Vibration characteristics tuning of torsional vibration system by using a novel planetary gear type inerter.

This study aims at proposing a novel planetary gear type inerter which has a capability of regulating the resonance and anti-resonance characteristics of the torsional vibration system, for example, reducing resonance and anti-resonance frequencies, generating new anti-resonance, etc. The ideal inerter is introduced by Smith (2002) as “a mechanical two-terminal, one-port device with the property that the equal and opposite force applied at the nodes is proportional to the relative acceleration between the nodes[1].” The proposed inerter consists of a planetary gear unit. The governing equation of the proposed inerter is derived as matrix formula. According to the theoretical analysis of the formulation in the frequency domain via Laplace transformation, the proposed inerter has the capability to tune the vibration characteristics of the torsional vibration system. Under the simplification assumptions of the system parameters, the numerical simulation results successfully demonstrate the vibration characteristics tuning capability of the proposed inerter.

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Free torsional vibration characteristics of compound planetary gear sets

Mechanism and Machine Theory ◽

10.1016/s0094-114x(01)00033-7 ◽

2001 ◽

Vol 36 (8) ◽

pp. 953-971 ◽

Cited By ~ 97

Author(s):

Ahmet Kahraman

Keyword(s):

Torsional Vibration ◽

Planetary Gear ◽

Vibration Characteristics ◽

Planetary Gear Sets

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Analysis of vibration characteristics and adaptive continuous perturbation control of some torsional vibration system with backlash

Chaos Solitons & Fractals ◽

10.1016/j.chaos.2017.06.001 ◽

2017 ◽

Vol 103 ◽

pp. 151-158 ◽

Cited By ~ 5

Author(s):

Shuang Liu ◽

Hongling Ai ◽

Zhenjun Lin ◽

Zong Meng

Keyword(s):

Torsional Vibration ◽

Vibration Characteristics ◽

Vibration System ◽

Continuous Perturbation

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Dynamic Modeling of the Torsional Vibration of the Slewing Mechanism of a Hydraulic Excavator

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.253-255.2102 ◽

2012 ◽

Vol 253-255 ◽

pp. 2102-2106 ◽

Cited By ~ 1

Author(s):

Xu Juan Yang ◽

Zong Hua Wu ◽

Zhao Jun Li ◽

Gan Wei Cai

Keyword(s):

Torsional Vibration ◽

Natural Frequencies ◽

Planetary Gear ◽

Moment Of Inertia ◽

Hydraulic Excavator ◽

Planetary Gear Trains ◽

Vibration Model ◽

Gear Trains ◽

The Moment ◽

Relationship Of

A torsional vibration model of the slewing mechanism of a hydraulic excavator is developed to predict its free vibration characteristics with consideration of many fundamental factors, such as the mesh stiffness of gear pairs, the coupling relationship of a two stage planetary gear trains and the variety of moment of inertia of the input end caused by the motion of work equipment. The natural frequencies are solved using the corresponding eigenvalue problem. Taking the moment of inertia of the input end for example to illustrate the relationship between the natural frequencies of the slewing mechanism and its parameters, based on the simulation results, just the first order frequency varies significantly with the moment of inertia of the input end of the slewing mechanism.

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Analysis of Models for Torsional Vibration of Shaft System With Planetary Gearing

Volume 1B: 16th Biennial Conference on Mechanical Vibration and Noise ◽

10.1115/detc97/vib-4036 ◽

1997 ◽

Author(s):

Jinghui Sun ◽

Lee Liu ◽

William N. Patten

Keyword(s):

Torsional Vibration ◽

Planetary Gear ◽

Gear Train ◽

Mathematical Treatment ◽

Dynamic Parameters ◽

Mass Model ◽

Planar Model ◽

Shaft System ◽

Effective Dynamic ◽

Single Mass

Abstract The kinematics of planetary gearing are complex; thus, making it difficult to build an effective dynamic model. In this paper, a single-mass model of a planetary gear and shaft system is developed to study the torsional vibration of the mechanism. Two new models of the system are proposed: (a) a fictitious co-planar model and (b) an equivalent shaft model. The results from the calculations and analyses using these models indicate that: 1) the single-mass model and the general rotary model are both limited, either mathematically or geometrically; 2) the fictitious co-planar model includes all of the geometric and dynamic parameters of the general rotary model, and it can be connected with the shaft system easily; and 3) using a mathematical treatment, the equivalent shaft model is demonstrated to be the most useful and most effective model for the calculation of torsional vibration of a shaft and planetary gear train.

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