Dynamic Response of a Planetary Gear System Using a Finite Element/Contact Mechanics Model

Abstract

The dynamic response of a helicopter planetary gear system is examined over a wide range of operating speeds and torques. The analysis tool is a unique, semianalytical finite element formulation that admits precise representation of the tooth geometry and contact forces that are crucial in gear dynamics. Importantly, no a priori specification of static transmission error excitation or mesh frequency variation is required; the dynamic contact forces are evaluated internally at each time step. The calculated response shows classical resonances when a harmonic of mesh frequency coincides with a natural frequency. However, peculiar behavior occurs where resonances expected to be excited at a given speed are absent. This absence of particular modes is explained by analytical relationships that depend on the planetary configuration and mesh frequency harmonic. The torque sensitivity of the dynamic response is examined and compared to static analyses. Rotational mode response is shown to be more sensitive to input torque than translational mode response. [S1050-0472(00)00403-7]

Transmission Error Analysis and Disturbance Optimization of Two‐Stage Spur Gear Space Driven Mechanism with Large Inertia Load

“…The accuracy level of gear pair 2 was increased to 5-h and the partial parameters of gear pair 2 are presented in Table 2. Through the input torque control, the load torque changed as presented in (8) in the sine form, where the sine parameters were taken as = 0.2 , = 1/2 , and = 0.05 . The DTE values of the load prior to and following optimization were compared, as presented in Figures 16 and 17.…”

“…Lassâad Walha [6] and Kamel Abboudi [7] established a 12-DOF nonlinear dynamic model for the two-stage gear system, only considering the gear system itself without the effects of input and output in the model. Parker [8,9] and Fernández [10] established a finite element model of gear transmission, based on the finite element contact mechanics theory. Wu [11] established a dynamic finite element model of the gear transmission system based on finite element analysis software.…”

Gearbox Simulation Models with Gear and Bearing Faults

“…They proposed an elegant solution by modelling the contact by an analytical technique and relating the resulting force distribution to a coarsely meshed FE model. This technique has proven so efficient that they were capable of simulating the dynamics of spur and planetary gears by [19,20] (see Figure-2.4.1). For more details see the CALYX user's manuals [21,22].…”

Influence of the Eccentric Error of Star Gear on the Bifurcation Properties of Herringbone Star Gear Transmission with Floating Sun Gear

“…Most of them focus on dynamic behavior and load sharing of PGT [5][6][7][8][9][10][11][12]. The methods used by these research are classified into three main types: numerical analysis [10], finite element method [13,14], and experiment [11]. The influence factors considered in the works consist mainly of meshing stiffness [15], support stiffness [16], assembly error, eccentric error [3,11,12,[17][18][19], profile modification [9], floating component [5,17,20], flexible component [21,22], and so on.…”