Optimal vibration control of curved beams using distributed parameter models

Liu, Fushou; Jin, Dongping; Wen, Hao

doi:10.1016/j.jsv.2016.08.009

Cited by 17 publications

(5 citation statements)

References 27 publications

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“…Member. Te classical continuum mechanics models such as the elementary rod model and the Euler-Bernoulli beam model are proved to be suitable for analyzing most of static and vibration problems of slender structures [13,30]. However, these elementary models may encounter problems in some special engineering felds, such as micro-and nanostructures [31,32], lattice structures [33], and highfrequency wave propagation analysis [34].…”

Section: Spectral Element Model Of the Uncracked Structuralmentioning

confidence: 99%

Accurate Modeling and Wave Propagation Analysis of Cracked Slender Structural Members by the Spectral Element Method

Liu

Wang

et al. 2023

Structural Control and Health Monitoring

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The analysis of elastic wave propagation in cracked structures is very useful in the crack detection by the ultrasonic guided wave method. This study presents an accurate spectral element modeling method for cracked slender structural members by using refined waveguide models and a more realistic crack model. Firstly, a spatial spectral beam element model is established for uncracked slender structural member based on the Love rod theory, the modified Timoshenko beam theory, and the Saint-Venant’s torsion theory. Then, the complete local additional flexibility matrix for crack in the structural member with rectangular cross section is derived from the theory of elastic fracture mechanics, and a two-node condensed spectral element model considering the stiffness coupling effect caused by the crack is established for cracked slender structural member. The wave response in cracked structures is solved by the numerical inverse Laplace transformation method. A thorough comparison of the wave responses in cracked structural member evaluated by the presented spectral element model and the 3D solid finite element model is given in the numerical example, which verifies the accuracy and high efficiency of the presented method.

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Section: Spectral Element Model Of the Uncracked Structuralmentioning

confidence: 99%

Accurate Modeling and Wave Propagation Analysis of Cracked Slender Structural Members by the Spectral Element Method

Liu

Wang

et al. 2023

Structural Control and Health Monitoring

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“…Since the state variables in Equation ( 8) are the velocity and strain of the manipulator, this model is much appropriate for the controller design based on velocity feedback or strain feedback such as the studies in Refs. [29][30][31].…”

Section: Abstract State-space Model Of the Slfmmentioning

confidence: 99%

A High-Efficient Finite Difference Method for Flexible Manipulator with Boundary Feedback Control

Liu

Jin

2021

Space Sci Technol

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The paper presents a high-efficient finite difference method for solving the PDE model of the single-link flexible manipulator system with boundary feedback control. Firstly, an abstract state-space model of the manipulator is derived from the original PDE model and the associated boundary conditions of the manipulator by using the velocity and bending curvature of the flexible link as the state variables. Then, the second-order implicit Crank-Nicolson scheme is adopted to discretize the state-space equation, and the second-order one-sided approximation is used to discretize the boundary conditions with excitations and feedback control. At last, the state-space equation combined with the boundary conditions of the flexible manipulator is transformed to a system of linear algebraic equations, from which the response of the flexible manipulator can be easily solved. Numerical simulations are carried out to simulate the manipulator under various excitations and boundary feedback control. The results are compared with ANSYS to demonstrate the accuracy and high efficiency of the presented method.

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“…The investigation of the vibration suppression of curved beam type of structures has also been presented recently. Liu et al. (2016) applied the optimal control methodologies to the curved beam model, and comparing the result with those selected the constant velocity feedback gain.…”

Section: Noncircular Archesmentioning

confidence: 99%

Free in-plane vibration of curved beam structures: A tutorial and the state of the art

Yang

Esmailzadeh

2017

Journal of Vibration and Control

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The study of free in-plane vibration of curved beams, using different beam theories, is more challenging than that of straight beams, since the structural deformations in curved beams depend not only on the rotation and radial displacements, but also on the coupled tangential displacement caused by the curvature of structures. A critical review of the publications on the free in-plane vibration of curved beams to demonstrate the state of the art has been presented. The governing differential equations of motion for the curved beams, based on different hypotheses (including and excluding the axial extensity, rotary inertia and the shear deformation), were discussed and different approaches to solve the developed equations of motion have been identified. Finally, a systematic comparison of the dynamic properties of curved beams evaluated with various forms of curvatures based on different hypotheses were presented.

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Optimal vibration control of curved beams using distributed parameter models

Cited by 17 publications

References 27 publications

Accurate Modeling and Wave Propagation Analysis of Cracked Slender Structural Members by the Spectral Element Method

Accurate Modeling and Wave Propagation Analysis of Cracked Slender Structural Members by the Spectral Element Method

A High-Efficient Finite Difference Method for Flexible Manipulator with Boundary Feedback Control

Free in-plane vibration of curved beam structures: A tutorial and the state of the art

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