rate and the important input parameters were part size, part population and frequency of vibrations. The experiments were conducted using the methodology of design of experiments. Central composite face cantered technique was used for developing the mathematical model. The adequacy of this model was tested by ANOVA analysis and significance of the regression coefficient was checked and the model was optimised by using RSM.

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