• Title/Summary/Keyword: viscoelastic deformation

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Dynamic analysis by impact load in viscoelastic sandwich plates with FRP layer utilizing numerical method

  • Bayati, Mohammad Reza;Mazaheri, Hamid;Bidgoli, Mahmood Rabani
    • Steel and Composite Structures
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    • v.43 no.2
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    • pp.229-240
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    • 2022
  • The main objective of this work is presenting a mathematical model for the concrete slab with fiber reinforced polymer (FRP) layer under the impact load. Impacts are assumed to occur normally over the top slab and the interaction between the impactor and the structure is simulated using a new equivalent three-degree-of-freedom (TDOF) spring-mass-damper (SMD) model. The structure is assumed viscoelastic based on Kelvin-Voigt model. Based on the sinusoidal shear deformation theory (SSDT), energy method and Hamilton's principle, the motion equations are derived. Applying DQM, the dynamic deflection and contact force of the structure is calculated numerically so that the effects of mass, velocity and height of impactor, boundary conditions, FRP layer, structural damping and geometrical parameters of structure are shown on the dynamic deflection and contact force of system. Results show that considering structural damping leads to lower dynamic deflection and contact force. In addition, increasing the impact velocity of impactor yields to increases in the maximum contact force and deflection while the contact duration is decreased. The result shows that the contact force and the central deflection of the structure decreases and the contact time decreases with assuming FRP layer.

Out-of-phase and in-phase vibrations and energy absorption of coupled nanoplates on the basis of surface-higher order-viscoelastic-couple stress theories

  • Guangli Fan;Maryam Shokravi;Rasool Javani;Suxa Hou
    • Steel and Composite Structures
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    • v.50 no.4
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    • pp.403-418
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    • 2024
  • In this paper, vibration and energy absorption characteristics of a nanostructure which is composed of two embedded porous annular/circular nanoplates coupled by a viscoelastic substrate are investigated. The modified couple stress theory (MCST) and the Gurtin-Murdoch theory are applied to take into account the size and the surface effects, respectively. Furthermore, the structural damping effect is probed by the Kelvin-Voigt model and the mathematical model of the problem is developed by a new hyperbolic higher order shear deformation theory. The differential quadrature method (DQM) is employed to obtain the out-of-phase and in-phase frequencies of the structure in order to predict the dynamic response of it. The acquired results reveal that the vibration and energy absorption of the system depends on some factors such as porosity, surface stress effects, material length scale parameter, damping and spring constants of the viscoelastic foundation as well as geometrical parameters of annular/circular nanoplates. A bird's-eye view of the findings in the research paper offers a comprehensive understanding of the vibrational behavior and energy absorption capabilities of annular/circular porous nanoplates. The multidisciplinary approach and the inclusion of porosity make this study valuable for the development of innovative materials and applications in the field of nanoscience and engineering.

Deformation Analysis of Injection Molded Articles due to In-mold Residual Stress and Subsequent Cooling after Ejection (사출 성형품의 금형내 잔류음력과 이형후 냉각에 의한 후변형 해석)

  • Yang, Sang-Sik;Gwon, Tae-Heon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.2
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    • pp.340-348
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    • 2002
  • Deformation analysis of injection molded articles whose geometry is considered as the assembly of thin flat plates has been conducted. For the in-mold analysis, thermo-viscoelastic stress calculation of thermo-rheologically simple amorphous polymer and in-mold deformation calculation considering the in-plane mold constraint have been done. Free volume theory has been used to represent the non-equilibrium density state during the fast cooling. At ejection, instantaneous deformation takes place due to the redistribution of in-mold residual stress. During out-of-mold cooling after ejection, thermoelastic model based on the effective temperature has been adopted for the calculation of out-of-mold deformation. In this study, emphasis is also made on the treatment with regard to lateral constraint types during molding process. Two typical mold geometries are used to test the numerical simulation modeling developed in this study.

Study on the Mechanical Properties of the Rice Plants Subjected to Radial Load -Analysis of Relaxation Behavior- (측방향하중(側方向荷重)에 의한 벼줄기의 역학적특성(力學的特性)에 관한 연구(I) -이완거동 분석-)

  • Huh, Y.K.
    • Journal of Biosystems Engineering
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    • v.18 no.4
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    • pp.402-409
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    • 1993
  • During all mechanical processes rice plants are subjected to verious forces such as natural load of wind and mechanical load of agricultural machines. A force is always accompanied by deformation, which must be either sufficiently great for pressing or sufficiently slight in order to avoid damage. The mechanical behavior of the rice plants is determined by three variables : force, deformation and time. And they must be studied using rheological methods to determine their viscoelastic properties. This study is conducted to experimentally determine the mechanical and rheological properties of the rice stalks subjected to radial load. The force relaxation tests are performed under constant deformation, during which the reduction of forces over time is measured. The mechanical models were developed from the abtained data. The results were as follows : 1. The relaxation behavior of a rice stalk in radial compession may be described by a generalized Maxwell model consisting of 3 Maxwell elements in parallel. 2. Relaxatiom intensity always decreased with increased time of relaxation. 3. The rate of deformation has a significant effect on the relaxation behavior. having increasing pattern with an increase in rate of deformation. 4. The relaxation intensity and residual deformation increased with increased initial load. 5. The relaxtion of the intermediate portion of stalk was bigger tham that of the upper and lower portions.

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Measurement of Physical Properties of Agricultural Products (농산물(農産物)의 물리적(物理的) 특성(特性) 측정(測定)에 관(關)한 연구(硏究))

  • Koh, Hak Kyun
    • Journal of Biosystems Engineering
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    • v.13 no.4
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    • pp.20-29
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    • 1988
  • Properties of agricultural products are important for engineering design and analysis with respect to their mechanical harvesting, handling, transporting and processing. Researcher have presented the data of properties for various kinds of agricultural products. These data, however, are obtained from the materials produced in foreign countries, and a very few data could be found in Korea. In this paper, emphasis put on the importance of measuring the properties of agricultural products through an extensive review of literatures, and some experimental results on the viscoelastic and elastic properties of the materials are presented. Viscoelastic characteristics of some agricultural materials, specifically the force-deformation-time relationship of the whole orange and cylindrical samples of cheese under different types of loading were investigated. In elastic test, the response of apple during an impact and the relationships among various parameters such u degree of damage, drop height and absorbed energy were determined.

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Finite Element Vibration Analysis of Multi-layered Damped Sandwich Beam with Complex Shear Modulus (복소 전단탄성계수를 갖는 다층 감쇠보의 유한요소 진동 해석)

  • Bae, Seung-Hoon;Won, Sung-Gyu;Jeong, Weui-Bong;Cho, Jin-Rae;Bae, Soo-Ryong
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.21 no.1
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    • pp.9-17
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    • 2011
  • In this paper, the general equation of motion of damped sandwich beam with multi-viscoelastic material layer was derived based on the equation presented by Mead and Markus. The viscoelastic layer, which has characteristics of complex shear modulus, was assumed to be dominantly under shear deformation. The equation of motion of n-layered damped sandwich beam in bending could be represented by (n+3)th order ordinary differential equation. Finite element model for the n-layered damped sandwich beam was formulated and programmed using higher order shape functions. Several numerical examples were implemented to show the effects of damped material.

A Study on the improvement of damping and optimal design of beam flexure for the passive vibration isolator (수동형 음강성 저주파 제진기의 감쇠 성능 향상과 빔 유연체의 최적 설계에 관한 연구)

  • Lee, Gil-Yong;Chang, Hee-Doh;Park, Young-Ho;Park, In-Hwang;Han, Dong-Chul
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.04a
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    • pp.189-195
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    • 2008
  • The vibration isolator system(VIS) which has very low natural frequency could be designed by applying an axial compressive force to the beam-column flexure(BCF). In this paper a new shape of the BCF is suggested. It has stepwise axially varying properties by viscoelastic damping layer. So it has internal structural damping by damping layer during deformation. First the analytic solution is obtained for the BCF. And its critical load, buckling mode, stiffness and stress distributions are investigated. Also the dynamic properties of the VIS consist of the damping layered BCF are studied. Finally the optimal design procedure of damping layered BCF for the VIS is suggested. The improved performance of suggested VIS is verified by some experiments.

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Study on Transient Flow in Pipeline with Flexible Tube (탄성관을 삽입한 관로에서의 비정상류에 관한 연구)

  • Kim, Young-Joon;Tsukamoto, Hiroshi
    • 유체기계공업학회:학술대회논문집
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    • 2005.12a
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    • pp.825-828
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    • 2005
  • Experimental and numerical study was done to confirm the effect of the flexible tube in pipeline on transient flow oscillation. Experiment was made for a pipeline with and without deformable flexible tube using a single pumping system of main stainless pipe. The wave speeds of main pipe and flexible tube were calculated from the pipe material properties, structures, and boundary conditions. Time dependent pressure fluctuations were calculated for the pipeline using the simple and the Kelvin-Voigt viscoelastic models for the deformation of main pipe and flexible tube. Pressure calculated by the Kelvin-Voigt viscoelastic model showed better agreement with measured one than pressure by the simple model. Experimental and numerical results show that the maximum pressure as well as amplitude of pressure oscillation was decreased by inserting short flexible tube in pipeline. Hence, inserted short flexible tube to pipeline was found to be effective for the suppression of strong pressure oscillation. Moreover, the wave speed in pipe was discussed based on numerical and experimental results.

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Dynamic buckling response of temperature-dependent functionally graded-carbon nanotubes-reinforced sandwich microplates considering structural damping

  • Shokravi, Maryam;Jalili, Nader
    • Smart Structures and Systems
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    • v.20 no.5
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    • pp.583-593
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    • 2017
  • This research deals with the nonlocal temperature-dependent dynamic buckling analysis of embedded sandwich micro plates reinforced by functionally graded carbon nanotubes (FG-CNTs). The material properties of structure are assumed viscoelastic based on Kelvin-Voigt model. The effective material properties of structure are considered based on mixture rule. The elastic medium is simulated by orthotropic visco-Pasternak medium. The motion equations are derived applying Sinusoidal shear deformation theory (SSDT) in which the size effects are considered using Eringen's nonlocal theory. The differential quadrature (DQ) method in conjunction with the Bolotin's methods is applied for calculating resonance frequency and dynamic instability region (DIR) of structure. The effects of different parameters such as volume percent of CNTs, distribution type of CNTs, temperature, nonlocal parameter and structural damping on the dynamic instability of visco-system are shown. The results are compared with other published works in the literature. Results indicate that the CNTs have an important role in dynamic stability of structure and FGX distribution type is the better choice.

Forced vibration analysis of damped beam structures with composite cross-section using Timoshenko beam element

  • Won, S.G.;Bae, S.H.;Jeong, W.B.;Cho, J.R.;Bae, S.R.
    • Structural Engineering and Mechanics
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    • v.43 no.1
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    • pp.15-30
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    • 2012
  • A damped Timoshenko beam element is introduced for the DOF-efficient forced vibration analysis of beam-like structures coated with viscoelastic damping layers. The rotary inertia as well as the shear deformation is considered, and the damping effect of viscoelastic layers is modeled as an imaginary loss factor in the complex shear modulus. A complex composite cross-section of structures is replaced with a homogeneous one by means of the transformed section approach in order to construct an equivalent single-layer finite element model capable of employing the standard $C^{0}$-continuity basis functions. The numerical reliability and the DOF-efficiency are explored through the comparative numerical experiments.