• Title/Summary/Keyword: Bending effects

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On bending of cutout nanobeams based on nonlocal strain gradient elasticity theory

  • Alazwari, Mashhour A.;Eltaher, Mohamed A.;Abdelrahman, Alaa A.
    • Steel and Composite Structures
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    • v.43 no.6
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    • pp.707-723
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    • 2022
  • This article aims to investigate the size dependent bending behavior of perforated nanobeams incorporating the nonlocal and the microstructure effects based on the nonlocal strain gradient elasticity theory (NSGET). Shear deformation effect due to cutout process is studied by using Timoshenko beams theory. Closed formulas for the equivalent geometrical characteristics of regularly squared cutout shape are derived. The governing equations of motion considering the nonlocal and microstructure effects are derived in comprehensive procedure and nonclassical boundary conditions are presented. Analytical solution for the governing equations of motion is derived. The derived non-classical analytical solutions are verified by comparing the obtained results with the available results in the literature and good agreement is observed. Numerical results are obtained and discussed. Parametric studies are conducted to explore effects of perforation characteristics, the nonclassical material parameters, beam slenderness ratio as well as the boundary and loading conditions on the non-classical transverse bending behavior of cutout nanobeams. Results obtained are supportive for the design, analysis and manufacturing of such nanosized structural system.

Static bending study of AFG nanobeam using local stress-and strain-driven nonlocal integral models

  • Yuan Tang;Hai Qing
    • Advances in nano research
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    • v.16 no.3
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    • pp.265-272
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    • 2024
  • In this paper, the problem of static bending of axially functionally graded (AFG) nanobeam is formulated with the local stress(Lσ)- and strain-driven(εD) two-phase local/nonlocal integral models (TPNIMs). The novelty of the present study aims to compare the size-effects of nonlocal integral models on bending deflections of AFG Euler-Bernoulli nano-beams. The integral relation between strain and nonlocal stress components based on two types nonlocal integral models is transformed unitedly and equivalently into differential form with constitutive boundary conditions. Purely LσD- and εD-NIMs would lead to ill-posed mathematical formulation, and Purely εD- and LσD-nonlocal differential models (NDM) may result in inconsistent size-dependent bending responses. The general differential quadrature method is applied to obtain the numerical results for bending deflection and moment of AFG nanobeam subjected to different boundary and loading conditions. The influence of AFG index, nonlocal models, and nonlocal parameters on the bending deflections of AFG Euler-Bernoulli nanobeams is investigated numerically. A consistent softening effects can be obtained for both LσD- and εD-TPNIMs. The results from current work may provide useful guidelines for designing and optimizing AFG Euler-Bernoulli beam based nano instruments.

Ultimate Transverse Bending Strength Analysis of a SWATH Ship (SWATH선의 최종 횡굽힘강도 해석)

  • 박치모
    • Journal of Ocean Engineering and Technology
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    • v.6 no.2
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    • pp.103-112
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    • 1992
  • The calculation method which takes into account the shear lag effects on the ultimate transverse bending moment of a SWATH(Small Waterplane Area Twin Hull) ship has been developed. In case of the ultimate bending strength analysis of conventional monohull ships and general box girder structures, the hypothesis that plane section remains plane after bending can be employed but not in the case of the structures having wide flange. For the ultimate bending strength analysis of such structures, a new method which can take into account the effect of shear lag on the ultimate bending strength has been developed by adopting more reasonable assumption that warping distortion of the section takes place inthe same way as the actual stress distribution. Finally, the proposed method has been applied to a a SWATH cross deck structure.

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The Thinning Phenomena of the Wall Thickness during $360^{\circ}$ Cold Bending of Ti-6Al-4V Large-Diameter Seamless Tube (대 직경 이음매 없는 Ti-6Al-4V 합금 튜브의 $360^{\circ}$ 냉간 굽힘 시 벽두께 감소현상)

  • 허선무;박종승
    • Journal of the Korea Institute of Military Science and Technology
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    • v.3 no.1
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    • pp.231-236
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    • 2000
  • The wall thickness of the Ti-6Al-4V Large-Diameter Seamless Tube, which is supposed to be a very important parameter in a system design, was measured during $360^{\circ}$ cold bending processes. The factors or processes affecting the wall thickness include 1) primary bending, 2)secondary or finishing step of the $360^{\circ}$ bending, 3)cleaning processes in CERO TRUTM(CT)process. But thinning effects of the wall thickness during the cleaning processes are negligible compared to those during the formers. The variations in the percentages of the change in wall thickness were found to be from -14% to +16%.

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A Study on the Surface Roughness & Bending Strength for Zirconia Ceramic Grinding (지르코니아 세라믹 연삭시 표면조도와 굽힘강도에 관한 연구)

  • Ha, Sang-Baek;Choi, Hwan;Lee, Jong-Chan
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.5
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    • pp.131-136
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    • 2000
  • This paper is concerned with the surface roughness and the bending strength of ground workpiece in ZrO2 ceramic grinding. Surface roughness was measured with surface tracer and bending strength value was obtained by three-point bending test on machining center using tool dynamometer. Grinding experiments were carried out to examine the effects of grinding conditions including diamond mesh size, table speed, and depth of cut on ground surface roughness. The correlation between surface roughness and bending strength was also inspected. The experimental results indicate that the rougher surface is produced as the mesh size of diamond wheel is reduced and table speed is increased, but surface roughness is not affected by depth of cut. The values of bending strength decrease as the values of Ra, Rmax and Ku increase.

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A Study on the Surface Roughness & Bending Strength for Zirconia Ceramic Grinding (질코니아 세라믹 연삭시 표면조도와 굽힘강도에 관한 연구)

  • 하상백
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2000.04a
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    • pp.465-470
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    • 2000
  • This paper is concerned with the surface roughness and the bending strength of ground workpiece in ZrO2 ceramic grinding. Surface roughness was measured with surface tracer and bending strength value was obtained by three-point bending test on machining center using tool dynamometer. Grinding experiments were carried out to examine the effects of grinding conditions including diamond mesh size, table speed, and depth of cut on ground surface roughness. The correlation between surface roughness and bending strength was also inspected. The experimental results indicate that the rougher surface was produced as the mesh size of diamond wheel is reduced and table speed is increased, but surface roughness is not affected by depth of cut. The values of bending strength decrease as the values of Ra, Rmax and Ku increase.

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Coupled flexural and torsional vibration of channel beam (휨과 비틀림이 연계된 채널보의 진동)

  • 김상환
    • Journal of KSNVE
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    • v.5 no.3
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    • pp.327-335
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    • 1995
  • The study deals with the vibration of a beam whose flexural and centroidal axes are not coincident. The elementary bending-twisting theory is employed to derive the equation of motion, in which the effects of rotary inertia are added to the bending displacements and the effects of warping are added to the twist. Bending translation is restricted to one direction so that one bending equation is used instead of two. The equations of motion are solved by using the boundary value problem. The exact natural frequencies are fund from the frequency equation, which is obtained from the condition that the homogeneous system of algebraic equations representing the spatial solution shall not yield a trivial solution. The orthogonal conditions are established, and the principal mode equations of forced vibration are derived. As an example, the cantilevered beam is chosen and the first some natural frequencies and their modal shapes are found.

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Creep analysis of concrete filled steel tube arch bridges

  • Wang, Y.F.;Han, B.;Du, J.S.;Liu, K.W.
    • Structural Engineering and Mechanics
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    • v.27 no.6
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    • pp.639-650
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    • 2007
  • Applying the method calculating creep of Concrete Filled steel Tube (CFT) members based on the Elastic Continuation and Plastic Flow theory for concrete creep with the finite element method, the paper develops a new numerical method for the creep of CFT arch bridges considering effects of bending moment. It is shown that the method is feasible and reasonable through comparing the predicted stresses and deflection caused by the creep with the results obtained by the method of Gu et al. (2001) based on ACI209R model and experimental data of an actual CFT arch bridge. Furthermore, nine CFT arch bridges with different types are calculated and analyzed with and without the effects of bending moment. As a result, the bending moment has considerable influences on long-term deformations and internal forces of CFT arch bridges, especially when the section of arch rib is subjected to a large bending moment.

The Effects of Temperature Change on the Bending Strength of CF/PEEK Laminates after Impact (온도변화가 CF/PEEK 적층재의 충격 후 굽힘강도에 미치는 영향)

  • 양인영;정종안;나승우
    • Journal of the Korean Society of Safety
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    • v.18 no.2
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    • pp.34-39
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    • 2003
  • In this paper, when CF/PEEK laminates for high efficiency space structure are subjected to FOD(Foreign Object Damage), the effects of temperature change on the impact damages(interlaminar separation and transverse crack) of CF/PEEK laminates and the relationship between residual lift and impact damages are experimentally investigated. Composite laminates used in this experiment are CF/PEEK orthotropic laminated plates, which have two-interlaces [$0^{\circ}_4/90^{\circ}_8/0^{\circ}_4$]. A steel ball launched by the air gun collides against CF/PEEK laminates to generate impact damages. And then CF/PEEK specimens with impact damages are observed by a scanning acoustic microscope under room and high temperatures. In this experimental results, various relations are experimentally observed including the delamination area vs. temperature change, the bending strength vs. impact energy and the residual bending strength vs. impact damage of CF/PEEK laminates.

Effects of Patenting Temperature on the Bending Fatigue Resistance of the Steel Filaments used for Automotive Tire (열처리 조건에 따른 미세 강선의 굽힘 피로 특성 변화)

  • Yang, Y.S.;Bae, J.G.;Park, C.G.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2008.05a
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    • pp.454-457
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    • 2008
  • Effects of patenting temperature on bending fatigue resistance of pearlitic steel filaments were investigated experimentally. The fatigue resistance of steel filaments was carried out by using hunter machine, specially designed for ultra fine-sized steel wires, in the controlled conditions. The transmission electron microscopy (TEM) was used for observing the overall microstructure. It revealed that the fatigue resistance as well as tensile strength increased together with increase of patenting temperature from 510 to $600^{\circ}C$, while the endurance ratio ($\sigma_e/\sigma_{TS}$) of filaments decreased. It is believed that this variation of mechanical properties with change of patenting temperature should be strongly influenced by the change of microstructure. The bending fatigue properties of steel filaments were discussed based on microstructural parameters.

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