Effects of directional rotation radius and transmission error on the dynamic characteristics of face gear transmission system

Abstract

The effects of directional rotation radius and transmission error excitation on the nonlinear dynamic characteristics of face gear transmission system are analyzed. First, the accurate time-varying mesh stiffness is calculated using finite element method, and the nonlinear motion equation of the system under static transmission error excitation is proposed. The frequency response curve, time history curve, dynamic mesh force curve and dynamic factor curve are given, and the phenomena of jump, multiple solutions and tooth impact are observed. The numerical results show that the effect of amplitude variation of directional rotation radius on the dynamic characteristics of face gear pair is less conspicuous than that of transmission error but actually existing. The amplitude of the dynamic response of face gear pair reduces to some extent with the uniform distribution of the loading area through enlarging the amplitude variation of directional rotation radius. The static transmission error excitation should be reduced to perfect the transmission property. The system is in periodic motion most of the time, and tooth impact occurs only near $ω = 1$ . Since its dynamic property at low velocity and high velocity is good, the system should get through the resonant area quickly in work.

Keywords

Face gear accurate time-varying mesh stiffness directional rotation radius transmission error excitation dynamic characteristics

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References

Kahraman

Singh

. Non-linear dynamics of a geared rotor-bearing system with multiple clearances. J Sound Vib 1991; 144: 469–506.

Kahraman

Singh

. Interactions between time-varying mesh stiffness and clearance non-linearities in a geared system. J Sound Vib 1991; 146: 135–156.

Tang

Chen

Zhong

. An improved nonlinear model for a spur gear pair system. Eng Mech 2008; 25: 217–223. (In Chinese).

Chen

Tang

. Effect of backlash on dynamics of spur gear pair system with friction and time-varying stiffness. J Mech Eng 2009; 45: 119–124. (In Chinese).

Chen

Tang

Luo

. Nonlinear dynamic characteristics of geared rotor bearing systems with dynamic backlash and friction. Mech Machine Theory 2011; 46: 466–478.

Wang

Lim

. Analysis of the mesh characteristics of hypoid gear pair dynamics. ASME Conf Proc 2003; 2003: 425–431.

Wang

Lim

. Dynamics of a hypoid gear pair considering the effects of time-varying mesh parameters and backlash nonlinearity. J Sound Vib 2007; 308: 302–329.

Cheng

Lim

. Dynamics of hypoid gear transmission with nonlinear time-varying mesh characteristics. J Mech Des 2003; 125: 10–10.

Zanzi

Pedrero

. Application of modified geometry of face gear drive. Comput Methods Appl Mech Eng 2005; 194: 3047–3066.

10.

Litvin

Egelja

Tan

. Computerized design, generation and simulation of meshing of orthogonal offset face-gear drive with a spur involute pinion with localized bearing contact. Mech Machine Theory 1998; 33: 87–102.

11.

Litvin

Fuentes

Zanzi

. Face-gear drive with spur involute pinion: geometry, generation by a worm, stress analysis. Comput Methods Appl Mech Eng 2002; 191: 2785–2813.

12.

Litvin FL, Wang JC, Bossler RB, et al. Face-gear drives: design, analysis, and testing for helicopter transmission applications. Technical Report No. 92-C-009, 1992, p. 16.

13.

Litvin

Wang

Bossler

JRB

Chen

YJD

. Application of face-gear drives in helicopter transmissions. J Mech Des 1994; 116: 672–676.

14.

Guingand

de Vaujany

J-P

Jacquin

C-Y

. Quasi-static analysis of a face gear under torque. Comput Methods Appl Mech Eng 2005; 194: 4301–4318.

15.

Yang

Wang

Fan

. Nonlinear dynamics of face-gear transmission system. J Vib Shock 2010; 29: 218–234. (In Chinese).

16.

Jin

Zhu

Bao

. Nonlinear dynamical characteristics of face gear transmission system. J Central South University (Sci Technol) 2010; 41: 1807–1813. (In Chinese).

17.

Jin

Zhu

. Analysis of the coupling vibration of a face gear transmission system. Mech Sci Technol Aerospace Eng 2009; 28: 124–128. (In Chinese).

18.

Blankenship

Kahraman

. Steady state forced response of a mechanical oscillator with combined parametric excitation and clearance type non-linearity. J Sound Vib 1995; 185: 743–765.

19.

Özgüven

Houser

. Dynamic analysis of high speed gears by using loaded static transmission error. J Sound Vib 1988; 125: 71–83.