Research on Trajectory Planning and Fuzzy Predictive Vibration Control for a Rotating Flexible Dual-Beam System

Author(s):  
Zhi-cheng Qiu ◽  
Wen-zheng Zhang ◽  
Xian-min Zhang
Author(s):  
Gordon P. Pennock ◽  
Jeremiah J. Alwerdt

This paper provides geometric insight into the duality between the kinematics of epicyclic gear trains and the statics of beam systems. The two devices have inherent geometrical relationships that allow the angular velocities of the gears in a gear train to be investigated from a knowledge of the forces acting on the dual beam system, and vice-versa. The primary contribution of the paper is the application of this duality to obtain the dual beam system for a given compound epicyclic gear train. The paper develops a systematic procedure to transform between the first-order kinematics of a gear train and the statics of the dual beam system. This provides a simple and intuitive approach to study the speed ratios of an epicyclic gear train and the force ratios of the dual beam system. The speed ratios are expressed in terms of kinematic coefficients, which are a function of the position of the input gear and provide insight into the gear train geometry. Several numerical examples of simple and compound epicyclic gear trains are presented to demonstrate the simplicity of the proposed approach. The analytical equations that are developed in the paper can be incorporated, in a straightforward manner, into a spreadsheet that is oriented towards an epicyclic gear train satisfying specific design requirements.


Author(s):  
Daniel Go¨rges ◽  
Jens Kroneis ◽  
Steven Liu

In this paper a novel concept for active vibration control of storage and retrieval machines is presented. The storage and retrieval machine is modeled based on the Bernoulli-Euler beam theory, yielding an infinite-dimensional model, and the assumed modes method in order to obtain a finite-dimensional model. The resulting model is of low order, a fourth-order model regarding the first and the second eigenfrequency describes the dynamics sufficiently. The model is verified on an experimental storage and retrieval machine. Several active vibration control strategies are studied, including trajectory planning approaches like higher-order trajectory planning, feedforward control approaches like trajectory filtering and input shaping, and feedback control approaches like state-feedback control. The strategies are evaluated by simulation and compared via performance measures.


2021 ◽  
Vol MA2021-03 (1) ◽  
pp. 253-253
Author(s):  
Kyung Taek Bae ◽  
Joonam Park ◽  
Dong Woo Joh ◽  
Jeong Hwa Park ◽  
Dohwan Kim ◽  
...  

2015 ◽  
Vol 15 (6) ◽  
pp. 4591-4595 ◽  
Author(s):  
Wei Chen ◽  
Shiqiao Qin ◽  
Xue-Ao Zhang ◽  
Jingyue Fang ◽  
Guang Wang ◽  
...  

2016 ◽  
Vol 64 ◽  
pp. 362-366 ◽  
Author(s):  
Y.Z. Zhao ◽  
Q.J. Wang ◽  
P.K. Tan ◽  
H.H. Yap ◽  
B.H. Liu ◽  
...  

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