• Title/Summary/Keyword: Bending Energy

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The Equations of Motion for the Stretcthing, Bending and Twisting of a Marine Pipeline Containing Flowing Fluids (내부 유체 유동을 포함한 해저 파이프 라인의 인장 굽힘 비틀림 운동 방정식)

  • 서영태
    • Journal of Ocean Engineering and Technology
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    • v.8 no.2
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    • pp.151-156
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    • 1994
  • The equations of motion of a submarine pipeline with the internal flowing fluid and subject to hydrodynamic loadings are derived by using Hamilton's principle. Coupling between the bending and the longitudinal extension due to axial load and thermal expansion are considered. Coupling between the twisting and extension are not considered. The equations of motion are well agreed with the results which are derived by the vector method.

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A study on the Impact damages and residual strength of CFRP laminates to impact under high temperature (고온에서 총격을 받는 CFRP 적층재의 총격손상과 잔류강도에 관한 연구)

  • 정종안;이상호;양인영
    • Journal of the Korean Society of Safety
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    • v.11 no.3
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    • pp.44-52
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    • 1996
  • An experimental study on the effects of temperature change on the impact damages of CFRP aminates was made through an observation of the interrelations between the Impact energy vs. delamination area, the impact energy vs. residual bending strength, and the delamination area vs. the decreasing of the residual bending strength for CF/EPOXY and CF/PEEK composite laminates subjected to FOD (Foreign Object Damage) under high temperatures.

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The Determination of Interconversion Barrers of Oxygen-Containing Cyclohexene Analogues

  • Ju, Jae Beom;Lee, Su No;Lee, Guk Haeng
    • Bulletin of the Korean Chemical Society
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    • v.17 no.1
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    • pp.7-11
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    • 1996
  • The interconversion barriers between two twisted conformers of four oxygen-containing cyclohexene analogues have been investigated utilizing a periodic hindered pseudorotational model, molecular mechanics (MM3) calculations, and previously reported far-infrared spectra. The six-fold pseudorotational potential energy function satisfactorily fits the observed bending transitions. The interconversion barrier heights calculated from the pseudorotational model show excellent agreement with those determined from two-dimensional potential energy surfaces for the ring-bending and ring-twisting vibrations. The barriers to interconversion range from 3350 $cm^{-1}$ (9.6 kcal/mol) to 3890 $cm^{-1}$ (11.1 kcal/mol) for four oxygen-containing cyclohexene analogues.

Stability Analysis of Stiffened Thin Plates Using Energy Method (에너지법을 이용한 보강된 박판의 안정성해석)

  • KIM, Moon Young;MIN, Byoung Cheol
    • Journal of Korean Society of Steel Construction
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    • v.8 no.3 s.28
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    • pp.55-65
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    • 1996
  • For stability analysis of stifened rectangular thin plates with various boundary conditions, Ritz method is presented. An energy method is especially useful in those cases where a rigorous solution of the diferential eqution is unknown or where we have a plate reinforced by stiffeners and it is required to find only an approximate value of the critical load. The strain energy due to the plate bending and the work done by the in-plane forces are taken into account in order to apply the principle of the minimum potential energy. The buckling mode shapes of flexural beams with various boundary conditions are derived, and shape functions consistent with the given boundary conditions in the two orthogonal directions are chosen from those displacement functions of beams. The matrix equations for stability of stiffened rectangular thin plates are determined from the stationary condition of the total potential energy. Numerical example for stability behaviors of horizontally and vertically stiffened plates subjected to uniform compression, bending and shear loadings are presented and the obtained results are compared with other researchers' results.

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Geometric variations and surface residual stresses in U-bending processes of an UNS N06690 row-1 heat exchanger tubes (UNS N06690 제1열 시제전열관의 U-굽힘성형에서 형상변화와 표면잔류응력)

  • Kim, Woo-Gon;Jang, Jin-Sung;Kuk, Il-Hiun;Joo, Jin-Won;Kim, Sung-Chung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.22 no.1
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    • pp.238-246
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    • 1998
  • Surface residual stresses as well as wall thickness and ovality changes after U-bending process on UNS N06690 row-1 heat exchanger tubes, were estimated. Surface residual stresses were measured by Hole Drilling Method(HDM), calculating the stresses from relieved strains of 3 rosette strain gages. After bending of the tubes, dimensional tolerances for wall thickness and ovality were satisfied with ASTM requirements. Residual stresses at the extrados were introduced with compressive stress(-) by bending operations, and its maximum value reached-319 MPa in axial direction at ${\phi}=0^{\circ}$ in position. Tensile residual stresses(+) of ${\sigma}_zz=45$ MPa,${\sigma}_zz=25$ MPa were introduced in the intrados surface at position of ${\phi}=0^{\circ}$ Maximum tensile residual stress of 170 MPa was detected on the flank side at position of ,${\phi}=95^{\circ}$i.e., at apex region. It appeared that higher stress gradients were generated at the irregular transition regions. In the trend of residual stress changes with U-bend position, the extrados is related with the changes of ovality and the intrados is related with the changes of wall thickness.

Triangular Plate-Bending Element by Combined node (절점 병합에 의한 삼각형 평판휨 요소)

  • 최창근;강윤숙;이태열
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.10a
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    • pp.104-111
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    • 2002
  • A new triangular element fur the finite element analysis of plate-bending problems is presented. For the purpose of sharing the program code of 4 node plate-bending element, two nodes of the 4-node element are combined to form a triangular element. Thus, the presented element would bring about great deal of efficiency of the computer program. The proposed variable-node elements pass the patch tests, do not show spurious zero-energy modes, and do not produce shear locking phenomena. It is also shown that the elements produce reliable solutions through numerical tests for standard benchmark problems.

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Failure Analysis of Circulating Water Pump Shaft in Power Plant (발전 계획에서 순환 물 펌프 고장 분석)

  • Lee, Jaehong;Jung, Nam-gun
    • KEPCO Journal on Electric Power and Energy
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    • v.7 no.1
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    • pp.125-128
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    • 2021
  • This paper presents the root cause failure analysis of the circulating water pump in the 560 MW thermal power plant. A fractured austenitic stainless-steel shaft operated for 24 years was examined. Fracture morphology was investigated by micro and macro-fractographic analysis. The metallurgical analyses including chemical analysis, metallography and hardness testing were performed. The analysis reveals that the pump shaft was fractured due to the reverse bending load with combination of rotating bending load. Corrective actions for plant operator was recommended based on the analysis.

Parametric resonance of composite skew plate under non-uniform in-plane loading

  • Kumar, Rajesh;Kumar, Abhinav;Panda, Sarat Kumar
    • Structural Engineering and Mechanics
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    • v.55 no.2
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    • pp.435-459
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    • 2015
  • Parametric resonance of shear deformable composite skew plates subjected to non-uniform (parabolic) and linearly varying periodic edge loading is studied for different boundary conditions. The skew plate structural model is based on higher order shear deformation theory (HSDT), which accurately predicts the numerical results for thick skew plate. The total energy functional is derived for the skew plates from total potential energy and kinetic energy of the plate. The strain energy which is the part of total potential energy contains membrane energy, bending energy, additional bending energy due to additional change in curvature and shear energy due to shear deformation, respectively. The total energy functional is solved using Rayleigh-Ritz method in conjunction with boundary characteristics orthonormal polynomials (BCOPs) functions. The orthonormal polynomials are generated for unit square domain using Gram-Schmidt orthogonalization process. Bolotin method is followed to obtain the boundaries of parametric resonance region with higher order approximation. These boundaries are traced by the periodic solution of Mathieu-Hill equations with period T and 2T. Effect of various parameters like skew angle, span-to-thickness ratio, aspect ratio, boundary conditions, static load factor on parametric resonance of skew plate have been investigated. The investigation also includes influence of different types of linearly varying loading and parabolically varying bi-axial loading.

Densification of Reaction Bonded TiC Composite by Infiltration of Liquid Phase Ni/Si/Co (액상 Ni/Si/Co 침투에 의한 반응결합 TiC 복합체의 치밀화)

  • Han, In-Sub;Woo, Sang-Kuk;Bai, Kang;Hong, Ki-Suk;Seo, Doo-Won;Chung, Yoon-Jung
    • Journal of the Korean Ceramic Society
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    • v.35 no.10
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    • pp.1020-1029
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    • 1998
  • The reaction-bonded TiC-Ni/Si/Co composites were prepared by the melt infiltration of Co, Si, and Ni me-tal into the TiC preforms. The miocrostructure reaction composition and mechanical properties were in-vestigated. In the case of the melt infiltrated with Co and Ni TiC grain shape was changed from angular to spherical shape with the average grain size of ∼5$\mu\textrm{m}$. In the case of the melt infiltrated with Co/Si or Ni/Si, Si was reacted with TiC particles and formed SiC particles. The bending strength of both specimens which have atomic ratio of 3 were 710 MPa and 515 MPa respectively. In the case of the melt infiltrated with Ni/Si/Co,. nonstoichiometric TiC was formed and its bending strength decreased to 420 MPa.

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New Deformation Mechanism in the Forming of Cones by Shear Spinning (전단 스피닝에 의한 원추형상의 성형에 관한 변형 메커니즘)

  • Kim J. H.;Kim Chul
    • Transactions of Materials Processing
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    • v.14 no.4 s.76
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    • pp.375-383
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    • 2005
  • The shear spinning process, where the plastic deformation zone is localized in a very small portion of the workpiece, shows a promise for increasingly broader application to the production of axially symmetric parts. In this paper, the three components of the working force are calculated by a newly proposed deformation model in which the spinning process is understood as shearing deformation after uniaxial yielding by bending, and shear stress, $\tau_{rz}$, becomes k, yield limit in pure shear, in the deformation zone. The tangential force are first calculated and the feed force and the normal force are obtained by the assumption of uniform distribution of roller pressure on the contact surface. The optimum contact area is obtained by minimizing the bending energy required to get the assumed deformation of the blank. The calculated forces are compared with experimental results. A comparison shows that theoretical prediction is reasonably in good agreement with experimental results