• Title/Summary/Keyword: Analytical calculation

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온도분포 해석 해와 유한요소법을 이용한 대형 강판의 용접변형 해석 (Analysis of Welding Distortion of Large Steel Plate by Using Analytical Solution of Temperature Distribution and Finite Element Method)

  • 홍성빈;배강열;양영수
    • Journal of Welding and Joining
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    • 제32권4호
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    • pp.69-74
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    • 2014
  • Welding distortions of large steel structures had mainly been estimated with some simplified formula obtained by lots of experience and numerical analyses for small steel structures. However, the large structures would have different characteristics of distortion with welding because of their own stiffness coming from the size itself. Therefore, in order to find some measures for preventing welding distortion of large structure, it is requite in advance to precisely analysis thermal stress and distortion during welding of the structure. Numerical analysis for larger structure has been known to take large amount of calculation time and have a poor convergency problem during the thermo-elasto-plastic calculation. In this study, a hybrid method is proposed to analysis the thermal stress and distortion of a large steel plate with the finite element analysis by incorporating with temperature distribution of the plate calculated by an analytical solution. The proposed method revealed that the thermo-mechanical analysis for welding of the large structure could be performed with a good convergence and produced precise results with much reduced time consumption.

Experimental and finite element studies of special-shape arch bridge for self-balance

  • Lu, Pengzhen;Zhao, Renda;Zhang, Junping
    • Structural Engineering and Mechanics
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    • 제35권1호
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    • pp.37-52
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    • 2010
  • Special-shape arch bridge for self-balance (SBSSAB) in Zhongshan City is a kind of new fashioned spatial combined arch bridge composed of inclined steel arch ribs, curved steel box girder and inclined suspenders, and the mechanical behavior of the SBSSAB is particularly complicated. The SBSSAB is aesthetic in appearance, and design of the SBSSAB is artful and particular. In order to roundly investigate the mechanical behavior of the SBSSAB, 3-D finite element models for spatial member and shell were established to analyze the mechanical properties of the SBSSAB using ANSYS. Finite element analyses were conducted under several main loading cases, moreover deformation and strain values for control section of the SBSSAB under several main loading cases were proposed. To ensure the safety and rationality for optimal design of the SBSSAB and also to verify the reliability of its design and calculation theories, the 1/10 scale model tests were carried out. The measured results include the load checking calculation, lane loading and crowd load, and dead load. A good agreement is achieved between the experimental and analytical results. Both experimental and analytical results have shown that the SBSSAB is in the elastic state under the planned test loads, which indicates that the SBSSAB has an adequate load-capacity. The calibrated finite-element model that reflects the as-built conditions can be used as a baseline for health monitoring and future maintenance of the SBSSAB.

개선된 위상 측정 알고리즘과 오차 해석 (An Advanced Phase Angle Measurement Algorithm And Error Analysis)

  • 송영석;김재철;최인규;박종식
    • 전자공학회논문지SC
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    • 제41권3호
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    • pp.25-32
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    • 2004
  • 본 논문에서는 두 개의 사인파 신호의 위상 차이를 계산해 내기위한 개선된 위상 측정 알고리즘을 제안하였다. 이 알고리즘은 두 개의 입력신호의 양자화된 샘플링 데이터를 사용하여 위상과 크기를 구해낸다. 측정 알고리즘의 중요 파라메타들은 몇개의 해석식으로 표현되기 때문에 위상을 계산하기 위해 필요한 연산량이 상당히 줄어들고 따라서 더 빠른 속도로 위상을 계산해 낼 수 있게 되었다. 또한 본 논문에서 제시한 알고리즘을 사용하여 입력신호의 한주기 전체를 샘플링할 경우에는 입력신호에 harmonic distortion이 발생하더라도 위상 측정 오차가 전혀 발생하지 않음을 수식으로 증명하였으며 컴퓨터 시뮬레이션을 통하여 이를 확인하였다. 그리고 입력신호에 가우시안 백색 잡음(white gaussian noise)이 발생할 경우에 위상 측정 오차가 얼마나 발생하는 지에 대하여 여러 가지 관점에서 컴퓨터 시뮬레이션을 수행하고 그 결과를 분석하였다.

Analytical model for estimation of digging forces and specific energy of cable shovel

  • Stavropoulou, M.;Xiroudakis, G.;Exadaktylos, G.
    • Coupled systems mechanics
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    • 제2권1호
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    • pp.23-51
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    • 2013
  • An analytical algorithm for the estimation of the resistance forces exerted on the dipper of a cable shovel and the specific energy consumed in the cutting-loading process is presented. Forces due to payload and to cutting of geomaterials under given initial conditions, cutting trajectory of the bucket, bucket's design, and geomaterial properties are analytically computed. The excavation process has been modeled by means of a kinematical shovel model, as well as of dynamic payload and cutting resistance models. For the calculation of the cutting forces, a logsandwich passive failure mechanism of the geomaterial is considered, as has been found by considering that a slip surface propagates like a mixed mode crack. Subsequently, the Upper-Bound theorem of Limit Analysis Theory is applied for the approximate calculation of the maximum reacting forces exerted on the dipper of the cable shovel. This algorithm has been implemented into an Excel$^{TM}$ spreadsheet to facilitate user-friendly, "transparent" calculations and built-in data analysis techniques. Its use is demonstrated with a realistic application of a medium-sized shovel. It was found, among others, that the specific energy of cutting exhibits a size effect, such that it decreases as the (-1)-power of the cutting depth for the considered example application.

Dynamic analysis and model test on steel-concrete composite beams under moving loads

  • Hou, Zhongming;Xia, He;Wang, Yuanqing;Zhang, Yanling;Zhang, Tianshen
    • Steel and Composite Structures
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    • 제18권3호
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    • pp.565-582
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    • 2015
  • This paper is concerned with the dynamic analysis of simply-supported steel-concrete composite beams under moving loads. Considering the interface slip between steel girder and concrete slab, the governing motion equations are derived from the direct balanced method. By variable separation approach, the analytical solution of natural frequencies and mode shapes are obtained, as well as the orthogonal conditions. Then the dynamic responses of the composite beam under moving loads are analyzed, and compared with the experimental results. The analysis results show that the governing motion equations become more complicated when interface slip is taken into account, and the dynamic behaviors are significantly influenced by the shear connection stiffness. In the dynamic calculation of composite beams, the global stiffness should not be reduced as the same factor to all orders, but as different ones according to the dynamic stiffness reduction factor (DSRF), to which should be paid more attention in calculation, design and experiment, or else great deviation is inevitable.

Experimental and analytical study on continuous GFRP-concrete decks with steel bars

  • Tong, Zhaojie;Chen, Yiyan;Huang, Qiao;Song, Xiaodong;Luo, Bingqing;Xu, Xiang
    • Structural Engineering and Mechanics
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    • 제76권6호
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    • pp.737-749
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    • 2020
  • A hybrid bridge deck is proposed, which includes steel bars, concrete and glass-fiber-reinforced-polymer (GFRP) plates with channel sections. The steel bar in the negative moment region can increase the flexural stiffness, improve the ductility, and reduce the GFRP ratio. Three continuous decks with different steel bar ratios and a simply supported deck were fabricated and tested to study the mechanical performance. The failure mode, deflection, strain distribution, cracks and support reaction were tested and discussed. The steel bar improves the mechanical performance of continuous decks, and a theoretical method is proposed to predict the deformation and the shear capacity. The experimental results show that all specimens failed with shear failure in the positive moment region. The increase of steel bar ratio in the negative moment region can achieve an enhancement in the flexural stiffness and reduce the deflection without increasing GFRP. Moreover, the continuous deck can achieve a yield load, and the negative moment can be carried by GFRP plates after the steel bar yields. Finally, a nonlinear analytical method for the deflection calculation was proposed and verified, with considering the moment redistribution, non-cracked sections and nonlinearity of material. In addition, a simplified calculation method was proposed to predict the shear capacity of GFRP-concrete decks.

Seismic performance of beam-to- SST column connection with external diaphragm

  • Rong, Bin;Yin, Shuhao;Zhang, Ruoyu;Wang, Lei;Yang, Ziheng;Li, Hongtao;Wan, Wenyu
    • Steel and Composite Structures
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    • 제37권6호
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    • pp.633-647
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    • 2020
  • This paper aims to study the seismic performance of external diaphragm connection between SST (square steel tube) column and H-shaped beam through experimental and analytical study involving finite element (FE) method and theoretical analysis. In the experimental study, three external diaphragm connection specimens with weak panel zone were tested under axial pressure on the top of the column and antisymmetric cyclic loads at the beam end to investigate the seismic performance of the panel zone. The hysteretic behavior, failure mode, stiffness and ductility of the specimens were discussed. Key point to be explored was the influence of the thickness of the steel tube flange on the shear capacity of the specimens. In the analytical study, three simplified FE models were developed to simulate the seismic behavior of the specimens for further analysis on the influence of steel tube flange. Finally, four existing calculation formulas for the shear capacity of the external diaphragm connection were evaluated through comparisons with the results of experiments and FE analysis, and application suggestions were put forward.

Analytical Solutions for the Inelastic Lateral-Torsional Buckling of I-Beams Under Pure Bending via Plate-Beam Theory

  • Zhang, Wenfu;Gardner, Leroy;Wadee, M. Ahmer;Zhang, Minghao
    • 국제강구조저널
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    • 제18권4호
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    • pp.1440-1463
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    • 2018
  • The Wagner coefficient is a key parameter used to describe the inelastic lateral-torsional buckling (LTB) behaviour of the I-beam, since even for a doubly-symmetric I-section with residual stress, it becomes a monosymmetric I-section due to the characteristics of the non-symmetrical distribution of plastic regions. However, so far no theoretical derivation on the energy equation and Wagner's coefficient have been presented due to the limitation of Vlasov's buckling theory. In order to simplify the nonlinear analysis and calculation, this paper presents a simplified mechanical model and an analytical solution for doubly-symmetric I-beams under pure bending, in which residual stresses and yielding are taken into account. According to the plate-beam theory proposed by the lead author, the energy equation for the inelastic LTB of an I-beam is derived in detail, using only the Euler-Bernoulli beam model and the Kirchhoff-plate model. In this derivation, the concept of the instantaneous shear centre is used and its position can be determined naturally by the condition that the coefficient of the cross-term in the strain energy should be zero; formulae for both the critical moment and the corresponding critical beam length are proposed based upon the analytical buckling equation. An analytical formula of the Wagner coefficient is obtained and the validity of Wagner hypothesis is reconfirmed. Finally, the accuracy of the analytical solution is verified by a FEM solution based upon a bi-modulus model of I-beams. It is found that the critical moments given by the analytical solution almost is identical to those given by Trahair's formulae, and hence the analytical solution can be used as a benchmark to verify the results obtained by other numerical algorithms for inelastic LTB behaviour.

선량계산 및 최적화 알고리즘에 따른 치료계획의 영향 분석 (Analysis of Radiation Treatment Planning by Dose Calculation and Optimization Algorithm)

  • 김대섭;윤인하;이우석;백금문
    • 대한방사선치료학회지
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    • 제24권2호
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    • pp.137-147
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    • 2012
  • 목 적: 알고리즘에 따른 치료계획의 영향을 분석하고 실제 치료계획을 수립할 때 고려사항을 적용하고, 나아가 최선의 치료계획을 수립하는 프로토콜을 제시하고자 한다. 대상 및 방법: 치료계획 시스템은 이클립스 10.0 (Eclipse 10.0, Varian, USA)이다. 선량계산의 알고리즘은 PBC (Pencil Beam Convolution)와 AAA (Anisotropic Analytical Algorithm)을 각각 적용하였고, 세기 조절 방사선 치료(IMRT)를 위한 최적화(Optimization) 알고리즘은 DVO (Dose Volume Optimizer 10.0.28), VMAT을 위한 최적화 알고리즘은 PRO II (Progressive Resolution Optimizer V 8.9.17)와 PRO III (Progressive Resolution Optimizer V 10.0.28)을 사용하였다. 실험을 위한 팬텀은 치료계획시스템에서 가상으로 만들었으며, $30{\times}30{\times}30$ cm의 규격에 밀도가 균일한 것(HU: 0)과 중간에 공기(HU: -1,000)로 가정되는 물질이 삽입한 된 비균질 팬텀으로 설정하였다. 실험은 먼저 팬텀(Phantom) 계획을 실시하여 일반적인 치료계획의 특징을 분석하고 그 내용을 토대로 실제 임상적용 할 치료계획을 수립하였다. 결 과: 균일한 밀도 팬텀에서 6 MV, 10 cm PDD (Percentage Depth Dose)는 PBC와 AAA는 모두 65.2%로 유사한 값을 나타냈지만, 비균질 팬텀에서 PDD는 저밀도 물질을 만나기 전까진 유사한 PDD 값을 보이다가 공기 영역에서 다른 선량곡선을 보여주고, 투과한 후에는 PDD 10 cm은 각각 75%, 73%이었다. 동일한 MU의 3차원 치료계획에서 보면, AAA 치료계획이 폐가 포함된 영역에서 저 선량으로 나타났다. 기관지와 폐의 영역이 포함된 경추 치료 환자의 2차원 대향 2문조사 치료계획을 15 MV을 이용하여 설계하였을 때, Conformity Index (ICRU 62)는 PBC 계산에서 0.95, AAA에서 0.93이었다. IMRT 치료계획은 DVO에서 보여지는 DVH가 선량계산 DVH와 동일하게 나타났다. 하지만 AAA으로 선량계산을 하였을 때는 DVO에서 조건을 만족하는 결과가 선량계산에서는 선량부족으로 나타났다. PRO II을 이용한 VMAT 치료계획은 최적화 할 때는 만족스런 결과를 얻었지만, 선량계산을 실시하였을 때는 저밀도 영역이 선량 부족으로 나타났다. 하지만 PRO III에서 같은 조건을 1회 더 최적화함으로써 최적화 결과와 선량계산 결과가 유사하였다. 결 론: 본 연구에서는 선량계산 알고리즘의 옳고 그름을 판단하지 않는다. 알고리즘이 나타내는 선량 분포의 특성을 분석하고, 특히 최적화가 필요한 IMRT나 VMAT 치료계획에서 최적화 알고리즘의 요인도 치료계획을 수립할 때 고려함으로써 최적의 치료계획을 위한 방법을 제시하고자 한다.

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프리스트레스트 콘크리트 슬래브의 내화성능 예측에 대한 해석적 연구 (Analytical Study on Fire Resistance Predictions of Prestressed Concrete Slabs)

  • 민정기;박민재;주영규
    • 한국공간구조학회논문집
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    • 제17권1호
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    • pp.69-75
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    • 2017
  • In fire design for floors, the three criteria of stability, integrity and insulation are required for the specified fire resistance duration. Among these, stability is not easy to confirm. For solid prestressed concrete slabs of uniform thickness, Eurocode 2 provides tabulated data and specifies an axis distance to the centroid of strands to achieve particular fire resistance ratings, but it is not clear if this data can be used for a wide range of different prestressed slab profiles. In order to verify the current code-fire ratings for precast prestressed slabs, both simple and advanced calculation methods are investigated. This paper examines the use of calculation methods, accounting for the real behaviour of unprotected simply supported prestressed concrete slabs exposed to the standard ISO 834 fire. The calculated fire resistance of each prestressed concrete slab is compared with tabulated data in Eurocode part 1.2, with detailed discussion.