Vibration control of the finite L-shaped beam structures based on the active and reactive power flow

Liu, Chunchuan; Li, Fengming; Tang, Liang; Huang, Wenhu

doi:10.1007/s11433-010-4198-4

Cited by 8 publications

(3 citation statements)

References 32 publications

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“…Moreover, (41) shows that the vibration power flow is also related to 1 which denotes the initial conditions. In order to present a further study about this, Figure 11 presents the vibration power flow of the FRMEJ with different initial conditions.…”

Section: Shock and Vibrationmentioning

confidence: 99%

Dynamic Model and Vibration Power Flow of a Rigid-Flexible Coupling and Harmonic-Disturbance Exciting System for Flexible Robotic Manipulator with Elastic Joints

Liu

Wang

et al. 2015

Shock and Vibration

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This paper investigates the dynamic of a flexible robotic manipulator (FRM) which consists of rigid driving base, flexible links, and flexible joints. With considering the motion fluctuations caused by the coupling effect, such as the motor parameters and mechanism inertias, as harmonic disturbances, the system investigated in this paper remains a parametrically excited system. An elastic restraint model of the FRM with elastic joints (FRMEJ) is proposed, which considers the elastic properties of the connecting joints between the flexible arm and the driving base, as well as the harmonic disturbances aroused by the electromechanical coupling effect. As a consequence, the FRMEJ accordingly remains a flexible multibody system which conveys the effects of rigid-flexible couple and electromechanical couple. The Lagrangian function and Hamilton’s principle are used to establish the dynamic model of the FRMEJ. Based on the dynamic model proposed, the vibration power flow is introduced to show the vibration energy distribution. Numerical simulations are conducted to investigate the effect of the joint elasticities and the disturbance excitations, and the influences of the structure parameters and motion parameters on the vibration power flow are studied. The results obtained in this paper contribute to the structure design, motion optimization, and vibration control of FRMs.

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Section: Shock and Vibrationmentioning

confidence: 99%

Dynamic Model and Vibration Power Flow of a Rigid-Flexible Coupling and Harmonic-Disturbance Exciting System for Flexible Robotic Manipulator with Elastic Joints

Liu

Wang

et al. 2015

Shock and Vibration

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show abstract

“…And many scholars have utilized this method to study the vibration energy transmission phenomena of various vibrating structures. [25][26][27][28] Therefore, it is considered, from a more essential point of view, whether the vibration of the structure can be attenuated by introducing a SRE to offset the VEF transmitted in the structure, which takes all of degrees of freedoms of the forces and velocities into consideration in this approach named vibrational energy flow cancelling (VEFC).…”

Section: Introductionmentioning

confidence: 99%

Vibrational energy flow cancelling by loading a reverse excitation: Visualization and analysis

Zhao

et al. 2021

Journal of Low Frequency Noise, Vibration and Active Control

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Vibration control is a permanent and significant issue in all forms of structural dynamic analysis with the consistent objective being to minimize vibration levels. Considering that the propagation of vibration waves is essentially the transmission of vibrational energy flow (VEF), the fundamental requirement, therefore, is to minimize the VEF transmitted from sources to sinks and then to control and block the flow of vibration energy. Structural intensity (SI) method, combining forces with velocities to assess the magnitude and directions of VEF, is alternative to classical dynamic assessment methods offering insight into the transmission of VEF and studying additional phenomena which cannot be obtained by conventional dynamic analysis. In the field of noise, active noise control has been widely used in vehicles and headphones, which has achieved remarkable results by introducing a cancelling ‘anti-noise’ wave through an appropriate array of secondary sources. Analogically, it is considered whether the vibration of the structure can be attenuated by introducing a secondary reverse excitation (SRE) to offset the VEF transmitted in the structure. Therefore, this article combines the SI method and SRE to carry out related research on this issue. The rectangular plate with the circular hole subjected to the transient sinusoidal force, being widely used and found in various engineering branches, is taken as the research object. The developed simulation system consisting of the finite element tool and the in-house program is used to assess and visualize the instantaneous SI fields. The effects of the SRE acting on this structure on the transmission behaviours of VEF and the vibration suppression have been investigated in detail. Moreover, the transmission, conversion and balance relationships of the VEF have been derived from the general equation of motion and analysed as well. This study sheds new light on the vibration attenuation by introducing the secondary source from the perspective of VEF.

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“…Vibration behaviors of folded plates are analyzed in literature [1][2][3][4][5][6][7][8][9]. Vibration characteristics of and power flow transmission through the L-shaped plate are studied in [10][11][12][13][14][15][16][17][18][19][20]. Vibration behaviors of box-type structures are investigated by a few researchers.…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of plate/shell coupled structures by the method of reverberation-ray matrix

Tang¹,

Yao²,

Wu³

2016

J. vibroeng.

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This paper is concerned with free vibration analysis of plate/shell coupled structures with two opposite edges simply supported by the method of reverberation-ray matrix. The equations of motion of the flat plate and the open circular cylindrical shell, respectively based on the classical thin plate theory and the Flügge thin shell theory, are introduced. Analytical solutions of the combination of a traveling wave form along the circumferential direction and a standing wave form along the axial direction are obtained. The method of reverberation-ray matrix is applied to derive the equation of the natural frequencies for the plate/shell coupled structures. The semi-analytical natural frequencies are obtained with the employment of the golden section search algorithm. The semi-analytical calculation results of three typical plate/shell coupled structures are presented and the results are compared with those obtained by the finite element method. The comparison shows that the calculation results obtained in this paper are of high accuracy and that the formulation presented in this manuscript are validated for free vibration analysis of plate/shell coupled structures.

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Vibration control of the finite L-shaped beam structures based on the active and reactive power flow

Cited by 8 publications

References 32 publications

Dynamic Model and Vibration Power Flow of a Rigid-Flexible Coupling and Harmonic-Disturbance Exciting System for Flexible Robotic Manipulator with Elastic Joints

Dynamic Model and Vibration Power Flow of a Rigid-Flexible Coupling and Harmonic-Disturbance Exciting System for Flexible Robotic Manipulator with Elastic Joints

Vibrational energy flow cancelling by loading a reverse excitation: Visualization and analysis

Free vibration analysis of plate/shell coupled structures by the method of reverberation-ray matrix

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