The use of the Taguchi method and principal component analysis for the sensitivity analysis of a dual-purpose six-bar mechanism

Abstract

In this paper, the Taguchi method and the principal component analysis were applied to a dual-purpose six-bar mechanism for investigating the influence of manufacturing tolerance and joint clearance on the quality of the mechanism. Experiments were carried out based on the orthogonal array from the Taguchi method, which calculated the S/N ratios of the positional and angular errors of a dual-purpose six-bar mechanism. Using the principal component analysis, the S/N ratios were transformed into a multiple performance index to further understand the effect of the control factors on the quality of the six-bar mechanism. Using the analysis of response table and response diagram, the key dimensions of the mechanism could be identified and their tolerance optimized, i.e. decreasing the tolerance of important dimensions and increasing the rest, with the objective of simultaneously improving the quality of the mechanism and reducing the cost.

Keywords

Taguchi method pincipal component analysis sensitivity analysis dual-purpose six-bar mechanism quality design

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References

Rao

Mohan A. V.

Erdman

A. G.

Sander

G. N.

Raghunathan

Nigbor

D. E.

Brown

L. E.

Mahardy

E. F.

Enderie

E. D.

, ‘Synthesis of multi-loop, dual-purpose planar mechanisms utilizing burmester theory’ In Proceedings of the 2nd Applied Mechanisms Conference, Oklahoma State University, Stillwater, Oklahoma, 1971, pp. 7-1–7-23.

Garnett

R. E.

Hall

A. S.

, ‘Effect of tolerance and clearance in linkage design’ ASME J. Eng. Ind. 91 1 (1969): 198–202.

Dhande

S. G.

Chakraborty

, ‘Analysis and synthesis of mechanical error in linkages — a stochastic approach’ ASME J. Eng. Ind. 95 (1973): 672–676.

Chakraborty

, ‘Synthesis of mechanical error in linkages’ Mech. Mach. Theory 10 2–3 (1975): 155–165.

Sutherland

G. H.

Roth

, ‘Mechanism design: Accounting manufacturing tolerances and costs in function generating problems’ ASME J. Eng. Ind. 97 1 (1975): 283–286.

Dhande

S. G.

Chakraborty

, ‘Mechanical error analysis of spatial linkages’ ASME J. Mech. Des. 100 4 (1978): 732–738.

Mallik

A. K.

Dhande

S. G.

, ‘Analysis and synthesis of mechanical error in path-generating linkages using a stochastic approach’ Mech. Mach. Theory 22 2 (1987): 115–123.

Lee

S. J.

Gilmore

B. J.

, ‘The determination of the probabilistic properties of velocities and accelerations in kinematic chains with uncertainty’ ASME J. Mech. Des. 113 1 (1991): 84–90.

Faik

Erdman

A. G.

, ‘Sensitivity distribution in the synthesis solution space of four-bar linkages’ ASME J. Mech. Des. 113 1 (1991): 3–9.

10.

Lee

Erdman

A. G.

Faik

, ‘A generalized performance sensitivity synthesis methodology for four-bar mechanisms’ ASME Mech. Des. Synth. 46 (1992): 1–4.

11.

Ting

K. L.

Long

, ‘Performance quality and tolerance sensitivity of mechanisms’ ASME J. Mech. Des. 118 1 (1996): 144–150.

12.

Zhu

Ting

K. L.

, ‘Performance distribution analysis and robust design’ ASME J. Mech. Des. 123 1 (2001): 11–17.

13.

Caro

Bennis

Wenger

, ‘Tolerance synthesis of mechanisms: A robust design approach’ ASME J. Mech. Des. 127 1 (2005): 86–94.

14.

Taguchi

, Introduction to quality engineering (Tokyo: Asian Productivity Organization 1990).

15.

, Taguchi methods for robust design (New York: ASME press 2000).

16.

Ross

P. J.

, Taguchi techniques for quality engineering (USA: McGraw-Hill 1996).

17.

Kota

Chiou

S. J.

, ‘Use of orthogonal arrays in mechanism synthesis’ Mech. Mach. Theory 28 6 (1993): 777–794.

18.

Vijaya

Krishna

Prabhakar

Shankar

N. G.

, ‘Simultaneous optimisation of flame spraying process parameters for high quality molybdenum coatings using Taguchi methods’ Surf. Coat. Technol. 79 (1996): 276–288.

19.

Yang

L. J.

, ‘Plasma surface hardening of ASSAB 760 steel specimens with Taguchi optimisation of the processing parameters’ J. Mater. Process. Technol. 113 (2001): 521–526.

20.

Elsayed

E. A.

Chen

, ‘Optimal levels of process parameters for products with multiple characteristics’ Int. J. Prod. Res. 31 (1993): 1117–1132.

21.

Chen

F. C.

Huang

H. H.

, ‘Taguchi-fuzzy-based approach for the sensitivity analysis of a four-bar function generator’ Proc. IMechE, Part C: J. Mechanical Engineering Science 220 C9 (2006): 1413–1421 DOI: 10.1243/0954406JMES241.

22.

Johnson

R. A.

Wichern

D. W.

, Applied multivariate statistical analysis (Upper Saddle River, NJ, USA: Prentice Hall 2002).

23.

Tzeng

Y. F.

Chen

F. C.

, ‘Multi-objective process optimization for turning of tool steel’ Int. J. Mach. Machinability Mater. 1 1 (2006): 76–93.

24.

Hartenberg

R. S.

Denavit

, Kinematic synthesis of linkages (New York: MacGraw-Hill 1964).

25.

Mallik

A. K.

Ghosh

Dittrich

, Kinematic analysis and synthesis of mechanisms (Boca Raton, FL, USA: CRC press, Inc. 1994).