A Proportional Derivative (PD) Controller for Suppression the Vibrations of a Contact-Mode AFM Model

Hamed, Y. S.; Albogamy, K. M.; Sayed, M.

doi:10.1109/access.2020.3038150

Cited by 7 publications

(4 citation statements)

References 31 publications

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“…The very good agreement between the results achieved from various models illustrates the validity and accuracy of the proposed bond graph model [23]. When the precise mathematical model is established of gear train, the dynamic behavior of vibration characteristics and stability of the motion system can be truly grasped [24][25][26][27].…”

Section: Introductionmentioning

confidence: 56%

Dynamic characteristics of single-loop gear system based on bond graph method

Zhou¹,

Cui²

2022

J. vibroeng.

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The complexity of single-loop gear system transmission structure makes it difficult for traditional modeling methods to establish precise dynamic model, which greatly affects the accuracy of its dynamic characteristics research. Firstly, a structure diagram is established by adopting modularization idea according to the structural properties of single-loop gear system. On this basis, a precise bond graph model of the single-loop gear system is obtained combining the modeling principle of bond graph method and the advantages of rich graphics library. Secondly, the dynamic state equation of single-loop gear system is obtained from bond graph model. The simulation model of gear system is established by numerical simulation method. Eventually, the dynamic characteristics of a single-loop gear system are acquired by calculating two dynamic indexes of the system under linear and weakly nonlinear states. The simulation results show that the bond graph method can accurately describe the mathematical model of single-loop gear train and master the dynamic characteristics of complex gear train. This will provide a reference for the structural design and dynamic characteristics of the transmission system.

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Section: Introductionmentioning

confidence: 56%

Dynamic characteristics of single-loop gear system based on bond graph method

Zhou¹,

Cui²

2022

J. vibroeng.

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“…The resulting non-linear algebraic equations system cannot be solved analytically, leading us to adopt the Newton-Raphson numerical technique. The extracted equilibrium solutions of the amplitudes a n and phases φ n can be classified as either stable or unstable, according to Lyapunov's linearization technique [7,16,18,19,32,33,40].…”

Section: The Amplitudes and Phases Equations Of The Blade And Controllermentioning

confidence: 99%

“…Han et al [31] formulated the steady-state dynamic responses of rotating bending-torsion coupled composite Timoshenko beams subjected to distributive and/or concentrated harmonic loadings. Hamed et al [32,33] applied either time-delayed PPF or PD controllers on a multi-excitation atomic force microscopy (AFM) model in order to extract the time delay effects on the vibration control process. It is worth mentioning the importance of the homotopy perturbation method (HPM) in solving linear and non-linear problems.…”

Section: Introductionmentioning

confidence: 99%

Influence of Time Delay on Controlling the Non-Linear Oscillations of a Rotating Blade

Hamed

Kandil

2021

Symmetry

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Time delay is an obstacle in the way of actively controlling non-linear vibrations. In this paper, a rotating blade’s non-linear oscillations are reduced via a time-delayed non-linear saturation controller (NSC). This controller is excited by a positive displacement signal measured from the sensors on the blade, and its output is the suitable control force applied onto the actuators on the blade driving it to the desired minimum vibratory level. Based on the saturation phenomenon, the blade vibrations can be saturated at a specific level while the rest of the energy is transferred to the controller. This can be done by adjusting the controller natural frequency to be one half of the blade natural frequency. The whole behavior is governed by a system of first-order differential equations gained by the method of multiple scales. Different responses are included to show the influences of time delay on the closed-loop control process. Also, a good agreement can be noticed between the analytical curves and the numerically simulated ones.

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“…The natural gas venting ignition pipeline has nonlinear vibration. The current researches on nonlinear vibration include the nonlinear vibrations of a contact-mode atomic force microscopy(AFM) model subjected to multi excitations are controlled via a time-delayed positive position feedback (PPF) controller [10], M. Sayed et al applied active control to the nonlinear dynamic beam system to eliminate its vibration [11], Ali Kandil first derived a nonlinear dynamic equation for controlling the lateral vibration of a controlled system under a constant stiffness coefficient [12], the work of N. A. Saeed et al aims to study and control the nonlinear dynamic behavior of a nonlinear asymmetric shaft system [13,14], Y. S. HAMED et al studied the nonlinear dynamics control of a contact atomic force microscope system using a time-delay proportional-differential controller [15,16]. However, the above studies have rarely studied the vibration characteristics of vented horizontal pipes and risers.…”

Section: Introductionmentioning

confidence: 99%

Vibration characteristics analysis and structural improvement of natural gas venting ignition pipeline

Chen¹,

Tan²,

Tian³

2021

J., mech. eng. autom., control. syst.

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In order to study the flow-induced vibration characteristics of the natural gas vent pipeline under the internal flow field, taking the gas transmission station pipeline as an example, the ANSYS Workbench software was used to establish models under two working conditions, uncoupling and fluid-solid coupling, for modal analysis, and analyze and compare the calculation results and propose a structural improvement plan. The results show that the maximum amplitude of the first three modes under the two working conditions is concentrated on the riser mouth, and the amplitude under the fluid-solid coupling condition is slightly larger than that of no coupling; the inner diameter of the pipe elbow is large and the pressure is small, and the outside diameter is small and the pressure is small. Large, this instability will increase the air pulsation of the flow field. In the improved scheme, adding a restriction on the top to increase the rigidity of the pipeline can significantly reduce the maximum amplitude of the gas pipeline; adding an orifice to eliminate air flow pulsation has a certain effect on reducing the maximum amplitude and natural frequency, and the combination of the two can make the pipeline more stable. The research results of this paper can provide improved ideas for vibration reduction at the natural gas venting operation site.

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A Proportional Derivative (PD) Controller for Suppression the Vibrations of a Contact-Mode AFM Model

Cited by 7 publications

References 31 publications

Dynamic characteristics of single-loop gear system based on bond graph method

Dynamic characteristics of single-loop gear system based on bond graph method

Influence of Time Delay on Controlling the Non-Linear Oscillations of a Rotating Blade

Vibration characteristics analysis and structural improvement of natural gas venting ignition pipeline

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