Optimal locations and orientations of piezoelectric transducers on cylindrical shell based on gramians of contributed and undesired Rayleigh–Ritz modes using genetic algorithm

Biglar, Mojtaba; Mirdamadi, Hamid Reza; Danesh, Mohammad

doi:10.1016/j.jsv.2013.10.025

Cited by 29 publications

(19 citation statements)

References 28 publications

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“…Based on the system controllability and observability theory, one can obtain that the state variables of the TFMS are completely controllable and observable [32,33]. en, with our previous work on the design of the two-timescale observer for the flexible manipulator combined [31], the SFIC of the TFMS is constructed and shown in Figure 2, where Y r (L, t) is the expected displacement of the end of the TFMS, K z is the gain matrix of the state feedback controller, K i is the coefficient of the integral controller, and Δ represents the observation value of the corresponding quantity.…”

Section: Control Designmentioning

confidence: 99%

“…On the contrary, it is obvious that the zero points of equation (32) cover the poles of the original system, which is also the reason why the designed mode vibration shaper can effectively alleviate the time-lag effect of the conventional input shaper. us, the time lag (t s 2 ) in equation (32) can be selected arbitrarily.…”

Section: Design Of the Two-mode Vibration Cascade Shapermentioning

confidence: 99%

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Master‐Slave Integrated Control for the Transverse Vibration of a Translational Flexible Manipulator Based on Input Shaping and State Feedback

Liu

Zhang

2019

Shock and Vibration

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The problem of the elastic vibration control for a translational flexible manipulator system (TFMS) under variable load conditions is studied. The input shaper can effectively filter out the vibration excitation components for the flexible manipulator in the driving signals, but the adaptability and rapidity of the conventional input shaper are poor because it is essentially an open-loop control mode and there are time-lag links inevitably. Thus, by combining the state feedback with the input shaping, a master-slave integrated controller of the TFMS is proposed. Moreover, in order to solve the time-lag effect of the conventional input shaper, based on the optimal algorithm, a two-mode vibration cascade shaper for the TFMS is designed. Then, under variable load conditions, the control effects of the conventional input shapers, the two-mode vibration cascade shaper, and the combination of the state feedback integral controller (SFIC) with the above shapers are investigated. The results show that the designed master-slave integrated controller has high robustness under variable load conditions and takes good account of the requirements of system response time and overshoot for achieving the goal of nonovershoot under fast response speed. Simulation experiment results verify the effectiveness of the designed controller.

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Section: Control Designmentioning

confidence: 99%

Section: Design Of the Two-mode Vibration Cascade Shapermentioning

confidence: 99%

Master‐Slave Integrated Control for the Transverse Vibration of a Translational Flexible Manipulator Based on Input Shaping and State Feedback

Liu

Zhang

2019

Shock and Vibration

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“…Many researchers for optimizing their work have used the GA [34][35][36][37]. The terminology used for GA is brought in Table 1.…”

Section: Application Of Ga For Optimal Location Of Piezoelectric Devicesmentioning

confidence: 99%

Integrated and Consistent Active Control Formulation and Piezotransducer Position Optimization of Plate Structures considering Spillover Effects

Biglar

Mirdamadi

2014

Shock and Vibration

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This study addresses new formulation for active vibration control of plates by optimal locations of attached piezotransducers. Free vibrations are solved by Rayleigh-Ritz and transient by assumed modes methods. Optimal orientations of patches are determined by spatial controllability/observability, as well as residual modes to reduce spillover. These criteria are used to achieve optimal fitness function defined for genetic algorithm to find optimal locations. To control vibrations, negative velocity feedback control is designed. Results indicate that, by locating piezopatches at optimal positions, depreciation rate increases and amplitudes of vibrations reduce effectively. The effect of number of piezodevices is analyzed.

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“…Thus, it is not needed to place the piezoelectric disks in a defined angle before bonding as opposed to square or rectangle piezoelectrics. Unlike the approaches in [25] and [26] in which the orientations of rectangle piezoelectric patches are optimized for active vibration control, this is not required for piezoelectric disks,…”

Section: Introductionmentioning

confidence: 99%

Theoretical and Experimental Study of Active Vibration Control of a Cylindrical Shell Using Piezoelectric Disks

Loghmani

Danesh

Keshmiri

et al. 2015

Journal of Low Frequency Noise, Vibration and Active Control

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Active vibration control of a cylindrical shell using piezoelectric disks is studied both theoretically and experimentally in this paper. Hamilton's principle is used for deriving dynamic motion equations of the cylinder coupled with piezoelectric disks. The equations are discretised by Rayleigh-Ritz method. An adaptive feedforward controller based on steepest descent method is implemented on a PC to control the modal vibration. The proposed method solves the drawback of using PCs that is sending and receiving data in block form. It is shown that the proposed control system which consists of piezoelectric disks and an adaptive controller is effective in reducing vibration and radiated acoustic noise.

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Optimal locations and orientations of piezoelectric transducers on cylindrical shell based on gramians of contributed and undesired Rayleigh–Ritz modes using genetic algorithm

Cited by 29 publications

References 28 publications

Master‐Slave Integrated Control for the Transverse Vibration of a Translational Flexible Manipulator Based on Input Shaping and State Feedback

Master‐Slave Integrated Control for the Transverse Vibration of a Translational Flexible Manipulator Based on Input Shaping and State Feedback

Integrated and Consistent Active Control Formulation and Piezotransducer Position Optimization of Plate Structures considering Spillover Effects

Theoretical and Experimental Study of Active Vibration Control of a Cylindrical Shell Using Piezoelectric Disks

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