Experimental and numerical analysis on load-sharing behavior of gear set with simultaneously actuated pinions

Abstract

The load-sharing behavior is important for the gear set actuated by multiple parallel pinions to avoid the excessive wear and fatigue failure. A lumped parameter dynamic model of gear set driven by three pinions simultaneously is established, in which their support stiffness and mounted positions of gear pairs are considered. A load-sharing index is defined as the ratio of the maximal and the minimal transmission loads of three gear pairs. The load-sharing behavior of gear set is numerically investigated with four distributions of three pinions. A corresponding testing device was presented. The load-sharing behavior of gear set with various mounted positions of three pinions was studied experimentally and compared with numerical results. The similar behavior denotes that the load transmission of various gear pairs has close relation with the mounted positions of pinions. Then, the load-sharing behavior of the gear set driven by three pinions is discussed in which the contact ratios and the support stiffness of pinions are considered. The results show that the increase of the contact ratios and the decrease of the support stiffness may worsen the load-sharing behavior of gear set actuated by multiple pinions. Suitable mechanical parameters of gear systems are important for the load transmission and dynamic behavior of multiple gear pairs.

Keywords

Load-sharing index three gear pairs support stiffness mounted positions contact ratios

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References

Shu

. Determination of load sharing factor for planetary gearing with small tooth number difference. Mech Mach Theor 1995; 30: 313–321.

Botman M and Toda A. Planet indexing in planetary gears for minimum vibrations. ASME paper no. 79-DET-73, 1979.

Ma P and Botman M. Load sharing in a planetary gear stage in the presence of gear errors and misalignment? ASME J Mech Des 1985; 107: 4–10.

Kahraman

. Load sharing characteristics of planetary transmissions. Mech Mach Theor 1994; 29: 1151–1165.

Inalpolat

Kahraman

. A theoretical and experimental investigation of modulation sidebands of planetary gear sets. J Sound Vib 2009; 323: 677–696.

Singh

Kahraman

Ligata

. Internal gear strains and load sharing in planetary transmissions: model and experiments. ASME J Mech Des 2008; 130: 072602–1–072602-10.

Singh

. Application of a system level model to study the planetary load sharing behavior. ASME J Mech Des 2005; 127: 469–476.

Gosselin

Cloutier

Nguyen

. A general formulation for the calculation of the load sharing and transmission error under load of spiral bevel and hypoid gears. Mech Mach Theor 1995; 30: 433–150.

Yang

Shi

Meng

. Nonlinear dynamics and load sharing of double-mesh helical gear train. J Eng Sci Tech Rev 2013; 6: 29–34.

10.

Cheon

Parker

. Influence of manufacturing errors on the dynamic characteristics of planetary gear systems. J Mech Sci Tech 2004; 18: 606–621.

11.

Cheon

Parker

. Influence of bearing stiffness on the static properties of a planetary gear system with manufacturing errors. J Mech Sci Tech 2004; 18: 1978–1988.

12.

Ligata

Kahraman

Singh

. An experimental study of the influence of manufacturing errors on the planetary gear stresses and planet load sharing. ASME J Mech Des 2008; 130: 041701–1–041701-9.

13.

Ligata

Kahraman

Singh

. A closed-form planet load sharing formulation for planetary gear sets using a translational analogy. ASME J Mech Des 2009; 131: 021007–1–021007-7.

14.

Velex

. A dynamic model to study the influence of planet position errors in planetary gears. J Sound Vib 2012; 331: 4554–4574.

15.

Eberhard

Zhao

. Sharing behavior of load transmission on gear pair systems actuated by parallel arrangements of multiple pinions. Mech Mach Theor 2013; 65: 58–70.

16.

Lin

Parker

. Planetary gear parametric instability caused by mesh stiffness variation. J Sound Vib 2002; 249: 129–145.