scholarly journals Control of 2D Flexible Structures by Confinement of Vibrations and Regulation of Their Energy Flow

2009 ◽  
Vol 16 (2) ◽  
pp. 213-228 ◽  
Author(s):  
Fakhreddine Landolsi ◽  
Slim Choura ◽  
Ali H. Nayfeh
Keyword(s):  
Energy Flow ◽  
Vibrational Energy ◽  
Flexible Structures ◽  
Control Design ◽  
Control Law ◽  
Control Parameters ◽  
Feedback Strategy ◽  
Model Simulations ◽  
Suppression Process ◽  
Discretized Model

In this paper, we investigate the control of 2D flexible structures by vibration confinement and the regulation of their energy flow along prespecified spatial paths. A discretized-model-based feedback strategy, aiming at confining and suppressing simultaneously the vibration, is proposed. It is assumed that the structure consists of parts that are sensitive to vibrations. The control design introduces a new pseudo-modal matrix derived from the computed eigenvectors of the discretized model. Simulations are presented to show the efficacy of the proposed control law. A parametric study is carried out to examine the effects of the different control parameters on the simultaneous confinement and suppression of vibrations. In addition, we conducted a set of simulations to investigate the flow control of vibrational energy during the confinement-suppression process. We found that the energy flow can be regulated via a set of control parameters for different confinement configurations.

Confinement and Suppression of Structural Vibrations

2001 ◽  
Vol 123 (4) ◽  
pp. 496-501 ◽  
Author(s):  
Slim Choura ◽  
Ahmet S. Yigit
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Vibrational Energy ◽  
Flexible Structures ◽  
Element Model ◽  
Structural Vibrations ◽  
Feedback Strategy ◽  
Feedback Scheme ◽  
Vibratory Motion ◽  
Discretized Model

A feedback strategy, aiming at confining and suppressing simultaneously the vibratory motion in flexible structures, is proposed. It is assumed that the structure consists of parts that are sensitive to vibration. The proposed strategy makes use of control inputs whose number is less than or equal to that of the dimension of the discretized model. The design objective is to devise a feedback scheme that leads to transferring the vibrational energy from the sensitive parts to the remaining parts of the structure. In order to keep away from the build-up of transferred energy in the nonsensitive parts, the feedback scheme considers, along with the confinement, the suppression of vibration in both the sensitive and nonsensitive parts. The proposed strategy also accounts for the presence of persistent excitations. A finite element model of a cantilever beam is used to show the viability of the proposed strategy.

Confinement and Suppression of Structural Vibrations

2001 ◽  
Author(s):  
Slim Choura ◽  
Ahmet S. Yigit
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Vibrational Energy ◽  
Flexible Structures ◽  
Element Model ◽  
Structural Vibrations ◽  
Feedback Strategy ◽  
Feedback Scheme ◽  
Vibratory Motion ◽  
Discretized Model

Abstract A feedback strategy, aiming at confining and suppressing simultaneously the vibratory motion in flexible structures, is proposed. It is assumed that the structure consists of parts that are sensitive to vibration. The proposed strategy makes use of control inputs whose number is less than or equal to that of the dimension of the discretized model. The design objective is to devise a feedback scheme that leads to transferring the vibrational energy from the sensitive parts to the remaining parts of the structure. In order to keep away from the build-up of transferred energy in the nonsensitive parts, the feedback scheme considers, along with the confinement, the suppression of vibration in both the sensitive and non-sensitive parts. The proposed strategy also accounts for the presence of persistent excitations. A finite element model of a cantilever beam is used to show the viability of the proposed strategy.

Design and Experimental Evaluation of a Data-Oriented Generalized Predictive PID Controller

2016 ◽  
Vol 28 (5) ◽  
pp. 722-729 ◽  
Author(s):  
Zhe Guan ◽  
◽  
Shin Wakitani ◽  
Toru Yamamoto ◽  
Keyword(s):  
Predictive Control ◽  
Pid Controller ◽  
Control Design ◽  
Point Of View ◽  
Generalized Predictive Control ◽  
Control Law ◽  
Control Parameters ◽  
Proportional Integral Derivative ◽  
Molding Machine ◽  
Output Data

[abstFig src='/00280005/15.jpg' width='300' text='Schematic figure of data-oriented GPC-PID controller' ] This paper presents a data-oriented technique for designing a proportional-integral-derivative (PID) controller based on a generalized predictive control law for linear unknown systems. In several control design approaches, a model-based control theory, which requires accurate modeling and identification of the plant, is used to calculate the control parameters. However, in higher-order systems and/or systems with an unknown time delay such as chemical industries and thermal industries, it is difficult to model or identify the plant accurately. Over the last decade, data-oriented techniques in which the online or offline data are utilized have been attracting considerable attention. Designing the controllers for unknown plants based on only the input/output data is the main feature of this technique. In this study, controller parameters are first obtained by using a generalized predictive control law with the data-oriented technique, and are converted to PID parameters from the practical point of view. The proposed method is validated experimentally using a real injection-molding machine. The results demonstrate the efficiency of the proposed method.

Direct Observation of Vibrational Energy Flow in Cytochromec

2011 ◽  
Vol 115 (44) ◽  
pp. 13057-13064 ◽  
Author(s):  
Naoki Fujii ◽  
Misao Mizuno ◽  
Yasuhisa Mizutani
Keyword(s):  
Direct Observation ◽  
Energy Flow ◽  
Vibrational Energy ◽  
Vibrational Energy Flow

Controllability Ellipsoid to Evaluate the Performance of Mobile Manipulators for Manufacturing Tasks

2017 ◽  
Vol 9 (6) ◽  
Author(s):  
Stephen L. Canfield ◽  
Reabetswe M. Nkhumise
Keyword(s):  
Time Domain ◽  
Controller Design ◽  
Control Design ◽  
Quantitative Measure ◽  
Space Representation ◽  
System Response ◽  
Geometric Representation ◽  
Mobile Manipulators ◽  
Control Parameters ◽  
The Time Domain

This paper develops an approach to evaluate a state-space controller design for mobile manipulators using a geometric representation of the system response in tool space. The method evaluates the robot system dynamics with a control scheme and the resulting response is called the controllability ellipsoid (CE), a tool space representation of the system’s motion response given a unit input. The CE can be compared with a corresponding geometric representation of the required motion task (called the motion polyhedron) and evaluated using a quantitative measure of the degree to which the task is satisfied. The traditional control design approach views the system response in the time domain. Alternatively, the proposed CE views the system response in the domain of the input variables. In order to complete the task, the CE must fully contain the motion polyhedron. The optimal robot arrangement would minimize the total area of the CE while fully containing the motion polyhedron. This is comparable to minimizing the power requirements of robot design when applying a uniform scale to all inputs. It will be shown that changing the control parameters changes the eccentricity and orientation of the CE, implying a preferred set of control parameters to minimize the design motor power. When viewed in the time domain, the control parameters can be selected to achieve desired stability and time response. When coupled with existing control design methods, the CE approach can yield robot designs that are stable, responsive, and minimize the input power requirements.

Vibrational energy flow across heme–cytochrome c and cytochrome c–water interfaces

2015 ◽  
pp. 129-138
Author(s):  
Johnson K. Agbo ◽  
Yao Xu ◽  
Ping Zhang ◽  
John E. Straub ◽  
David M. Leitner
Keyword(s):  
Cytochrome C ◽  
Energy Flow ◽  
Vibrational Energy ◽  
Vibrational Energy Flow
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