• 제목/요약/키워드: Spatial moments

검색결과 80건 처리시간 0.024초

Structural Evaluation and Remediation of Floor Slab Deflection

  • Park, Ki-Dong;Kim, Dae-Young;Joung, Dae-Ki
    • 한국공간구조학회:학술대회논문집
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    • 한국공간구조학회 2008년도 춘계 학술발표회 논문집
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    • pp.61-65
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    • 2008
  • A 4-story reinforced concrete structure built above an underground parking garage shows some slab deflections, and the deflections of the concrete floor slabs are proposed to be alleviated by the application of light-weight topping material in conjunction with localized strengthening of the slabs. The application of light-weight concrete topping on the existing slab has been simulated and its performance to anticipated loads has been analyzed. The application of light-weight topping material imposes additional weight on the exiting floor slabs. This added weight on the existing slabs causes over-stressing of the slabs. This over-stressing can be alleviated by enhancing the load carrying capacity of the existing slabs. Additional load carrying capacity in the existing slabs can be developed by localized strengthening of the slabs utilizing techniques such as the application of fiber-reinforced composites on the bottom surface of the slabs, and application of fiber-reinforced composites adequately complements the capacity of the existing slabs to bear the additional load imposed by light-weight leveling material. Additional moments in the beam and columns induced by the application of the light-weight topping material were tabulated and compared with capacity. The moment D/C ratios of the beam and columns are well the range of acceptable limits, and the beam and columns are not overstressed by the application of the surcharge.

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새로운 Closed-Form 그린함수에 근거를 둔 MoM 행렬 요소의 해석적 계산 (Analytical Evaluation of MoM Matrix Elements Based upon a New Closed-Form Greenos Functions)

  • 김의중;이상준;이영순
    • 한국전자파학회논문지
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    • 제15권5호
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    • pp.499-508
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    • 2004
  • 마이크로스트립 구조체를 해석하는데 있어, 행렬 요소를 해석적으로 계산할 수 있는 효율적인 모멘트법이 제안된다. 본 논문의 모멘트법에서는 공간영역 그린함수로 Bessel 함수의 반 무한구간 정적분에 관한 공식에 근거하여 유도된 새로운 형태의 closed-form 그린함수를 사용한다. 본 논문의 모멘트법을 사용할 경우 기존의 모멘트법의 사용에 비해, 계산량 및 계산 속도와 같은 수치계산 효율 측면에서 약 4배 정도로 개선됨을 알 수 있었다. 본 논문이 제안하는 방법의 타당성을 확인하기 위하여 몇 가지 수치해석 결과를 제시한다.

모멘트법을 이용한 마이크로스트립 패취 안테나의 특성 해석 (The Analysis of Characteristic of Microstrip Patch Antenna Using Moment Method)

  • 정재훈;이홍배;천창율;정현교;한송엽
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1995년도 추계학술대회 논문집 학회본부
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    • pp.46-48
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    • 1995
  • An efficient technique for the analysis of a general class of microstrip structures with a substrate is applied in this paper using newly-derived closed-form spatial domain Green's functions employed in conjunction with the Method of Moments(MoM). The computed current distributions on the microstrip structures are used to determine the scattering parameters of microstrip discontinuties and the input impedances of microstrip patch antennas. It is shown that the use of the closed-form Green's functions in the context of the MoM provides a computational advantage in terms of the CPU time by almost two orders of magnitude over the conventional spectral domain approach employing the transformed version of the Green's functions.

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Study on design parameters of leaning-type arch bridges

  • Li, Ying;Xiao, Ru-Cheng;Sun, Bin
    • Structural Engineering and Mechanics
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    • 제64권2호
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    • pp.225-232
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    • 2017
  • Leaning-type arch bridge is a new spatial structural system composed of two vertical arches and two leaning arches. So far there has been no contrast analysis of leaning type arch bridge with different systems. This paper focus on a parametric study of leaning type arch bridge with different systems to find the influential rules on structural forces and stability and to provide some reference for practical designs. The parametric analysis is conducted with different rise-to-span ratios and bending rigidities of arch ribs by comparing internal forces. The internal forces decline obviously with the increase of the rise-to-span ratio. The bending moments at the centers of the main arches and the leaning arches are sensitive to the bending rigidities of arch ribs. Parametric studies are also carried out with different structural systems and leaning angles of the leaning arch by comparing the static stability. The lateral stiffness of leaning-type arch bridge is less than the in-plan stiffness. Compared with the leaning-type arch bridge without thrust, the leaning-type arch bridge with thrust has a lower stability safety coefficient. The stability safety coefficient rises gradually with the increase of inclining angle of the leaning arch. This study shows that the rise-to-span ratio, bending rigidities of arch ribs, structural system and leaning angles of the leaning arch are all critical design parameters. Therefore, these parameters in unreasonable range should be avoided.

병렬화된 Chimera 격자 기법을 이용한 다단 로켓의 단분리 운동 해석 (Numerical Analysis on Separation Dynamics of Multi-stage Rocket System Using Parallelized Chimera Grid Scheme)

  • 고순흠;최성진;김종암;노오현;박정주
    • 한국전산유체공학회:학술대회논문집
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    • 한국전산유체공학회 2002년도 춘계 학술대회논문집
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    • pp.47-52
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    • 2002
  • The supersonic flow around multi-stage rocket system is analyzed using 3-D compressible unsteady flow solver. A Chimera overset grid technique is used for the calculation of present configuration and grid around the core rocket is composed of 3 zones to represent fins in the core rocket. Flow solver is parallelized to reduce the computation time, and an efficient parallelization algorithm for Chimera grid technique is proposed. AUSMPW+ scheme is used for the spatial discretization and LU-SGS for the time integration. The flow field around multi-stage rocket was analyzed using this developed solver, and the results were compared with that of a sequential solver The speed-up ratio and the efficiency were measured in several processors. As a result, the computing speed with 12 processors was about 10 times faster than that of a sequential solver. Developed flow solver is used to predict the trajectory of booster in separation stage. From the analyses, booster collides against core rocket in free separation case. So, additional jettisoning forces and moments needed for a safe separation are examined.

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Mechanical performance and design optimization of rib-stiffened super-wide bridge deck with twin box girders in concrete

  • Wen, Xiong;Ye, Jianshu;Gai, Xuemei;Cai, C.S.
    • Structural Engineering and Mechanics
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    • 제48권3호
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    • pp.395-414
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    • 2013
  • The present study fundamentally investigated the mechanical performance of the rib-stiffened super-wide bridge deck with twin box girders in concrete, which is a very popular application to efficiently widen the bridges with normal span. The shear lag effects of the specific cross-sections were firstly studied. The spatial stress distribution and local stiffness of the bridge deck with twin box girders were then investigated under several typical wheel load conditions. Meanwhile, a comparative study for the bridge deck with and without stiffening ribs was also carried out during the investigation; thereby, a design optimization for the stiffening ribs was further suggested. Finally, aiming at the preliminary design, an approximate methodology to manually calculate the bending moments of the rib-stiffened bridge deck was analytically proposed for engineers to quickly assess its performance. This rib-stiffened bridge deck with twin box girders can be widely applied for concrete (especially concrete cable-stayed) bridges with normal span, however, requiring a super-wide bridge width due to the traffic flow.

Analysis of C5G7-TD benchmark with a multi-group pin homogenized SP3 code SPHINCS

  • Cho, Hyun Ho;Kang, Junsu;Yoon, Joo Il;Joo, Han Gyu
    • Nuclear Engineering and Technology
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    • 제53권5호
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    • pp.1403-1415
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    • 2021
  • The transient capability of a SP3 based pin-wise core analysis code SPHINCS is developed and verified through the analyses of the C5G7-TD benchmark. Spatial discretization is done by the fine mesh finite difference method (FDM) within the framework of the coarse mesh finite difference (CMFD) formulation. Pin size fine meshes are used in the radial fine mesh kernels. The time derivatives of the odd moments in the time-dependent SP3 equations are neglected. The pin homogenized group constants and Super Homogenization (SPH) factors generated from the 2D single assembly calculations at the unrodded and rodded conditions are used in the transient calculations via proper interpolation involving the approximate flux weighting method for the cases that involve control rod movement. The simplifications and approximations introduced in SPHINCS are assessed and verified by solving all the problems of C5G7-TD and then by comparing with the results of the direct whole core calculation code nTRACER. It is demonstrated that SPHINCS yields accurate solutions in the transient behaviors of core power and reactivity.

기능경사재료 변단면 보에서 축방향 탄성계수의 공간적 불확실성에 의한 응답변화도 평가 (Evaluation of Response Variability of Functionally Graded Material Beam with Varying Sectional Area due to Spatial Randomness in Elastic Modulus along Axial Direction)

  • 노혁천
    • 한국전산구조공학회논문집
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    • 제27권3호
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    • pp.199-206
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    • 2014
  • 본 논문에서는 변단면 기능경사재료 보에서 중립면 탄성계수가 축방향을 따라 공간적 불확실성을 가질 경우에 대한 구조 응답변화도 산정을 위한 정식화에 대해 논한다. 기능경사재료는 두 이질재료의 체적비가 두께방향으로 연속적으로 변하며 고체화되는 과정으로 제작되는 재료로서 온도 및 응력 등에서 연속적인 변화를 가능하게 하여, 전통 복합재료에서 나타나는 층분리나 균열 발생 등이 제거되는 장점을 가지고 있다. 그러나 이론적으로 설정된 기능경사에 맞는 재료의 제작이 어려우며, 이에 따라 내재적인 불확실성을 가지고 있다. 이를 모사하기 위하여 중립면 탄성계수에서의 불확실성을 추계장으로 모델링하고, 추계적분에 의한 확률변수를 도입하여, 변위의 1, 2차모멘트를 산정할 수 있는 방법을 제시하였다. 제안된 해석 방법은 스펙트럼모사법을 적용한 몬테카를로 해석으로 검증하였다. 추계장의 상관관계거리에 따른 분산계수의 변화, 재료지수 및 기하인수가 변위의 분산계수에 미치는 영향 등을 고찰하였고, 몬테카를로 해석 대비 제안 해석법의 효율성에 대해서도 논하였다.

부산지역 확률강수량 결정에 따른 재현기간 및 분포도 분석 (An Estimation of Probable Precipitation and an Analysis of Its Return Period and Distributions in Busan)

  • 임윤규;문윤섭;김진석;송상근;황용식
    • 한국지구과학회지
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    • 제33권1호
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    • pp.39-48
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    • 2012
  • 본 연구에서는 부산지방기상청 장기 강수량 자료(1973-2007)를 이용하여 부산지역 확률강수량 및 이에 따른 재현 기간을 산정하였다. 확률강수량 산정에 있어서 확률가중모멘트법을 이용하여 매개변수를 추정하였고, $x^2$ 및 PPCC 검정을 통해 적합성분석을 실시하였다. 분석결과 최적의 확률분포형으로 GLO 모형을 채택하였다. 또한 AWS 자료를 이용하여 부산지역 확률강수량 분포도를 작성하였다. 6시간 지속강수량에 있어서 245.2 mm의 강수량이 100년 마다 발생할 수 있으며, 280.6 mm가 200년에 한번 정도 나타날 수 있다. 확률강수량 분포도 결과 1시간 지속강수일 경우 동래구에서 높은 값을 가지며, 3시간 지속강수는 부산연안 전반에 걸쳐 높게 나타나고 있다. 6시간 지속강수량일 경우는 부산진과 양산일대에서 높은 값을 나타내며 12시간 지속강수의 경우 남동연안지역과 웅상 일대에서 높은 값을 보이는 특징이 나타났다.

Solution of randomly excited stochastic differential equations with stochastic operator using spectral stochastic finite element method (SSFEM)

  • Hussein, A.;El-Tawil, M.;El-Tahan, W.;Mahmoud, A.A.
    • Structural Engineering and Mechanics
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    • 제28권2호
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    • pp.129-152
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    • 2008
  • This paper considers the solution of the stochastic differential equations (SDEs) with random operator and/or random excitation using the spectral SFEM. The random system parameters (involved in the operator) and the random excitations are modeled as second order stochastic processes defined only by their means and covariance functions. All random fields dealt with in this paper are continuous and do not have known explicit forms dependent on the spatial dimension. This fact makes the usage of the finite element (FE) analysis be difficult. Relying on the spectral properties of the covariance function, the Karhunen-Loeve expansion is used to represent these processes to overcome this difficulty. Then, a spectral approximation for the stochastic response (solution) of the SDE is obtained based on the implementation of the concept of generalized inverse defined by the Neumann expansion. This leads to an explicit expression for the solution process as a multivariate polynomial functional of a set of uncorrelated random variables that enables us to compute the statistical moments of the solution vector. To check the validity of this method, two applications are introduced which are, randomly loaded simply supported reinforced concrete beam and reinforced concrete cantilever beam with random bending rigidity. Finally, a more general application, randomly loaded simply supported reinforced concrete beam with random bending rigidity, is presented to illustrate the method.