Effects of Span Length and Additional Structure on Flow-Induced Transverse Vibration Characteristic of a Cantilevered Rectangular Prism

Free-vibration tests of a cantilevered rectangular prism with a side ratio of less than D/H = 0.5 (D, depth of the rectangular prism in the flow direction; H, height of a rectangular prism) that experiences low-speed galloping at a lower reduced velocity than the resonant reduced velocity were conducted in a water tunnel. We also carried out a power generation experiment using an iron-gallium alloy, which is a magnetostrictive material, to investigate the possibility of harvesting energy from a flow-induced transverse vibration. The effects of the side ratio of the rectangular prism and the configuration of a fin that was fitted on the back of a rectangular prism to increase the flexural rigidity on the response amplitude were investigated. The vibration of a rectangular prism with D/H = 0.1 occurred at a lower reduced velocity than that of the other rectangular prisms. This prism has the largest increment rate of the non-dimensional response amplitude ηrms for reduced velocity Vr, and the vibration has an uniform amplitude for each reduced velocity. The reduced velocity at the 20% non-dimensional response amplitude of a rectangular prism Vr0.2 decreases linearly with decreasing side ratio D/H. The response amplitude of the rectangular prism with D/H = 0.2 is only slightly dampened for all values of the reduced mass-damping parameter Cn. The values of Vr0.2 of the rectangular prism with a fin increased as the depth ratio of the fin increased. The response amplitude of the rectangular prism with/without a fin was found to be related to the second moment of area of the prism. The energy harvester using magnetostrictive material and a rectangular prism with D/H = 0.2 generates a maximum electric power of 8.8 mW.

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Research on transverse vibration characteristic of viscoelastic warp of high-speed loom

Information Technology and Industrial Engineering ◽

10.2495/itie131622 ◽

2013 ◽

Author(s):

Fei Chen ◽

Yisheng Liu ◽

Yibing Chen

Keyword(s):

Transverse Vibration ◽

High Speed ◽

Vibration Characteristic

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Experimental Investigation on Transverse Vibration Characteristic of Laminate Square Plates by ESPI

Advances in Computer, Information, and Systems Sciences, and Engineering ◽

10.1007/1-4020-5261-8_21 ◽

2007 ◽

pp. 124-128

Author(s):

Soóa Rusnàkovà ◽

Juraj Slabeycius ◽

Pavel Koštial ◽

Vladimìr Rusnàk

Keyword(s):

Experimental Investigation ◽

Transverse Vibration ◽

Vibration Characteristic

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Vibration characteristics of yarn in the tufted carpet machine

Textile Research Journal ◽

10.1177/0040517518817013 ◽

2018 ◽

Vol 89 (17) ◽

pp. 3567-3577

Author(s):

Huang Shuang ◽

Xu Yang

Keyword(s):

Differential Equation ◽

Transverse Vibration ◽

Vibration Characteristics ◽

Second Law ◽

Vibration Characteristic ◽

Vibration Equation ◽

Runge Kutta Method ◽

Reasonable Range ◽

Galerkin Truncation

To control the yarn vibration in a reasonable range and to improve the quality of tufted carpet, it is very important to understand the vibration characteristics of yarn correctly. The transverse vibration equation of yarn is established using Newton’s second law in different paths, and then the yarn vibration characteristic curves in different regions are obtained. Firstly, the yarn path is divided and the optimal constitutive model of tufted carpet yarn is determined. Secondly, the transverse vibration is built by analyzing the force of yarn means. Then, the partial differential equation of yarn vibration is simplified as an ordinary differential equation by the Galerkin truncation method. The equation is solved numerically by using the Runge–Kutta method, obtaining the yarn amplitude in different regions. The vibration characteristics of the yarns after the jacquard parts are emphatically analyzed, and the effects of the speed, tension and damping coefficient on the vibration characteristics of yarns are also discussed. Finally, the results are verified by experiments.

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Coupled Thermoelastic Vibration of the Axially Moving Sandwich Beam

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.312.301 ◽

2013 ◽

Vol 312 ◽

pp. 301-306

Author(s):

Jin Mei Wang ◽

Ying Hui Li ◽

E Chuan Yang

Keyword(s):

Transverse Vibration ◽

Sandwich Beam ◽

Material Model ◽

Axially Moving Beam ◽

Vibration Characteristic ◽

Vibration Equation ◽

Moving Beam ◽

Thermoelastic Vibration ◽

Axially Moving ◽

Axial Speed

The transverse vibration characteristic of the viscoelastic sandwich beam with axial speed is studied under the coupled temperature field and displacement field. Based on the theory of Euler - Bernouli beam and the constitutive relation of Kelvin viscoelastic material model, the transverse vibration equation of the axially moving beam is established ; considering the interaction of the material deformation and the heat conduction, the coupled governing equation of the beam is obtained. and the coupled thermoelastic dynamics system are obtained by Galerkin method. The related thermal parameters on the vibration frequency are analyzed by using numerical method.

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ANALYSIS OF THE GENERAL EQUATIONS OF THE TRANSVERSE VIBRATION OF A PIECEWISE UNIFORM VISCOELASTIC PLATE

Computational nanotechnology ◽

10.33693/2313-223x-2020-7-3-52-56 ◽

2020 ◽

Vol 7 (3) ◽

pp. 52-56

Author(s):

MMATMATISA JALILOV ◽

◽

RUSTAM RAKHIMOV ◽

Keyword(s):

Cross Section ◽

Transverse Vibration ◽

Three Dimensional ◽

Viscoelastic Plate ◽

Constant Thickness ◽

Regional Problem ◽

Rigid Contact ◽

Under Construction ◽

Derivatives Of ◽

Theoretical Results

This article discusses the analysis of the general equations of the transverse vibration of a piecewise homogeneous viscoelastic plate obtained in the “Oscillation of inlayer plates of constant thickness” [1]. In the present work on the basis of a mathematical method, the approached theory of fluctuation of the two-layer plates, based on plate consideration as three dimensional body, on exact statement of a three dimensional mathematical regional problem of fluctuation is stood at the external efforts causing cross-section fluctuations. The general equations of fluctuations of piecewise homogeneous viscoelastic plates of the constant thickness, described in work [1], are difficult on structure and contain derivatives of any order on coordinates x, y and time t and consequently are not suitable for the decision of applied problems and carrying out of engineering calculations. For the decision of applied problems instead of the general equations it is expedient to use confidants who include this or that final order on derivatives. The classical equations of cross-section fluctuation of a plate contain derivatives not above 4th order, and for piecewise homogeneous or two-layer plates the elementary approached equation of fluctuation is the equation of the sixth order. On the basis of the analytical decision of a problem the general and approached decisions of a problem are under construction, are deduced the equation of fluctuation of piecewise homogeneous two-layer plates taking into account rigid contact on border between layers, and also taking into account mechanical and rheological properties of a material of a plate. The received theoretical results for the decision of dynamic problems of cross-section fluctuation of piecewise homogeneous two-layer plates of a constant thickness taking into account viscous properties of their material allow to count more precisely the is intense-deformed status of plates at non-stationary external loadings.

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Lightweight Concrete Reduces Weight and Increases Span Length of Pretensioned Concrete Bridge Girders

PCI Journal ◽

10.15554/pcij.01012002.68.75 ◽

2002 ◽

Vol 47 (1) ◽

pp. 68-75 ◽

Cited By ~ 7

Author(s):

Karl F. Meyer ◽

Lawrence F. Kahn

Keyword(s):

Lightweight Concrete ◽

Bridge Girders ◽

Concrete Bridge ◽

Span Length ◽

Pretensioned Concrete

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