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Fig 1.

Schematic diagram of the balanced system structure in the three-cylinder engine.

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Fig 2.

The structure of three-cylinder engine balanced system.

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Fig 3.

The structure of driven gear in the three-cylinder engine balancing system.

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Fig 4.

Design process for improving the structure of the balanced vibration balanced gear.

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Table 1.

Balance performance index of a certain type of three-cylinder engine balanced system.

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Table 2.

Main parameters of the balanced vibration balanced gear.

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Table 2 Expand

Fig 5.

Plane characteristics of weight-increasing module.

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Fig 6.

Plane characteristics of weight-reducing hole module.

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Fig 7.

Plane characteristics of weight-reducing groove module.

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Fig 8.

Plane characteristics of rubber ring module.

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Table 3.

Factor level table.

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Table 3 Expand

Table 4.

Error evaluation of the radial basis function response mapping model.

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Table 5.

NSGA-II multiobjective genetic algorithm optimization results.

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Fig 9.

First eight order natural frequency modes.

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Table 6.

Natural frequency table of balanced gear.

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Table 6 Expand

Fig 10.

Radial stiffness corresponding to different rubber ring properties.

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Fig 11.

Torsional stiffness corresponding to different rubber ring properties.

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Fig 12.

Vibration response during rigid gear transmission.

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Fig 13.

Vibration response during balanced gear transmission.

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Table 7.

Comparison of vibration response of the old and new system.

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Table 7 Expand