• Title/Summary/Keyword: Dynamic shear behavior

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Analysis of functionally graded beam using a new first-order shear deformation theory

  • Hadji, Lazreg;Daouadji, T. Hassaine;Meziane, M. Ait Amar;Tlidji, Y.;Bedia, E.A. Adda
    • Structural Engineering and Mechanics
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    • v.57 no.2
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    • pp.315-325
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    • 2016
  • A new first-order shear deformation theory is developed for dynamic behavior of functionally graded beams. The equations governing the axial and transverse deformations of functionally graded plates are derived based on the present first-order shear deformation plate theory. The governing equations and boundary conditions of functionally graded beams have the simple forms as those of isotropic plates. The influences of the volume fraction index and thickness-to-length ratio on the fundamental frequencies are discussed. The accuracy of the present solutions is verified by comparing the obtained results with the existing solutions.

A unified formulation for modeling of inhomogeneous nonlocal beams

  • Ebrahimi, Farzad;Barati, Mohammad Reza
    • Structural Engineering and Mechanics
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    • v.66 no.3
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    • pp.369-377
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    • 2018
  • In this article, buckling and free vibration of functionally graded (FG) nanobeams resting on elastic foundation are investigated by developing various higher order beam theories which capture shear deformation influences through the thickness of the beam without the need for shear correction factors. The elastic foundation is modeled as linear Winkler springs as well as Pasternak shear layer. The material properties of FG nanobeam are supposed to change gradually along the thickness through the Mori-Tanaka model. The small scale effect is taken into consideration based on nonlocal elasticity theory of Eringen. From Hamilton's principle, the nonlocal governing equations of motion are derived and then solved applying analytical solution. To verify the validity of the developed theories, the results of the present work are compared with those available in literature. The effects of shear deformation, elastic foundation, gradient index, nonlocal parameter and slenderness ratio on the buckling and free vibration behavior of FG nanobeams are studied.

Three dimensional dynamic response of functionally graded nanoplates under a moving load

  • Hosseini-Hashemi, Shahrokh;Khaniki, Hossein Bakhshi
    • Structural Engineering and Mechanics
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    • v.66 no.2
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    • pp.249-262
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    • 2018
  • In this paper, reaction of functionally graded (FG) thick nanoplates resting on a viscoelastic foundation to a moving nanoparticle/load is investigated. Nanoplate is assumed to be thick by using second order shear deformation theory and small-scale effects are taken into account in the framework of Eringen's nonlocal theory. Material properties are varied through the thickness using FG models by having power-law, sigmoid and exponential functions for material changes. FG nanoplate is assumed to be on a viscoelastic medium which is modeled using Kelvin-Voight viscoelastic model. Galerkin, state space and fourth-order Runge-Kutta methods are employed to solve the governing equations. A comprehensive parametric study is presetned to show the influence of different parameters on mechanical behavior of the system. It is shown that material variation in conjunction with nonlocal term have a significant effect on the dynamic deformation of nanoplate which could be used in comprehending and designing more efficient nanostructures. Moreover, it is shown that having a viscoelastic medium could play an important role in decreasing these dynamic deformations. With respect to the fresh studies on moving atoms, molecules, cells, nanocars, nanotrims and point loads on different nanosctructures using scanning tunneling microscopes (STM) and atomic force microscopes (AFM), this study could be a step forward in understanding, predicting and controlling such kind of behaviors by showing the influence of the moving path, velocity etc. on dynamic reaction of the plate.

Viscosity and Dynamic Rheological Properties of Job's-tears as a Function of Moisture Content (수분함량에 따른 율무가루의 점도변화 및 동적물성 특성에 관한 연구)

  • Yoon, Won-Byung;Kim, Byung-Yong;Shin, Dong-Hoon
    • Korean Journal of Food Science and Technology
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    • v.29 no.5
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    • pp.932-938
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    • 1997
  • Changes in viscosity and dynamic theological properties of Job's-tears were measured by Bohlin dynamic tester as a function of moisture, and measurement was performed within a linear viscoelastic range. The result of the shear stress vs shear rate of Job's-tears at different moisture contents $(50{\sim}75%)$ was applied to mathematical models and Herschel-Bulkley model showed the highest correlation coefficient. Lower moisture content (55%) produced higher yield stress and consistency index, but lower flow behavior index, whereas higher moisture content showed reverse effects. Job's-tears with $50{\sim}70%$ moisture contents showed a higher storage modulus (G') than loss modulus (G') at all frequencies, showing a higher concentrated polymer characteristics. However, higher moisture content (>75%) showed crossover point between G' and G', and frequency dependency. As the moisture content was increased, the amount of viscoelastic properties such as G', G', complex viscosity decreased during heating, and initial temperature and miximum value of viscoelastic properties shifted to higher temperatures, representing the moisture-dependence of Job's-tears upon theological properties.

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Development of the educational management model for dynamic instability analysis in nanocomposite sandwich beam

  • Wenxi Tang;Chunhui Zhou;Maryam Shokravi;X. Kelaxich
    • Advances in nano research
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    • v.17 no.1
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    • pp.9-18
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    • 2024
  • This paper presents the development of an educational management model for analyzing the dynamic instability of nanocomposite sandwich beams. The model aims to provide a comprehensive framework for understanding the behavior of sandwich micro beams with foam cores, featuring top and bottom layers made of smart and porous functionally graded materials (FGM) nanocomposites. The bottom layer is influenced by an external electric field, and the entire beam is supported by a visco-Pasternak foundation, accounting for spring, shear, and damping constants. Using the Kelvin-Voigt theory to model structural damping and incorporating size effects based on strain gradient theory, the model employs the parabolic shear deformation beam theory (PSDBT) to derive motion equations through Hamilton's principle. The differential quadrature method (DQM) is applied to solve these equations, accurately identifying the improvement in student understanding (ISU) of the beams. The impact of various parameters, including FGM properties, external voltage, geometric constants, and structural damping, on the DIR is thoroughly examined. The educational model is validated by comparing its outcomes with existing studies, highlighting the increase in ISU with the application of negative external voltage to the smart layer. This model serves as a valuable educational tool for engineering students and researchers studying the dynamic stability of advanced nanocomposite structures.

Numerical Simulation of Failure Mechanism of Space Frame Structure by Nonlinear Dynamic Analysis (비선형 동적해석을 통한 입체라멘 교각의 파괴 메카니즘 모사)

  • 김익현
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 2000.10a
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    • pp.348-355
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    • 2000
  • The characteristics on non linear behavior and the failure mechanism of RC space frame structure serving railway under seismic action have been investigated by numerical analysis in time domain. The structure concerned is modeled in 3 dimensional extent and RC frame elements with fibers are employed. Fibers are characterized as RC one and PL one to distinguish different energy release after cracking. Due to deviation of mass center and stiffness center of entire structure the complex behavior under seismic action is shown. The excessive shear force is concentrated on the pier beside flexible one relatively, which leads to failure of bridge concerned.

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Transmitted Force Estimation of Prototype HIF System Considering Flexibility of Mount System (지지부 동특성을 고려한 HIF 시스템의 충격력 예측)

  • Kim Hyo Jun;Choe Eui Jung
    • Journal of the Korean Society for Precision Engineering
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    • v.22 no.4
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    • pp.107-112
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    • 2005
  • In this study, the dynamic analysis is performed fur predicting the transmitted force to flexible human body induced by prototype HIF(High Impulsive force) device operation, which is partially assembled by major parts. A beam-mass model and a shear-structure model are used for the flexible mount structure and their dynamic behavior are investigated by experimental results under rigid/flexible mount conditions using a general purpose device. From the test result of prototype device in rigid mount condition, the transmitted force to human body which can not be measured directly, is estimated based on the proved mount structure model.

Durability Estimation for ER Fluids of Methyl Cellulose Component in Smart Hydraulic Systems (지능형 유압시스템을 위한 메틸 셀루로이즈 성분 ER 유체의 내구성 평가)

  • 김옥삼;박우철
    • Journal of Advanced Marine Engineering and Technology
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    • v.25 no.6
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    • pp.1211-1219
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    • 2001
  • The electro-rheological(ER) fluids for smart hydraulic system are a class of colloidal dispersion which exhibit large reversible Changes in their rheological behavior when they are subjected to external electrical fields. This paper presents experimental results on material properties of an ER fluids subjected to electrical fatigues. As a first step, ER fluid is made of methyl cellulose(MC) choosing 25% of particle weight-concentration. Following the construction of test mechanism for durability estimation, the dynamic yield shear stress and the current density for the ER fluids of MC component are experimentally distilled as a function of electric field. In addition, the surface roughness of the employed electrode are evaluated as a function of the number of the electric-field cycles.

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A Study on Laboratory Performance Characteristics of Modified Asphalt Cements and Mixtures (다양한 개질 아스팔트 시멘트와 혼합물의 실험적 공용 특성 평가에 관한 연구)

  • Kim, Nak-seok;Im, Jung-Soon;Park, Hyun-SIk;Lee, Jong-Man
    • Journal of the Society of Disaster Information
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    • v.3 no.1
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    • pp.21-35
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    • 2007
  • The principal objective of this research is to evaluate the laboratory mechanical characteristics of color asphalt binders and mixtures. The dynamic shear rheometer (DSR) tests were performed to analyze the viscous and elastic behavior of asphalt binders. Various tests were also conducted to investigate the laboratory performance characteristics of color asphalt mixtures. The test results revealed that the values of $G^*$ and ${\delta}$ of modified color binders were higher than those of the conventional binders at low temperatures. These results are expected to increase the thermal cracking resistance of asphalt mixtures at low temperatures. It should be noted that the color asphalt mixtures with modified asphalt binder can be widely used as a common pavement material with a proper mix design.

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Static and Dynamic Analysis of Plate Structures using an Enhanced Finite Element (개선된 유한요소를 이8한 평판구조물의 정적 및 동적해석)

  • 김선훈;한인선;유승운;최창근
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.10a
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    • pp.169-176
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    • 2002
  • This paper is concerned with development of an enhanced quadratic Mindlin plate bending element. The behavior of the proposed plate element is further improved by the coupled use of non-conforming displacement modes, the selectively reduced integration scheme, and the assumed shear strain fields. The improvement may be attributable to the fact that the merits of these improvement techniques are merged in the formation of the new element in a complementary manner. The proposed quadratic finite element passes the patch tests, does not show spurious mechanism, and does not produce shear locking phenomena even with distorted meshes. It is shown that the element produces reliable solutions through numerical tests for standard benchmark problems. It is also noted that the element is applicable to transient dynamic analysis of Mindlin plates.

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