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Fig 1.

Bolted joint load model.

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Fig 1 Expand

Fig 2.

Force and stress distributions in a bolted joint.

(a) Free-body diagram showing external load FH, moment M and bolt forces; (b–e) distributions of normal stress components σV, σF, σM, and resultant stresses σmax, σmin.

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Fig 2 Expand

Fig 3.

Schematic diagram of the system.

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Fig 3 Expand

Fig 4.

Experimental Setup.

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Fig 4 Expand

Fig 5.

Installation of donut loadcell for bolt preload measurement.

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Fig 5 Expand

Table 1.

Design schema of input factors and their levels.

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Table 2.

Experimental results for initial preload V0 with two M16 Bolts.

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Table 2 Expand

Table 3.

The results the Average external load factor.

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Table 3 Expand

Table 4.

Significance test of regression equation coefficients.

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Table 4 Expand

Table 5.

Analysis of variance for significance of regression.

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Table 5 Expand

Fig 6.

Diagnostic plots for evaluating the residual behavior of the regression model.

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Fig 6 Expand

Fig 7.

Main Effects Plot.

(a) Combined friction coefficient; (b) Surface roughness; (c) Material hardness.

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Fig 8.

The effects of input factors on the external load factor.

(a) Effect of μ and Ra on the χ; (b) Effect of HB and Ra on the χ; (c) Effect of HB and μ on the χ.

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Fig 8 Expand

Fig 9.

The operating region of the input factors.

(a) The operating region of μ and Ra; (b) The operating region of μ and HB; (c) The operating region of Ra and HB.

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Fig 9 Expand

Fig 10.

Convergence behavior of the response surface optimization process.

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Fig 10 Expand