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Fig 1.

Joint surface of an actual woodworking machine structure.

(a) Forced form of joint surface, (b) Joint surface structure finite element nodes and units schematic.

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Fig 1 Expand

Fig 2.

Space unit composed of joint node.

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Fig 2 Expand

Fig 3.

Bed finite element analysis process.

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Fig 3 Expand

Fig 4.

Bed simplified 3D solid model.

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Fig 4 Expand

Table 1.

Material properties of each part of bed.

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Table 1 Expand

Table 2.

Joint stiffness and damping characteristics.

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Table 2 Expand

Fig 5.

Bed structure finite element model and joint space unit.

(a) Bed finite element model, (b) Joint space unit.

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Fig 5 Expand

Table 3.

Comparison of test frequency and simulation analysis frequency.

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Table 3 Expand

Fig 6.

Modal test site and test point layout.

(a) Modal test site, (b) Measuring point layout block diagram.

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Fig 6 Expand

Fig 7.

Relative error between simulation result and test result.

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Fig 7 Expand

Fig 8.

Comparison of modal modes between finite element modes and experimental modes.

(a) 1st analysis mode, (b) 1st test mode, (c) 2nd analysis mode, (d) 1nd test mode, (e) 3rd analysis mode, (f) 3rd test mode, (g) 4th analysis mode, (h) 4th test mode, (i) 5th analysis mode, (j)5th test mode, (k) 6th analysis mode, (l)6th test mode.

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Fig 8 Expand

Fig 9.

Optimized bed 3D solid model model.

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Fig 9 Expand

Table 4.

Optimized parameters and their value ranges.

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Table 4 Expand

Fig 10.

Flow chart of bed structure optimization.

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Fig 10 Expand

Fig 11.

Sensitivity analysis chart of L1, L2, L3 and D to each performance.

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Fig 11 Expand

Table 5.

Structural optimization for relatively optimal solutions.

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Table 5 Expand

Table 6.

Roundness results of optimization variables.

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Table 6 Expand

Table 7.

Comparison of natural frequency before and after bed optimization.

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Table 7 Expand