• 제목/요약/키워드: $C^{*}$-Integral

검색결과 658건 처리시간 0.028초

Identification of moving train loads on railway bridge based on strain monitoring

  • Wang, Hao;Zhu, Qingxin;Li, Jian;Mao, Jianxiao;Hu, Suoting;Zhao, Xinxin
    • Smart Structures and Systems
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    • 제23권3호
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    • pp.263-278
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    • 2019
  • Moving train load parameters, including train speed, axle spacing, gross train weight and axle weights, are identified based on strain-monitoring data. In this paper, according to influence line theory, the classic moving force identification method is enhanced to handle time-varying velocity of the train. First, the moments that the axles move through a set of fixed points are identified from a series of pulses extracted from the second derivative of the structural strain response. Subsequently, the train speed and axle spacing are identified. In addition, based on the fact that the integral area of the structural strain response is a constant under a unit force at a unit speed, the gross train weight can be obtained from the integral area of the measured strain response. Meanwhile, the corrected second derivative peak values, in which the effect of time-varying velocity is eliminated, are selected to distribute the gross train weight. Hence the axle weights could be identified. Afterwards, numerical simulations are employed to verify the proposed method and investigate the effect of the sampling frequency on the identification accuracy. Eventually, the method is verified using the real-time strain data of a continuous steel truss railway bridge. Results show that train speed, axle spacing and gross train weight can be accurately identified in the time domain. However, only the approximate values of the axle weights could be obtained with the updated method. The identified results can provide reliable reference for determining fatigue deterioration and predicting the remaining service life of railway bridges.

응력확대계수와 J-적분 결정을 위한 코스틱스방법의 실험조건에 관한 연구 (Revisit on Experimental Conditions in Determination of Stress Intensity Factor and the J-Integral Using the Methods of Caustics)

  • 이억섭;조종두;홍성경
    • 대한기계학회논문집
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    • 제18권9호
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    • pp.2331-2338
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    • 1994
  • Experimental conditions of the optical shadow methods of caustics for measurement of the stress intensity factor and the J-integral in various materials(polycarbonate, PMMA, Al 5586D) are investigated. The necessary experimental requirements toe determine accurate values of the stress intensity factors and the J-integrals are described. The ratio of $r_o$ (radius of initial curve) to $r_p$ (plastic zone size) is selected as a parameter to verify the experimental limitation of the method of caustics in determination of fracture parameters. In this study, transmission caustics method was used for compact tension specimens made of polycarbonate and PMMA. while reflection caustics method was applied to c-shaped tension specimen made of Al 5586D. The appropriate ranges of $r_o/r_p$ tp determine accurate values of stress intensity factors were found to be 1.5~1.8. Existing experimental results have been obtained mainly by changing $r_p$ with different loads in $r_o/r_p$. However, in this study we could obtain varying $K_{caus}/K_{th}$ over the wide range of $r_o/r_p$ at fixed load conditions with newly designed optical arrangement. Thus, we could find the range in which theoretical and experimental results agree well each other by changing $r_o$ values only. In Al 5586D specimen, experimental caustics were located inside of the plastic zone, and $K_{caus}/K_{th}$ were found to be not unity in this range. It is found that $J_{caus}/J_{th}=1{\;}with{\;}r_o/t{\geq}0.8$ and the experimental plastic zone includes the contours of caustics.

비압축성 점성유동의 와도와 압력 경계조건 (On the Vorticity and Pressure Boundary Conditions for Viscous Incompressible Flows)

  • 서정천
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 1998년도 춘계 학술대회논문집
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    • pp.15-28
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    • 1998
  • As an alternative for solving the incompressible Navier-Stokes equations, we present a vorticity-based integro-differential formulation for vorticity, velocity and pressure variables. One of the most difficult problems encountered in the vorticity-based methods is the introduction of the proper value-value of vorticity or vorticity flux at the solid surface. A practical computational technique toward solving this problem is presented in connection with the coupling between the vorticity and the pressure boundary conditions. Numerical schemes based on an iterative procedure are employed to solve the governing equations with the boundary conditions for the three variables. A finite volume method is implemented to integrate the vorticity transport equation with the dynamic vorticity boundary condition . The velocity field is obtained by using the Biot-Savart integral derived from the mathematical vector identity. Green's scalar identity is used to solve the total pressure in an integral approach similar to the surface panel methods which have been well-established for potential flow analysis. The calculated results with the present mettled for two test problems are compared with data from the literature in order for its validation. The first test problem is one for the two-dimensional square cavity flow driven by shear on the top lid. Two cases are considered here: (i) one driven both by the specified non-uniform shear on the top lid and by the specified body forces acting through the cavity region, for which we find the exact solution, and (ii) one of the classical type (i.e., driven only by uniform shear). Secondly, the present mettled is applied to deal with the early development of the flow around an impulsively started circular cylinder.

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두 개의 서로 다른 압전재료층 사이의 기능경사압전재료 접합층 내부 균열에 대한 과도응답 해석 (Transient Response of a Crack in a Functionally Graded Piezoelectric Strip between Two Dissimilar Piezoelectric Strip)

  • 신정우;이영신;김성준
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2013년도 추계학술대회 논문집
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    • pp.206-213
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    • 2013
  • 본 논문에서는 적분변환법을 이용하여 면외전단 충격하중이 작용하는 두 개의 서로 다른 압전재료층 사이의 기능경사압전재료 접합층 내부 균열에 대한 과도응답 해석 을 수행한다. 기능경사압전재료의 물성치는 두께 방향을 따라 연속적으로 변하는 것으로 가정한다. 라플라스 변환과 푸리에 변환을 이용하여 문제를 복합적분방정식으로 구성하고, 수치해석을 위해 복합적 분방정식을 제 2 종 프레드홀름 적분방정식으로 표현한다. 전기적 하중, 재료물성 치의 변화율, 각 접합층의 두께가 균열의 과도응답에 미치는 영향을 보기 위해 동에너지 해방률에 대한 수치해석 결과를 제시한다.

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Analyzing the contact problem of a functionally graded layer resting on an elastic half plane with theory of elasticity, finite element method and multilayer perceptron

  • Yaylaci, Murat;Yayli, Mujgen;Yaylaci, Ecren Uzun;Olmez, Hasan;Birinci, Ahmet
    • Structural Engineering and Mechanics
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    • 제78권5호
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    • pp.585-597
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    • 2021
  • This paper presents a comparative study of analytical method, finite element method (FEM) and Multilayer Perceptron (MLP) for analysis of a contact problem. The problem consists of a functionally graded (FG) layer resting on a half plane and pressed with distributed load from the top. Firstly, analytical solution of the problem is obtained by using theory of elasticity and integral transform techniques. The problem is reduced a system of integral equation in which the contact pressure are unknown functions. The numerical solution of the integral equation was carried out with Gauss-Jacobi integration formulation. Secondly, finite element model of the problem is constituted using ANSYS software and the two-dimensional analysis of the problem is carried out. The results show that contact areas and the contact stresses obtained from FEM provide boundary conditions of the problem as well as analytical results. Thirdly, the contact problem has been extended based on the MLP. The MLP with three-layer was used to calculate the contact distances. Material properties and loading states were created by giving examples of different values were used at the training and test stages of MLP. Program code was rewritten in C++. As a result, average deviation values such as 0.375 and 1.465 was obtained for FEM and MLP respectively. The contact areas and contact stresses obtained from FEM and MLP are very close to results obtained from analytical method. Finally, this study provides evidence that there is a good agreement between three methods and the stiffness parameters has an important effect on the contact stresses and contact areas.

정위방사선치료 시 적분 생물학적 유효선량 및 방사선조사용적을 이용한 Total Arc Degree의 최적화 (Optimization of Total Arc Degree for Stereotactic Radiotherapy by Using Integral Biologically Effective Dose and Irradiated Volume)

  • 임도훈;이명자;전하정;김대용
    • Radiation Oncology Journal
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    • 제19권2호
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    • pp.199-204
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    • 2001
  • 목적 : 정위방사선치료 시 정상 뇌 조직을 고선량의 방사선으로부터 최대한 보호하며 치료의 효율성을 높이기 위하여 치료 인자 중 콜리메이터의 크기와 arc 간 간격에 따른 이상적인 total arc degree (TAD) 값을 제시하고자 한다. 대상 및 방법 : XKnife-3 planning system을 사용하여 환자의 송과체 부위에 방사선 빔의 회전중심점을 위치시킨 후 12, 20, 30, 40, 50 그리고 60 mm 직경의 정위방사선치료용 원형 콜리메이터를 이용하여 각각의 콜리메이터 직경별로 TAD를 100, 200, 300, 400, 500, 600도, 그리고 arc 간 간격을 30도(6-arc system)와 45도(4-arc system)로 설정하여 방사선치료계획을 수립하였다. 치료계획을 통해 얻은 누적선량체적히스토그람을 이용하여 회전중심점 처방선량의 $50\%$ 이상 조사되는 정상 뇌의 용적$(V_{50})$ 및 적분 생물학적 유효선량(integral biologically effective dose)을 이용하여 각각의 TAD에 따른 방사선치료계획을 비교하였다. 결과 : TAD에 따른 $V_{50}$의 변화는 arc 간 각도가 30도인 경우에는 콜리메이터 직경과 관계없이 TAD가 증가할수록 감소하는 양상을 보였으나, 45도의 arc 간 각도에서는 400도의 TAD까지는 감소하다가 400도 이상의 TAD에서 $V_{50}$은 증가하거나 변화가 없었다. 적분 생물학적 유효선량 값의 변화는 arc 간 간격이 30도인 경우에는 콜리메이터의 직경에 관계없이 TAD가 증가함에 따라 미소하게 감소하는 양상을 보였다. arc 간 각도가 45도인 경우에는 콜리메이터 직경이 40 mm 이하에서는 TAD가 증가함에 따라 적분 생물학적 유효선량은 계속 감소하였으나, 50 mm와 60 mm 직경의 콜리메이터에서는 TAD가 400도까지는 감소하다가 500도 이상의 TAD에서는 증가하였다. 결론 : 정위방사선치료 시 400도 정도의 TAD를 사용하는 것은 300도 이하 혹은 500도 이상의 TAD를 사용하는 것 보다 치료 효과를 높이면서 치료계획과 치료 시 장비 및 인적 자원의 효율적인 운용을 기대할 수 있을 것으로 판단된다.

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SOME CLASSES OF MULTIVALENT FUNCTIONS WITH NEGATIVE COEFFICIENTS I

  • AUOF, M.K.;DARWISH, H.E.
    • 호남수학학술지
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    • 제16권1호
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    • pp.119-135
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    • 1994
  • Let $Q_{n+p-1}(\alpha)$ denote the- dass of functions $$f(z)=z^{P}-\sum_{n=0}^\infty{a_{(p+k)}z^{p+k}$$ ($a_{p+k}{\geq}0$, $p{\in}N=\left{1,2,{\cdots}\right}$) which are analytic and p-valent in the unit disc $U=\left{z:{\mid}z:{\mid}<1\right}$ and satisfying $Re\left{\frac{D^{n+p-1}f(\approx))^{\prime}}{pz^{p-a}\right}>{\alpha},0{\leq}{\alpha}<1,n>-p,z{\in}U.$ In this paper we obtain sharp results concerning coefficient estimates, distortion theorem, closure theorems and radii of p-valent close-to- convexity, starlikeness and convexity for the class $Q_{n+p-1}$ ($\alpha$). We also obtain class preserving integral operators of the form $F(z)=\frac{c+p}{z^{c}}\int_{o}^{z}t^{c-1}f(t)dt.$ c>-p $F\left(z\right)=\frac{c+p}{z^{c}}\int_{0}^{z} t^{c-1}f\left(t \right)dt. \qquad c>-p$ for the class $Q_{n+p-1}$ ($\alpha$). Conversely when $F(z){\in}Q_{n+p-1}(\alpha)$, radius of p-valence of f(z) has been determined.

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NaCl/H3PO4 내염화 처리가 라이오셀 섬유의 열 안정 및 내산화 특성에 미치는 영향 (Effects of NaCl/H3PO4 Flame Retardant Treatment on Lyocell Fiber for Thermal Stability and Anti-oxidation Properties)

  • 김은애;배병철;이철위;전영표;이영석;인세진;임지선
    • 공업화학
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    • 제25권4호
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    • pp.418-424
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    • 2014
  • 본 연구에서는 NaCl/$H_3PO_4$ 혼합수용액을 사용하여 라이오셀 섬유의 내염화 처리를 수행하고 이에 따른 열 안정성과 내산화성의 향상 효과를 고찰하였다. 라이오셀 섬유를 다양한 공정조건으로 내염화 처리한 후 열 안정성과 내산화성을 측정 및 분석하고 그에 따른 메커니즘을 제시하였다. 실험결과, 내염화 처리된 라이오셀 섬유의 적분 열분해 온도(integral procedural decomposition temperature, IPDT)와 한계산소지수(limited oxygen index, LOI)는 약 23, 30% 증가하였으며, 활성화 에너지(activation energy, $E_a$) 값은 약 24% 향상된 것을 알 수 있었다. 이러한 결과는 $H_3PO_4$와 NaCl가 연소시 에스테르화 반응, 탈수소화 반응 및 C-C결합의 분해반응으로 char 형성을 촉진하고 섬유 표면에 형성된 탄소 층을 형성함으로써, 고분자 수지 내부로 산소와 열 공급을 물리적으로 차단하여 열 안정성과 내산화성이 향상된 것으로 판단된다. 이러한 결과를 바탕으로, NaCl/$H_3PO_4$ 혼합수용액을 이용한 내염화 처리 공정의 최적화된 인자 및 메커니즘을 제시하였고 열 안정성과 내산화성이 향상된 라이오셀을 성공적으로 제조하였다.

Lp-ESTIMATES FOR THE ${\bar{\partial}}$-EQUATION WITH EXACT SUPPORT ON q-CONVEX INTERSECTIONS

  • Khidr, Shaban
    • 대한수학회지
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    • 제55권1호
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    • pp.29-42
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    • 2018
  • We construct bounded linear integral operators that giving solutions to the ${\bar{\partial}}$-equation in $L^p$-spaces and with compact supports on a q-convex intersection ($q{\geq}1$) with ${\mathcal{C}}^3$ boundary in $K{\ddot{a}}hler$ manifolds, and we apply it to obtain a Hartogs-like extension theorems for ${\bar{\partial}}$-closed forms for some bidegree.