• Title/Summary/Keyword: Neutral behavior

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Exact vibration and buckling analyses of arbitrary gradation of nano-higher order rectangular beam

  • Heydari, Abbas
    • Steel and Composite Structures
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    • v.28 no.5
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    • pp.589-606
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    • 2018
  • The previous studies reflected the significant effect of neutral-axis position and coupling of in-plane and out-of-plane displacements on behavior of functionally graded (FG) nanobeams. In thin FG beam, this coupling can be eliminated by a proper choice of the reference axis. In shear deformable FG nanobeam, not only this coupling can't be eliminated but also the position of neutral-axis is dependent on through-thickness distribution of shear strain. For the first time, in this paper it is avoided to guess a shear strain shape function and the exact shape function and consequently the exact position of neutral axis for arbitrary gradation of higher order nanobeam are obtained. This paper presents new methodology based on differential transform and collocation methods to solve coupled partial differential equations of motion without any simplifications. Using exact position of neutral axis and higher order beam kinematics as well as satisfying equilibrium equations and traction-free conditions without shear correction factor requirement yields to better results in comparison to the previously published results in literature. The classical rule of mixture and Mori-Tanaka homogenization scheme are considered. The Eringen's nonlocal continuum theory is applied to capture the small scale effects. For the first time, the dependency of exact position of neutral axis on length to thickness ratio is investigated. The effects of small scale, length to thickness ratio, Poisson's ratio, inhomogeneity of materials and various end conditions on vibration and buckling of local and nonlocal FG beams are investigated. Moreover, the effect of axial load on natural frequencies of the first modes is examined. After degeneration of the governing equations, the exact new formulas for homogeneous nanobeams are computed.

A Study on the Flexural Behavior according to Filling conditions of Beams Members(A Siries) Using High Performance Concrete (고유동성 콘크리트를 이용한 보부재(A시리즈)의 충전상황별 휨거동 연구)

  • 장일영;윤영수;엄주환;송재호
    • Proceedings of the Korea Concrete Institute Conference
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    • 1996.04a
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    • pp.306-311
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    • 1996
  • This paper persents the flexural behavior of high performance concrete beams having different concrete filling conditions. Three tests were conducted on full-scale beam specimens with design concrete compressive strength of 400 kg/$\textrm{cm}^2$. Different concrete filling conditions were intentionally made such that the first beam specimen was soundly cast to obtain the perfect concrete filling condition. Second beam specimen was cast in such a way that up to the longitudinal tensile reinforcement from the top, good concrete was filled while poor concrete was poured for the bottom part to simulate the poor workamanship, workability and unsatisfactory compaction. Third beam specimens was cast in such a way that up to the neutral axis of the beam section from the top, good concrete was filled while so did for the bottom part as the second beam specimen. The test results were analyzed in terms of load-displacement response, formation of crack, crack width, crack spacing and shift of neutral axis. An evaluation of the ductile response fo three different beam specimens was made in combination with the ultimate load accoding to the three different concrete filling conditions.

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Effect of porosity on the bending and free vibration response of functionally graded plates resting on Winkler-Pasternak foundations

  • Benferhat, Rabia;Daouadji, Tahar Hassaine;Mansour, Mohamed Said;Hadji, Lazreg
    • Earthquakes and Structures
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    • v.10 no.6
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    • pp.1429-1449
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    • 2016
  • The effect of porosity on bending and free vibration behavior of simply supported functionally graded plate reposed on the Winkler-Pasternak foundation is investigated analytically in the present paper. The modified rule of mixture covering porosity phases is used to describe and approximate material properties of the FGM plates with porosity phases. The effect due to transverse shear is included by using a new refined shear deformation theory. The number of unknown functions involved in the present theory is only four as against five or more in case of other shear deformation theories. The Poisson ratio is held constant. Based on the sinusoidal shear deformation theory, the position of neutral surface is determined and the equation of motion for FG rectangular plates resting on elastic foundation based on neutral surface is obtained through the minimum total potential energy and Hamilton's principle. The convergence of the method is demonstrated and to validate the results, comparisons are made with the available solutions for both isotropic and functionally graded material (FGM). The effect of porosity volume fraction on Al/Al2O3 and Ti-6Al-4V/Aluminum oxide plates are presented in graphical forms. The roles played by the constituent volume fraction index, the foundation stiffness parameters and the geometry of the plate is also studied.

Evaluation on structural behaviors of prestressed composite beams using external prestressing member

  • Ahn, Jin-Hee;Jung, Chi-Young;Kim, Sang-Hyo
    • Structural Engineering and Mechanics
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    • v.34 no.2
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    • pp.247-275
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    • 2010
  • In this study, experimental, numerical, and analytical approaches were carried out to evaluate the behavior and prestressing effect of prestressed composite beam by external tendon and cover plate. Behavior of prestressed composite beam, load-carrying capacity, effects of prestressing, and ultimate strength were estimated. The contribution of the section increase of the prestressing method using tendon was less than the prestressing method using cover plate. In accordance with numerical and analytical approaches, the ultimate strength of the prestressed composite beam is shown to be the same value because strength is determined according to the plastic resistance moment and the plastic neutral axis; however, both plastic resistance moment and neutral axis are not affected by prestressing force but affected by sectional stiffness of the prestressing member. Based on these approaches, we concluded that the prestressing method using tendon can be useful in applications without an increase in self-weight, and the prestressing method using high-strength cover plate can be applied to reduce the deflection of the composite beam. The prestressing method using high-strength cover plate can also be used to induce prestress of the composite beam in the case of a large deflection due to a smaller sectional stiffness of the composite beam.

Free vibration analysis of FG plates resting on the elastic foundation and based on the neutral surface concept using higher order shear deformation theory

  • Benferhat, Rabia;Daouadji, Tahar Hassaine;Mansour, Mohamed Said;Hadji, Lazreg
    • Earthquakes and Structures
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    • v.10 no.5
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    • pp.1033-1048
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    • 2016
  • An analytical solution based on the neutral surface concept is developed to study the free vibration behavior of simply supported functionally graded plate reposed on the elastic foundation by taking into account the effect of transverse shear deformations. No transversal shear correction factors are needed because a correct representation of the transversal shearing strain obtained by using a new refined shear deformation theory. The foundation is described by the Winkler-Pasternak model. The Young's modulus of the plate is assumed to vary continuously through the thickness according to a power law formulation, and the Poisson ratio is held constant. The equation of motion for FG rectangular plates resting on elastic foundation is obtained through Hamilton's principle. Numerical examples are provided to show the effect of foundation stiffness parameters presented for thick to thin plates and for various values of the gradient index, aspect and side to thickness ratio. It was found that the proposed theory predicts the fundamental frequencies very well with the ones available in literature.

Direct Examination of the Dietary Preference of the Copepod Calanus helgolandicus Using the Colorimetric Approach

  • Kang, Hyung-Ku;Poulet, Serge;Ju, Se-Jong
    • Ocean Science Journal
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    • v.42 no.3
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    • pp.193-197
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    • 2007
  • The food selectivity of tethered females of the copepod Calanus helgolandicus was examined by using the colorimetric approach. First, feeding behavior of the copepod did not show any differences between the red-color stained with neutral red and non-stained diets using the diatom Coscinodiscus curvatulus. Then, the copepods were fed a mixtures of two diets, the diatom C. curvatulus, stained with neutral red, and the dinoflagellate Gymnodinium sanguineum for $14\sim60$ minutes of feeding duration. The foregut colors of females were examined using a stereo-microscope and a video monitor. The foreguts of animals fed with a high density of diatoms in mixed diets showed a dark red color, whereas those fed with a high density of dinoflagellate in mixed diets were a dark yellow. The results suggest that this species of copepod may not selectively feed either one of the diets used for this study. Their feeding activity may be more likely related to the density of available prey in their environment. Therefore, this quick and easy colorimetric approach could provide very useful information, like the pre-screening procedure before designing and conducting the time-consuming and complex feeding experiments to understand the feeding ecology of copepods.

Sensitivity analysis of flexural strength of RC beams influenced by reinforcement corrosion

  • Hosseini, Seyed A.;Shabakhty, Naser;Khankahdani, Fardin Azhdary
    • Structural Engineering and Mechanics
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    • v.72 no.4
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    • pp.479-489
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    • 2019
  • The corrosion of reinforcement leads to a gradual decay of structural strength and durability. Several models for crack occurrence prediction and crack width propagation are investigated in this paper. Analytical and experimental models were used to predict the bond strength in the period of corrosion propagation. The manner of flexural strength loss is calculated by application of these models for different scenarios. As a new approach, the variation of the concrete beam neutral axis height has been evaluated, which shows a reduction in the neutral axis height for the scenarios without loss of bond. Alternatively, an increase of the neutral axis height was observed for the scenarios including bond and concrete section loss. The statistical properties of the parameters influencing the strength have been deliberated associated with obtaining the time-dependent bending strength during corrosion propagation, using Monte Carlo (MC) random sampling method. Results showed that the ultimate strain in concrete decreases significantly as a consequence of the bond strength reduction during the corrosion process, when the section reaches to its final limit. Therefore, such sections are likely to show brittle behavior.

A study on mother's view and mediating behavior of paternal grandparents-grandchildren relationship (친조부모-손자녀관계에 대한 모의 관점 및 중재에 관한 연구 : 10대 자녀를 둔 모를 중심으로)

  • 서동인
    • Journal of the Korean Home Economics Association
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    • v.34 no.2
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    • pp.153-166
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    • 1996
  • Mother's view and mediating behavior of paternal grandparents-grandchildren is explored by using data of 159 mothers who have children at teens. The analysis indicates as below. 1. Mothers highly except the roles of grandparents such as teaching values and family historians, role models for good life, influencing on the developing of self-identity of grandchildren. However mothers want grandparents keep distance from the lives of grandchildren. This may be double message to grandparents that they may find it uneasy to accomodate. 2. Grandchildren's role is expected very positively by mothers. 3. Mothers' mediating level of paternal grandparents-grandchildren relations is neutral and a little bit positive on the whole. Mothers' mediating behavior between grandfathers-grandchildren is associated with mothers' view on the importance of grandfathers in the lives of grandchildren and residence pattern. Mothers' mediating behavior between grandmothers-grandchildren is associated with mothers' view on the importance of grandmothers in the lives of grandchildren, grandchildren's role, the intimacy between mothers and grandmothers and residence pattern.

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Surface effects on nonlinear vibration and buckling analysis of embedded FG nanoplates via refined HOSDPT in hygrothermal environment considering physical neutral surface position

  • Ebrahimi, Farzad;Heidari, Ebrahim
    • Advances in aircraft and spacecraft science
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    • v.5 no.6
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    • pp.691-729
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    • 2018
  • In this paper the hygro-thermo-mechanical vibration and buckling behavior of embedded FG nano-plates are investigated. The Eringen's and Gurtin-Murdoch theories are applied to study the small scale and surface effects on frequencies and critical buckling loads. The effective material properties are modeled using Mori-Tanaka homogenization scheme. On the base of RPT and HSDPT plate theories, the Hamilton's principle is employed to derive governing equations. Using iterative and GDQ methods the governing equations are solved and the influence of different parameters on natural frequencies and critical buckling loads are studied.

Bifunctional Perfluoroaryl Boranes as Cationic Initiators for Isobutylene Polymerization

  • Piers Warren E.;Chase Preston A.;Henderson Lee, D.;Sciarone Timo;Collins Scott;Chai, Jianfang;Parvez Masood
    • Proceedings of the Polymer Society of Korea Conference
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    • 2006.10a
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    • pp.150-151
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    • 2006
  • Perfluoroaryl boranes are widely employed as co-catalysts in olefin polymerization processes. Perfluoroaryl diboranes, possessing borane centers in close proximity, are a subclass of this family of compounds that are in theory capable of chelating neutral and anionic bases. The resulting anions are exceptionally weakly coordinating. We have prepared examples of such compounds and studied their coordination behavior with neutral Lewis bases that have the capability to bridge Lewis acid sites in an effort to delineate the kinetic and thermodynamic factors that influence bonding mode. When protic Lewis bases such as alcohols or water are reacted with diboranes, strong Bronsted acids capable of initiating cationic polymerizations under unusual conditions result.

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