• Title/Summary/Keyword: Dynamic Elasticity

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On vibration properties of functionally graded nano-plate using a new nonlocal refined four variable model

  • Belkorissat, Ismahene;Houari, Mohammed Sid Ahmed;Tounsi, Abdelouahed;Bedia, E.A. Adda;Mahmoud, S.R.
    • Steel and Composite Structures
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    • v.18 no.4
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    • pp.1063-1081
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    • 2015
  • In this paper, a new nonlocal hyperbolic refined plate model is presented for free vibration properties of functionally graded (FG) plates. This nonlocal nano-plate model incorporates the length scale parameter which can capture the small scale effect. The displacement field of the present theory is chosen based on a hyperbolic variation in the in-plane displacements through the thickness of the nano-plate. By dividing the transverse displacement into the bending and shear parts, the number of unknowns and equations of motion of the present theory is reduced, significantly facilitating structural analysis. The material properties are assumed to vary only in the thickness direction and the effective properties for the FG nano-plate are computed using Mori-Tanaka homogenization scheme. The governing equations of motion are derived based on the nonlocal differential constitutive relations of Eringen in conjunction with the refined four variable plate theory via Hamilton's principle. Analytical solution for the simply supported FG nano-plates is obtained to verify the theory by comparing its results with other available solutions in the open literature. The effects of nonlocal parameter, the plate thickness, the plate aspect ratio, and various material compositions on the dynamic response of the FG nano-plate are discussed.

A nonlocal quasi-3D theory for bending and free flexural vibration behaviors of functionally graded nanobeams

  • Bouafia, Khadra;Kaci, Abdelhakim;Houari, Mohammed Sid Ahmed;Benzair, Abdelnour;Tounsi, Abdelouahed
    • Smart Structures and Systems
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    • v.19 no.2
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    • pp.115-126
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    • 2017
  • In this paper, size dependent bending and free flexural vibration behaviors of functionally graded (FG) nanobeams are investigated using a nonlocal quasi-3D theory in which both shear deformation and thickness stretching effects are introduced. The nonlocal elastic behavior is described by the differential constitutive model of Eringen, which enables the present model to become effective in the analysis and design of nanostructures. The present theory incorporates the length scale parameter (nonlocal parameter) which can capture the small scale effect, and furthermore accounts for both shear deformation and thickness stretching effects by virtue of a hyperbolic variation of all displacements through the thickness without using shear correction factor. The material properties of FG nanobeams are assumed to vary through the thickness according to a power law. The neutral surface position for such FG nanobeams is determined and the present theory based on exact neutral surface position is employed here. The governing equations are derived using the principal of minimum total potential energy. The effects of nonlocal parameter, aspect ratio and various material compositions on the static and dynamic responses of the FG nanobeam are discussed in detail. A detailed numerical study is carried out to examine the effect of material gradient index, the nonlocal parameter, the beam aspect ratio on the global response of the FG nanobeam. These findings are important in mechanical design considerations of devices that use carbon nanotubes.

A novel higher-order shear deformation theory for bending and free vibration analysis of isotropic and multilayered plates and shells

  • Zine, Abdallah;Tounsi, Abdelouahed;Draiche, Kada;Sekkal, Mohamed;Mahmoud, S.R.
    • Steel and Composite Structures
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    • v.26 no.2
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    • pp.125-137
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    • 2018
  • In this work, the bending and free vibration analysis of multilayered plates and shells is presented by utilizing a new higher order shear deformation theory (HSDT). The proposed involves only four unknowns, which is even less than the first shear deformation theory (FSDT) and without requiring the shear correction coefficient. Unlike the conventional HSDTs, the present one presents a novel displacement field which incorporates undetermined integral variables. The equations of motion are derived by using the Hamilton's principle. These equations are then solved via Navier-type, closed form solutions. Bending and vibration results are found for cylindrical and spherical shells and plates for simply supported boundary conditions. Bending and vibration problems are treated as individual cases. Panels are subjected to sinusoidal, distributed and point loads. Results are presented for thick to thin as well as shallow and deep shells. The computed results are compared with the exact 3D elasticity theory and with several other conventional HSDTs. The proposed HSDT is found to be precise compared to other several existing ones for investigating the static and dynamic response of isotropic and multilayered composite shell and plate structures.

Properties of Normal-Strength Mortar Containing Coarsely-Crushed Bottom Ash Considering Standard Particle Size Distribution of Fine Aggregate (잔골재 표준입도를 고려하여 조파쇄 바텀애시를 혼입한 일반강도 모르타르의 성능)

  • Kim, Hyeong-Ki
    • Journal of the Korea Concrete Institute
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    • v.27 no.5
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    • pp.531-539
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    • 2015
  • Properties of normal-strength mortar containing coarsely-crushed coal bottom ash considering standard particle size distribution of fine aggregate were investigated. Mortar containing raw bottom ash was applied as a reference. By crushing the bottom ash with a particle size larger than fine binder but smaller than fine aggregates, i.e., coarse-crushing, water absorption and specific gravity of the particles could be controlled as similar levels to those of natural fine aggregates. Workability and strength of the mortar were not changed and even increased when the coarsely-crushed bottom ash was added considering standard particle size distribution in Standard Specification for Concrete, while those were decreased when raw bottom ash was added without any treatment. When a replacement ratio of coarsely-crushed bottom ash was less than 30 vol.%, there were no significant decrease in dynamic modulus of elasticity and dry shrinkage of the mortar.

Durability Characteristics of High Performance Shotcrete for Permanent Support of Large Size Underground Space (대형 지하공간의 영구지보재로서 고성능 숏크리트의 내구 특성)

  • Won, Jong-Pil;Kim, Hwang-Hee;Jang, Chang-Il;Lee, Sang-Woo
    • Journal of the Korea Concrete Institute
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    • v.19 no.6
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    • pp.701-706
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    • 2007
  • This study evaluated the durability of high-performance shotcrete mixed in the proper proportions using alkali-free and cement mineral accelerators as a permanent support that maintains its strength for the long term. Durability tests were performed the chloride permeability, repeated freezing and thawing, accelerated carbonation, and the effects of salt environments. Test results showed that all the shotcrete mixes included silica fume had low permeability. In addition, after 300 freeze/thaw cycles, the shotcrete mix had excellent freeze/thaw resistance more than the 85% relative dynamic modulus of elasticity. The accelerated carbonation test results were no effect of accelerator type but, the depth of carbonation was greater in the shotcrete mix containing silica fume. No damage was seen in a salt environments. Therefore, the high performance shotcrete mix proportions used in this study showed excellent durability.

Study on the Physical and Rheological Properties of Nylon66/MWCNT Composites (나일론66/MWCNT 복합체 물성 및 유변학적 특성 연구)

  • Kim, Do Eui;Kim, Youn Cheol
    • Applied Chemistry for Engineering
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    • v.24 no.2
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    • pp.214-218
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    • 2013
  • Nylon66/multi-walled carbon nano tube (MWCNT) composites were fabricated by twin screw extruder. The contents of MWCNT were 1, 3, 5, and 7 wt%. Thermal properties, dispersion, rheological and impact properties were measured by DSC, TGA, X-ray diffraction (XRD), SEM, Dynamic rheometer, and Izod impact tester. The effect of MWCNT on the non-isothermal crystallization of Nylon66 was confirmed by DSC. The complex viscosity at low frequency and the shear thinning tendency of the composites increased with MWCNT content. An increase in the elasticity was confirmed from the decrease in the slop of G'-G" plot. Izod impact strengths of the composites were analyzed as a measure of mechanical properties, which indicated that the composites exhibit a 60% enhancement for the impact strength when 3 wt% MWCNT was added. The dispersion of MWCNT within Nylon66/MWCNT composites was also checked by SEM.

The Effects of Annealing Temperature on The Physical Properties and Fine Structure of Poly(trimethylene terephthalate)(PTT) Fibers (열처리 온도가 Poly(trimethylene terephthalate)(PTT) 섬유의 역학적 성질과 미세구조에 미치는 효과)

  • Jeong, Kyung Hui;Lee, Eon Pil;Lee, Jae Ho
    • Fashion & Textile Research Journal
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    • v.15 no.6
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    • pp.985-992
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    • 2013
  • Polytrimethylene terephthalate(PTT) offers several advantageous properties such as good tensile strength, uniformity, stiffness, toughness, UV stability, resilience, stain resistance, outstanding elastic recovery, and dyeability. The effects of annealing temperature on physical properties and the structure of PTT filaments and yarn were investigated by measuring wide-angle X-ray diffraction (WAXD), density, optical birefringence, dynamic visco elasticity, and tensile testing. The intensity of maximum tan ${\delta}$ decreased and the temperature of maximum tan ${\delta}$ shifted to a higher temperature as the annealing temperature of filaments increased; however, it shifted to a lower temperature when the annealing temperature exceeded $130^{\circ}C$. In addition, crystallinity, density and D-spacing of (010) crystal face increased as the annealing temperature increased. Optical birefringence and specific stress were almost constant up to $100^{\circ}C$ and then decreased above $130^{\circ}C$. The shrinkage of PTT filament is 0 in boiling water when annealed above $130^{\circ}C$; consequently, the use of annealed fiber above $130^{\circ}C$ can remove thermal instability when dyeing PTT fiber. In the case of yarns, the thermal stability and physical properties of yarns showed the best effect when the ply number is less than 5, twist number is less than 400tpm, and the annealing time is 20minutes.

Effects of the Water Reducing Agent on the Concrete (減水劑가 콘크리트에 미치는 影響)

  • Kim, Jong-Cheon;Doh, Duk-Hyun
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.24 no.2
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    • pp.67-75
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    • 1982
  • A study on the effect of water reducing agent on the various characteristics of concrete has been conducted. The experimental results of the study are summarized as follows. 1. Slump test for the concrete added water reducing setretarding agent in proper quantity have been conducted. According to the test results, the decreasing rate of slump value become bigger than plain concrete with increase of the unit weight of cement and elapse of time 2. In case the proper quantity content of maximum compressive strength in Fig. 5 of water reducing set retarding agent is added, unit weight of water is decreased about 15% or so as compared with plain concrete. with the increase of water reducing set accelerating agent content unit weight of water is decreased much more, And other hand, amount of air entraining shows the increasing tendency with the increase of water reducing agent content. 3. The adding rate of water reducing agent which produce maximum strength shows that WR-CH and WR-SA which is water reducing set-starding agent is 0.2% and WR-CO is 0.5% and that WS-PO which is water reducing set accelerating agent is 0.5 4. compressive strength jof the concrete made of sulfate resistant cement shows less than the strength of normal portland cement at initial strength but the strength of both cement shows almost same at curing age of 28 days. 5. when proper quantity of water reducing set retarding agent is used, boned strength is increased about 15% at curing age of 28days. 6. According to the result of durability test, dynamic young's mudulus of elasticity at plain concrete is decreased about 50% as compared with initial step at 300 cycle of freezing and thawing after curing age of days. on the contarary the concrete used water reducing agent is decreased less than 7%.

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Modal identification and model updating of a reinforced concrete bridge

  • El-Borgi, S.;Choura, S.;Ventura, C.;Baccouch, M.;Cherif, F.
    • Smart Structures and Systems
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    • v.1 no.1
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    • pp.83-101
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    • 2005
  • This paper summarizes the application of a rational methodology for the structural assessment of older reinforced concrete Tunisian bridges. This methodology is based on ambient vibration measurement of the bridge, identification of the structure's modal signature and finite element model updating. The selected case study is the Boujnah bridge of the Tunis-Msaken Highway. This bridge is made of a continuous four-span simply supported reinforced concrete slab without girders resting on elastomeric bearings at each support. Ambient vibration tests were conducted on the bridge using a data acquisition system with nine force-balance accelerometers placed at selected locations of the bridge. The Enhanced Frequency Domain Decomposition technique was applied to extract the dynamic characteristics of the bridge. The finite element model was updated in order to obtain a reasonable correlation between experimental and numerical modal properties. For the model updating part of the study, the parameters selected for the updating process include the concrete modulus of elasticity, the elastic bearing stiffness and the foundation spring stiffnesses. The primary objective of the paper is to demonstrate the use of the Enhanced Frequency Domain Decomposition technique combined with model updating to provide data that could be used to assess the structural condition of the selected bridge. The application of the proposed methodology led to a relatively faithful linear elastic model of the bridge in its present condition.

Strength and Non-fracture Test of Ready Mixed Concrete Using Polypropylene Fiber (폴리프로필렌 섬유를 혼입한 레미콘의 강도 및 비파괴 시험)

  • Nam, Ki-Sung;Youn, Dong-Chae;Yoon, Yeo-Hoon;Sung, Chan-Yong
    • Proceedings of the Korean Society of Agricultural Engineers Conference
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    • 2003.10a
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    • pp.403-406
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    • 2003
  • This study is performed to evaluate the strength and nan-fracture test of the ready mixed concrete(RMC) using polypropylene. The slump is reached in $8{\pm}2cm$ of each RMC using polypropylene or without polypropylene, air content is reached in $4.5{\pm}1.5%$, the chloride content is below $0.3kg/m^3$. The compressive strength of RMC not using polypropylene is appeared over $210kgf/cm^2$ at the curing age 7 days and $239kgf/cm^2$ at the curing age 28 days. The compressive strength of RMC using polypropylene is appeared over $188kgf/cm^2$ at the curing age 7 days and $238kgf/cm^2$ at the curing age 28 days. The dynamic modulus of elasticity of RMC not using polypropylene is appeared over $298{\times}10^3kgf/cm^2$ at the curing age 7 days and $342{\times}10^3kgf/cm^2$ at the curing age 28 days. The RMC using polypropylene is appeared over $284{\times}10^3kgf/cm^2$ at the curing age 7 days and $238{\times}10^3kgf/cm^2$ at the curing age 28 days. The pulse velocity of RMC not using polypropylene is appeared over 4,198m/s at the curing age 7 days and 4,382m/s at the curing age 28 days. The RMC using polypropylene is appeared over 4,182m/s at the curing age 7 days and 4,342m/s at the curing age 28 days.

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