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Fig 1.

The contact state in circular shaft-hole assembly.

a) Surface contact (b) Point contact (c) Multiple point contact.

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Fig 1 Expand

Fig 2.

Contact states in square shaft-hole assembly.

(a) Surface contact (b) Multiple surface contact (c) Line contact (d) Multiple line contact.

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Fig 2 Expand

Table 1.

DH parameters of BA006N robotic arm.

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Table 1 Expand

Fig 3.

Schematic diagram of multi-agent axis assembly.

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Fig 3 Expand

Table 2.

Pseudo-code of DMDDPG algorithm.

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Table 2 Expand

Fig 4.

Assembly task flow.

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Fig 4 Expand

Fig 5.

Shaft hole assembly virtual space.

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Fig 5 Expand

Fig 6.

The projection distance between the center points of the shaft hole contact surface.

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Fig 6 Expand

Fig 7.

The vertical distance between the center points of the shaft hole contact surface.

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Fig 7 Expand

Fig 8.

Shaft hole insertion.

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Fig 8 Expand

Fig 9.

Robotic arm axle hole assembly model.

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Fig 9 Expand

Table 3.

Network training hyperparameters.

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Table 3 Expand

Fig 10.

Assembling the subject.

(a) Square shaft-hole assembly; (b) Circular shaft-hole assembly.

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Fig 10 Expand

Fig 11.

Reward curve of DE-MADDPG algorithm in circular shaft-hole and square shaft-hole assembly.

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Fig 11 Expand

Fig 12.

Simplified DDPG process.

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Fig 12 Expand

Fig 13.

Simplified DMDDPG process flowchart.

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Fig 13 Expand

Fig 14.

Cumulative average total reward value of DMDDPG and DDPG.

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Fig 14 Expand

Fig 15.

Simplified MDDPG process.

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Fig 15 Expand

Fig 16.

Cumulative average total reward value of DMDDPG and MDDPG.

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Fig 16 Expand

Table 4.

Comparison of assembly results of three algorithms.

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Table 4 Expand

Fig 17.

Test rig for square shaft-hole assembly.

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Fig 17 Expand

Table 5.

Force/Torque sensor parameters.

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Table 5 Expand

Fig 18.

Force variations under different contact states.

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Fig 18 Expand

Fig 19.

Average reward curves of experimental and simulated training.

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Fig 19 Expand

Fig 20.

Assembly experiment object of square shaft hole.

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Fig 20 Expand

Table 6.

Comparative experiments on square shaft-hole assembly.

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Table 6 Expand