Optimal control of transverse vibration of Euler-Bernoulli beam with multiple dynamic vibration absorbers using Taguchi's method

Khang, Nguyễn Văn; Phuc, Vu Duc; Huong, Nguyen Thi Van

doi:10.15625/0866-7136/11366

Cited by 3 publications

(3 citation statements)

References 15 publications

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“…Taguchi developed the orthogonal array method to study the systems in a more convenient and rapid way, whose performance is affected by different factors when the system study becomes more complicated with the increase in the number of factors [24][25][26][27][28]. This method can be used to select the best results by optimization of parameters with a minimum number of test runs.…”

Section: A Procedures For Determination Of Gain Values According To F...mentioning

confidence: 99%

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Vibration control and calculating inverse dynamics of the rigid-flexible two-link manipulator T-R

Khang

Dat

2022

Vietnam J. Mech.

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The dynamics and control of flexible link manipulators (FLMs) are increasing in industrial robotics research. In which the problem of inverse dynamics of the flexible link manipulators is a problem that has been studied little and has no general solution. In this paper, an approximation method is presented to calculate the reverse dynamics of the serial manipulators with rigid-flexible links. The linearization of the motion equations for a rigid-flexible translation and rotation two-link manipulator (manipulator T-R) is addressed. The vibration control and calculating inverse dynamics of a periodic rigid-flexible two-link manipulator T-R are studied. The Taguchi method is used for the design of gain values of the controller PD for the manipulator. The results of numerical simulation show the efficiency and usefulness of the proposed approximation method.

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Section: A Procedures For Determination Of Gain Values According To F...mentioning

confidence: 99%

“…(26) (27) According to the above analysis, we obtain the optimal parameters of after 60 iterations. The optimal control parameters are given as follows kp1 = 9.0838, kp2 = 0.1057, kd1 = 20.478, kd2 = 0.0026 (28) Using these values, it is easy to find the Floquet multipliers of Eq.…”

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confidence: 99%

Vibration control and calculating inverse dynamics of the rigid-flexible two-link manipulator T-R

Khang

Dat

2022

Vietnam J. Mech.

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“…In the context of optimal control of a rod or beam, the solution existence of optimal control of the longitudinal vibration of a viscoelastic rod by either a contact force or distributed force is discussed in [73], and the mean mechanical energy minimised by a boundary force is studied, using the methods of the calculus of variations [30], maximum principle [70] and Ritz method [51]; minimisation of the mean square deviation of the Timoshenko beam is investigated by controlling a distributed force [71] or by the angular acceleration [83], and singularity of its solution is discussed in [69]; optimal control of transverse vibration of Euler-Bernoulli beam is introduced in [79]. We will consider displacement tracking of the Cosserat rod in this paper, which, to the best of our knowledge, has not been studied before.…”

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confidence: 99%

A monolithic optimal control method for displacement tracking of Cosserat rod with application to reconstruction of C. elegans locomotion

Wang

Ranner

et al. 2022

Comput Mech

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This article considers an inverse problem for a Cosserat rod where we are given only the position of the centreline of the rod and must solve for external forces and torques as well as the orientation of the cross sections of the centreline. We formulate the inverse problem as an optimal control problem using the position of the centreline as an objective function with the external force and torque as control variables, with meaningful regularisation of the orientations. A monolithic, implicit numerical scheme is proposed in the sense that primal and adjoint equations are solved in a fully-coupled manner and all the nonlinear coefficients of the governing partial differential equations are updated to the current state variables. The forward formulation, determining rod configuration from external forces and torques, is first validated by a numerical benchmark; the solvability and stability of the inverse problem are then tested using data from forward simulations. The proposed optimal control method is motivated by reconstruction of the orientations of a rod’s cross sections, with its centreline being captured through imaging protocols. As a case study, we take the locomotion of the nematode, Caenorhabditis elegans. In this study we take laboratory data for its centreline and infer its cross-section orientation (muscle locations) with the control force and torque being interpreted as the reaction force, activated by C. elegans’ muscles, from the surrounding fluids. This method thus combines the mathematical modelling and laboratory data to study the locomotion of C. elegans, which gives us insights into the potential anatomical orientation of the worm beyond what can be observed through the laboratory data. The paper is completed with several additional remarks explaining the theoretical and technical details of the model.

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Vibration Suppression of Beam Structures by Multiple Dynamic Vibration Absorbers

Dien

Khang

Huong

et al. 2021

Advances in Asian Mechanism and Machine Science

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Optimal control of transverse vibration of Euler-Bernoulli beam with multiple dynamic vibration absorbers using Taguchi's method

Cited by 3 publications

References 15 publications

Vibration control and calculating inverse dynamics of the rigid-flexible two-link manipulator T-R

Vibration control and calculating inverse dynamics of the rigid-flexible two-link manipulator T-R

A monolithic optimal control method for displacement tracking of Cosserat rod with application to reconstruction of C. elegans locomotion

Vibration Suppression of Beam Structures by Multiple Dynamic Vibration Absorbers

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