scholarly journals Simultaneous Optimization of Positioning and Vibration Control Using Frequency-Shaped Time-Varying Criterion Function.

1994 ◽  
Vol 60 (573) ◽  
pp. 1526-1533
Author(s):  
Susumu Hara ◽  
Kazuo Yoshida
Author(s):  
Susumu Hara ◽  
Kazuo Yoshida

Abstract For positioning control of such vibrating system as flexible structures, it is important to reduce vibration. In the problem, influences of such uncertainties as variations of parameters of controllers possess nonstationary characteristics. This paper presents an integrated synthesis method of both motion and vibration controller maintaining the robustness of the control by using a time-varying criterion function. In this method, a smooth change from H2 positioning control to H vibration control is realized by solving time-varying Riccati equations in stead of time-invariant Riccati equations. This method is applied to a positioning problem of flexible tower-like structure. In comparison with the former methods proposed by the authors, the usefulness of the method is verified theoretically and experimentally.


1994 ◽  
Vol 6 (4) ◽  
pp. 278-284 ◽  
Author(s):  
Susumu Hara ◽  
◽  
Kazuo Yoshida ◽  

For the positioning control of flexible structures, it is important to reduce residual vibration after the positioning is completed. If a positioning controller and a vibration controller are designed independently and abrupt switching is performed from the former to the latter, the moving structure suffers from impact, and additional vibration is caused. This paper presents a method for simultaneously synthesizing both motion and vibration controllers, using a time-varying criterion function for optimal control. This method is applied to the positioning control of a flexible structure. The usefulness of the method is verified theoretically and experimentally.


Author(s):  
P Bonello ◽  
K H Groves

An adaptive tuned vibration absorber (ATVA) can retune itself in response to a time-varying excitation frequency, enabling effective vibration attenuation over a range of frequencies. For a wide tuning range the ATVA is best realized through the use of a beam-like structure whose mechanical properties can be adapted through servo-actuation. This is readily achieved either by repositioning the beam supports (‘moveable-supports ATVA’) or by repositioning attached masses (‘moveable-masses ATVA’), with the former design being more commonly used, despite its relative constructional complexity. No research to date has addressed the fact that the effective mass of such devices varies as they are retuned, thereby causing a variation in their attenuation capacity. This article derives both the tuned frequency and effective mass characteristics of such ATVAs through a unified non-dimensional modal-based analysis that enables the designer to quantify the expected performance for any given application. The analysis reveals that the moveable-masses concept offers significantly superior vibration attenuation. Motivated by this analysis, a novel ATVA with actuator-incorporated moveable masses is proposed, which has the additional advantage of constructional simplicity. Experimental results from a demonstrator correlate reasonably well with the theory, and vibration control tests with logic-based feedback control demonstrate the efficacy of the device.


2018 ◽  
Vol 28 (17) ◽  
pp. 5213-5231 ◽  
Author(s):  
Wei He ◽  
Zhe Jing ◽  
Xiuyu He ◽  
Jin-Kun Liu ◽  
Changyin Sun

2017 ◽  
Vol 199 ◽  
pp. 1743-1748 ◽  
Author(s):  
Sergio Pastor Ontiveros-Pérez ◽  
Letícia Fleck Fadel Miguel ◽  
Leandro Fleck Fadel Miguel

2019 ◽  
Vol 2019 ◽  
pp. 1-9 ◽  
Author(s):  
Luciara Silva Vellar ◽  
Sergio Pastor Ontiveros-Pérez ◽  
Letícia Fleck Fadel Miguel ◽  
Leandro Fleck Fadel Miguel

Passive energy devices are well known due to their performance for vibration control in buildings subjected to dynamic excitations. Tuned mass damper (TMD) is one of the oldest passive devices, and it has been very much used for vibration control in buildings around the world. However, the best parameters in terms of stiffness and damping and the best position of the TMD to be installed in the structure are an area that has been studied in recent years, seeking optimal designs of such device for attenuation of structural dynamic response. Thus, in this work, a new methodology for simultaneous optimization of parameters and positions of multiple tuned mass dampers (MTMDs) in buildings subjected to earthquakes is proposed. It is important to highlight that the proposed optimization methodology considers uncertainties present in the structural parameters, in the dynamic load, and also in the MTMD design with the aim of obtaining a robust design; that is, a MTMD design that is not sensitive to the variations of the parameters involved in the dynamic behavior of the structure. For illustration purposes, the proposed methodology is applied in a 10-story building, confirming its effectiveness. Thus, it is believed that the proposed methodology can be used as a promising tool for MTMD design.


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