Modal properties of a two-stage planetary gear system with a Timoshenko beam as the intermediate shaft model

Abstract

This study investigates the mode properties of a two-stage planetary gear (TSPG) system with short intermediate shafts. For this purpose, the rotating intermediate shafts in this system are considered Timoshenko beams and compared with the Euler-Bernoulli beam model. The gyroscopic effect is also considered in the TSPG model. The natural frequencies are given, and mode energy analysis is applied to quantify the importance of intermediate shafts in the total TSPG system. The vibration modes are speed dependent, and three mode types exist. The influence of the rotational speed, length of intermediate shafts and number of planets is evaluated.

Dynamic Modeling for Chatter Analysis in Micro-Milling by Integrating Effects of Centrifugal Force, Gyroscopic Moment, and Tool Runout

“…And the gyroscopic moment about the Z-axis in the X-direction can be expressed as Summing the above two equations yields the kinetic energy generated by the gyroscopic moments acting on the beam unit [4,14]:…”

“…A dynamic model incorporating the centrifugal force, gyroscopic effect, and tool runout into the motion of spindle-holder-tool assembly is presented in this paper by following previous investigations [6,7,14,15]. In this paper, the introduction is presented in Section 1, which describes the need for comprehensive approaches to modeling the effects of the centrifugal force, gyroscopic moment, and tool runout of chatter vibration in micro-milling.…”

Modal sensitivity of three-dimensional planetary geared rotor systems to planet gear parameters

“…To understand the parameter effects on the dynamic and modal behaviour of geared rotor systems, researchers have mostly focused on stiffness and gyroscopic parameters in the literature [41][42][43][44][45][46][47][48][49][50][51] . These research papers show that the stiffnesses of shafts, bearings and gear teeth can directly affect the modal behaviour and dynamic response of geared rotors.…”

Dynamic modelling and vibration characteristics of a marine compound gear transmission system

“…Later, Sheng et al 33 extended the analysis considering the connecting structure between the left and right gear. Liu and Zhan 34 used the Timoshenko beam to simulate the connecting shaft between two stages, and studied the modal characteristics of a two-stage planetary gear device. Liu et al 35 employed the lumped parameters method to analyse the modal properties of a two-stage planetary gear considering the elasticity of ring gear and the friction force of tooth surface.…”