Residual vibration reduction for translation unconstrained or partially unconstrained structures by structural optimization

2018 ◽  
Vol 210 ◽  
pp. 12-27 ◽  
Author(s):  
Kun Yan ◽  
Bo Ping Wang ◽  
Geng Dong Cheng
2004 ◽  
Vol 127 (4) ◽  
pp. 307-314 ◽  
Author(s):  
Jason Lawrence ◽  
William Singhose ◽  
Keith Hekman

Fast and accurate point-to-point motion is a common operation for industrial machines, but vibration will frequently corrupt such motion. This paper develops commands that can move machines without vibration, even in the presence of Coulomb friction. Previous studies have shown that input shaping can be used on linear systems to produce point-to-point motion with no residual vibration. This paper extends command-shaping theory to nonlinear systems, specifically systems with Coulomb friction. This idea is applied to a PD-controlled mass with Coulomb friction to ground. The theoretical developments are experimentally verified on a solder cell machine. The results show that the new commands allow the proportional gain to be increased, resulting in reduced rise time, settling time, and steady-state error.


1999 ◽  
Author(s):  
Nobutaka Tsujiuchi ◽  
Takayuki Koizumi ◽  
Isamu Kubomoto ◽  
Eiichi Ishida

1994 ◽  
Vol 116 (2) ◽  
pp. 654-659 ◽  
Author(s):  
W. Singhose ◽  
W. Seering ◽  
N. Singer

This paper describes a method for limiting vibration in flexible systems by shaping the input to the system. Unlike most previous input shaping strategies, this method does not require a precise system model or lengthy numerical computation; only estimates of the system natural frequency and damping ratio are required. The effectiveness of this method when there are errors in the system model is explored and quantified. Next, an algorithm is presented, which, given an upper bound on acceptable residual vibration amplitude, determines a shaping strategy that is insensitive to errors in the estimate of the natural frequency. Finally, performance predictions are compared to hardware experiments.


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