• 제목/요약/키워드: Catenary curve

검색결과 40건 처리시간 0.024초

가공삭도의 선로이론에 대한 연구 (A Study on the Theory of Aerial Rope Way)

  • 최선호;박용수
    • 대한기계학회논문집
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    • 제10권3호
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    • pp.419-426
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    • 1986
  • 본 연구에서는 가공삭도의 선로설계에 최적화기법을 도입하여 시행착오법보다 신속.정확하면서도 경제성이나 승차감등이 항상된 설계를 위한 절차를 개발하고자 한 다. 이를 위하여 먼저 본 논문에서는 설계에 적용될 선로의 기본이론들을 정리, 혹 은 유도 하였다. 특히 기존의 포물곡선이론의 정확성을 규명하기 위하여 엄밀해인 현수곡선이론을 여러경우에 대하여 유도하고 그 오차를 계산하였다. 계산된 오차는 오차해석을 통하여 추측 될 수 있었으며 본 연구에서는 정의된 무차원군들과의 연관 성도 검토되었다.

카테너리 각도를 이용한 가공송전도체의 이도 추정 (Dip Estimation for Overhead Transmission Conductor using Catenary Angle)

  • 김성덕;손홍관;장태인
    • 조명전기설비학회논문지
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    • 제21권5호
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    • pp.112-119
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    • 2007
  • 가공송전 도체는 정상 동작조건 하에서 전력회사의 선로 설계지침에 규정된 지상고를 안정범위 내에서 항상 유지할 수 있어야 한다. 따라서 새로운 선로를 건설하거나 노화도체의 장력을 다시 조정하거나 또는 전력용량을 최대화하기 위해 동적송전용량을 모니터링하는 경우에, 도체 이도를 측정/또는 모니터링하는 것은 매우 중요하다. 본 연구에서는 도체의 카테너리 각도로 이도 및 장력을 추정하기 위한 새로운 방법을 제안한다. 가공송전선로의 대부분의 도체들은 전형적인 카테너리 곡선을 나타내므로 철탑 측의 카테너리 각도로부터 도체의 카테너리 곡선을 유일하게 결정할 수 있다. 이 카테너리 곡선을 토대로 도체의 이도나 수평장력을 쉽게 추정할 수 있다. 몇 가지 시뮬레이션과 간단한 실험 결과를 통하여 제안된 방법이 가공송전선의 도체 이도와 장력을 측정/또는 모니터링하는데 효과적으로 사용될 수 있음을 확인하였다.

VARIOUS CENTROIDS AND SOME CHARACTERIZATIONS OF CATENARY CURVES

  • Bang, Shin-Ok;Kim, Dong-Soo;Yoon, Dae Won
    • 대한수학회논문집
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    • 제33권1호
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    • pp.237-245
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    • 2018
  • For every interval [a, b], we denote by $({\bar{x}}_A,{\bar{y}}_A)$ and $({\bar{x}}_L,{\bar{y}}_L)$ the geometric centroid of the area under a catenary curve y = k cosh((x-c)/k) defined on this interval and the centroid of the curve itself, respectively. Then, it is well-known that ${\bar{x}}_L={\bar{x}}_A$ and ${\bar{y}}_L=2{\bar{y}}_A$. In this paper, we fix an end point, say 0, and we show that one of ${\bar{x}}_L={\bar{x}}_A$ and ${\bar{y}}_L=2{\bar{y}}_A$ for every interval with an end point 0 characterizes the family of catenaries among nonconstant $C^2$ functions.

가공색도의 지주높이 최적치에 관한 연구 (A study on the optimal value for the towers height of the ropeway)

  • 최선호;박용수
    • 대한기계학회논문집
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    • 제12권2호
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    • pp.381-388
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    • 1988
  • 본 연구에서는 설계조건에 만족하는 정확한 지주높이를 얻기 위하여 엄밀해를 가진 현수곡선이론을 바탕으로 하여 설계변수들과의 관계를 유도 및 수식화 하였다. 이를 최적설계문제로 정의하여 필요한 제한조건을 만족시키는 범위 내에서 지주의 굴적각들을 최소로 줄이는 최적화지법을 도입하여 체계적인 설계방법을 제시 하였다. 해석에 관한 설계예의 모델을 선정하여 굴절각들을 비교.검토하고 실험을 통하여 확인하였다.

Equivalent stiffness method for nonlinear analysis of stay cables

  • Xia, G.Y.;Cai, C.S.
    • Structural Engineering and Mechanics
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    • 제39권5호
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    • pp.661-667
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    • 2011
  • In the famous equivalent elasticity modulus method proposed by Ernst for the geometrical nonlinear analysis of stay cables, the cable shape was assumed as a parabolic curve, and only a part of the gravity load normal to the chord was taken into account with the other part of gravity load parallel to the chord being ignored. Using the actual catenary curve and considering the entire gravity load of stay cables, the present study has derived the equivalent stiffness method to analyze the sag effect of stay cables in cable-stayed bridges. The derived equivalent stiffness can be degenerated into Ernst's equivalent elasticity modulus method with some approximations. Therefore, the Ernst's method is a special and approximate formulation of the present method. The derived equivalent stiffness provides a theoretical explanation for the famous Ernst's formula.

Chord rotation demand for effective catenary action of RC beams under gravitational loadings

  • Tsai, Meng-Hao
    • Structural Engineering and Mechanics
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    • 제58권2호
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    • pp.327-345
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    • 2016
  • Many experimental and analytical studies have been conducted with beam-column subassemblages composed of a two-span beam to investigate the progressive collapse resistance of RC frames. Most study results reveal a strength-decreased transition phase in the nonlinear static load-deflection curve, which may induce dynamic snap-through response and increase the chord rotation demand for effective catenary action (ECA). In this study, the nonlinear static response is idealized as a piecewise linear curve and analytical pseudo-static response is derived for each linearized region to investigate the rotation demands for the ECA of the two-span RC beams. With analytical parameters determined from several published test results, numerical analysis results indicate that the rotation demand of 0.20 rad recommended in the design guidelines does not always guarantee the ECA. A higher rotation demand may be induced for the two-span beams designed with smaller span-to-depth ratios and it is better to use their peak arch resistance (PAR) as the collapse strength. A tensile reinforcement ratio not greater than 1.0% and a span-to-depth ratio not less than 7.0 are suggested for the two-span RC beams bridging the removed column if the ECA is expected for the collapse resistance. Also, complementary pseudo-static analysis is advised to verify the ECA under realistic dynamic column loss even though the static PAR is recovered in the nonlinear static response. A practical empirical formula is provided to estimate an approximate rotation demand for the ECA.

Fatigue performance of deepwater SCR under short-term VIV considering various S-N curves

  • Kim, D.K.;Choi, H.S.;Shin, C.S.;Liew, M.S.;Yu, S.Y.;Park, K.S.
    • Structural Engineering and Mechanics
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    • 제53권5호
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    • pp.881-896
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    • 2015
  • In this study, a method for fatigue performance estimation of deepwater steel catenary riser (SCR) under short-term vortex-induced vibration was investigated for selected S-N curves. General tendency between S-N curve capacity and fatigue performance was analysed. SCRs are generally used to transport produced oil and gas or to export separated oil and gas, and are exposed to various environmental loads in terms of current, wave, wind and others. Current is closely related with VIV and it affects fatigue life of riser structures significantly. In this regards, the process of appropriate S-N curve selection was performed in the initial design stage based on the scale of fabrication-related initial imperfections such as welding, hot spot, crack, stress concentration factor, and others. To draw the general tendency, the effects of stress concentration factor (SCF), S-N curve type, current profile, and three different sizes of SCRs were considered, and the relationship between S-N curve capacity and short-term VIV fatigue performance of SCR was derived. In case of S-N curve selection, DNV (2012) guideline was adopted and four different current profiles of the Gulf of Mexico (normal condition and Hurricane condition) and Brazil (Amazon basin and Campos basin) were considered. The obtained results will be useful to select the S-N curve for deepwater SCRs and also to understand the relationship between S-N curve capacity and short-term VIV fatigue performance of deepwater SCRs.

전차선로-집전계 주행시험기의 LSM 추진장치의 타당성 검토 시뮬레이션 (Feasibility Study through Simulation of LSM Propulsion System for the Catenary-current Collection Run Tester)

  • 권삼영;이형우;박현준;이주
    • 한국철도학회논문집
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    • 제9권4호
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    • pp.343-348
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    • 2006
  • In this paper, as a conceptual design of the catenary-current collection run tester which is planning to be constructed by KRRI, the feasibility study is described. In this study, reviews to determine the propulsion linear motor rating based on the target distance-speed curve through various simulation of LSM propulsion system were conducted. Moreover, the reviews of simulation results and desirable linear motor specifications are discussed in this paper.

Fatigue Life Evaluation of Butt-Welded Tubular Joints

  • Kim, Dong-Su;Nho, In-Sik
    • 한국해양공학회지
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    • 제17권2호
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    • pp.34-39
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    • 2003
  • Recent deepwater offshore structures in the Gulf of Mexico utilize butt welded tubular joints. Application of a welded tubular joint includes tendons, production risers, and steel catenary risers. Fatigue life assessment of these joints becomes more critical, as the structures to which they are attached are allowed to undergo cyclic and sometimes large displacements around an anchored position. Estimation of the fatigue behavior of these tubular members in the design stage is generally condrcted by using S-N curves, as specified in the codeds and standards. Applying the stress concentration factor of the welded structure to the S-N approach often results in a very conservative assessment, because the stress field acting on the tubular has a non-uniform distribution through the thickness. Fatigue life analysis using fracture mechanics has been applied in the design of the catenary risers. This technology enables the engineer to establish proper requirements on weld quality and inspection acceptance criteria to assure satisfactory structural integrity during its design life. It also provides guidance on proper design curves and a methodology for accounting for the effects of non-uniform stress distribution through the wall thickness. Still, there is inconsistency when designing tubular joints using a conventional S-N approach and when specifying weld flaw acceptance criteria using fracture mechanics approach. This study developed fatigue curves that are consistent with both the S-N approach and the fracture mechanics approach. Accounting for non-uniform stress distribution and threshold stress intensity factor were key parameters in relating both approaches. A series of S-N curves, generated from the fracture mechanics approach, were compared to the existing S-N curves. For flat plate butt joint, the S-N curve generated from fracture mechanics matches with the IIW class 100 curve when initial crack depth was 0.5 mm (0.02 ). The new curves for tubular joint agree very well with the experimental results. The comparison also indicated the degree of conservatism built into the API X design curve.

Fatigue Life Evaluation of Butt-Welded Tubular Joints

  • Kim, Dong-Sup;Nho, In-Sik
    • International Journal of Ocean Engineering and Technology Speciallssue:Selected Papers
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    • 제6권1호
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    • pp.69-74
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    • 2003
  • Recent deepwater offshore structures in the Gulf of Mexico utilize butt welded tubular joints. Application of a welded tubular joint includes tendons, production risers, and steel catenary risers. Fatigue life assessment of these joints becomes more critical, as the structures to which they are attached are allowed to undergo cyclic and sometimes large displacements around an anchored position. Estimation of the fatigue behavior of these tubular members in the design stage is generally conducted by using S-N curves, as specified in the codes and standards. Applying the stress concentration factor of the welded structure to the S-N approach often results in a very conservative assessment, because the stress field acting on the tubular has a non-uniform distribution through the thickness. Fatigue life analysis using fracture mechanics has been applied in the design of the catenary risers. This technology enables the engineer to establish proper requirements on weld quality and inspection acceptance criteria to assure satisfactory structural integrity during its design life. It also provides guidance on proper design curves and a methodology for accounting for the effects of non-uniform stress distribution through the wall thickness. Still, there is inconsistency when designing tubular joints using a conventional S-N approach and when specifying weld flaw acceptance criteria using fracture mechanics approach. This study developed fatigue curves that are consistent with both the S-N approach and the fracture mechanics approach. Accounting for non-uniform stress distribution and threshold stress intensity factor were key parameters in relating both approaches. A series of S-N curves, generated from the fracture mechanics approach, were compared to the existing S-N curves. For flat plate butt joint, the S-N curve generated from fracture mechanics matches with the IIW class 100 curve when initial crack depth was 0.5 mm (0.02). The new curves for tubular joint agree very well with the experimental results. The comparison also indicated the degree of conservatism built into the API X design curve.

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