• Title/Summary/Keyword: superposition

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An analytical approach for nonlinear response of elastic cable under complex loads

  • Lu, L.Y.;Chan, S.L.;Lu, Z.H.
    • Structural Engineering and Mechanics
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    • v.5 no.3
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    • pp.329-338
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    • 1997
  • In this paper a general analytical approach is proposed to analyse the nonlinear response of elastic cable under complex loads. The effect of temperature change on the cable is also considered. From the vertical equilibrium equations of cable, the general analytical formula of vertical displacement is derived. Based on the vertical displacement formula and on the compatibility condition of the cable, the dimensionless equation with respect to cable tension is established. By means of such analytical procedures, the exact solutions of various cable problems can be obtained quickly. The example given in this paper shows that the new procedure is efficient for practical analysis and can be easily implemented by a general computer program without the superposition problem which there has always been in traditional analytical methods.

The influence of different support movements and heights of piers on the dynamic behavior of bridges -Part I: Earthquake acting transversely to the deck

  • Michaltsos, George T.;Raftoyiannis, Ioannis G.
    • Interaction and multiscale mechanics
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    • v.2 no.4
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    • pp.431-454
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    • 2009
  • This paper presents a simple model for studying the dynamic response of multi-span bridges resting on piers with different heights and subjected to earthquake forces acting transversely to the bridge, but varying spatially along its length. The analysis is carried out using the modal superposition technique, while the solution of the resulting integral-differential equations is obtained via the Laplace transformation. It has been found that the piers' height and the quality of the foundation soil can affect significantly the dynamic behavior of such bridges. Typical examples showing the effectiveness of the method are presented with useful results listed.

Effects of Intramolecular Basis Set Superpositon Error on Conformational Energy Difference of 1,2-Difluoroethane and 1.2-Dimethoxyethane

  • Han, Young-Kyu;Kim, Kyoung-Hoon;Son, Sang-Kil;Lee, Yoon-Sup
    • Bulletin of the Korean Chemical Society
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    • v.23 no.9
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    • pp.1267-1271
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    • 2002
  • The conformation dependences of basis set superposition errors (BSSE) for 1,2-difluoroethane (DFE) and 1,2-dimethoxyethane (DME) molecules have been estimated using counterpoise method at the Moller-Plesset second order perturbation (MP2) level of theory with various basis sets, assuming that all BSSE dependences on conformations are due to the change in CC bond. The BSSE on the energy differences between eclipsed and gauche forms of DFE are in the range of 0.2-1.2 kcal/mol and those between local minima, gauche and anti forms, are less than 0.2 kcal/mol. For the larger DME molecule, the BSSE differences between local minima are still less than 0.4 kcal/mol, but may not be ignored compared to the energy differences of 0.2-3.0 kcal/mol between conformers.

Numerical Simulation of Directional Spreading Characteristics in a Snake Type Wave Generator considering Side Wall Reflection

  • Lee, Jin-Ho;Hirayama, Tsugukiyo
    • Journal of Ship and Ocean Technology
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    • v.4 no.1
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    • pp.28-36
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    • 2000
  • Numerical simulation based on the superposition of ring waves generated by the linear periodic source distributions for the plunger type wave maker was accomplished. The characteristics of directional spreading function were investigated. Mirror images are also introduced to consider reflections of side-wall together with the reflection coefficient to account for the imperfect reflection from the real side wall in the long experimental towing tank. Unexpected spurious waves, resulting from the combined effect of finite breadth of segmented wave maker, wavelength and main wave maker, wavelength and main wave propagating direction, were observed in the line source method and also in the analysis of the directivity. The influence of spurious waves to the directional spreading function was also investigated.

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Applying New Algorithm on AC Auto-Transformer Feeding System under Multiple Trains Operating (AT 교류 철도급전계통 내 다수 열차 운행시 새로운 계통해석 알고리즘 연구)

  • 전용주;추동욱;전명수;임성정;김재철
    • Proceedings of the KSR Conference
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    • 2000.11a
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    • pp.712-719
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    • 2000
  • This paper presents a new algorithm to analyze a train voltages of multi-trains in auto-transformer-fed AC railway systems, using electrical equivalent change. The train current will be divided into circulation and return currents, and these current values are the same. By evaluating each current independently, the result will be more precise. The train current flows through the all auto-transformer corresponding to track impedance. In analyzing the railway system, the algorithm is based on the K.C.L, K.V.L, superposition and circuit separation method. Multi-train's voltages are determined by calculating the catenary voltage at each train's position and adding up these train's voltage drop. Case studies use a field operational data, show that tile proposed method is easily applied.

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Modeling of the Maglev Vehicle Running over an elevated Guideway Using Flexible Multi-body Dynamics Based on the Model Superposition Method (모드중첩법을 이용한 자기부상열차/유연궤도 동적 모델링 연구)

  • Han, Hyung-Suk;Lee, Jong-Min;Kim, Young-Joong;Kim, Dong-Seong;Kim, Sook-Hee;Lee, Jae-Ik
    • Proceedings of the KSR Conference
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    • 2006.11a
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    • pp.229-238
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    • 2006
  • In general, the Maglev vehicle is run over an elevated guideway consisting of steel or concrete structure. Since the running behavior of the vehicle is affected by the flexibility of the guideway, the consideration of the flexibility of guideway is needed for evaluating the dynamics of both the vehicle and guideway. A new method based on flexible multibody dynamics is proposed to model the Maglew vehicle. This method combines the levitation controller, vehicle, and guideway into a coupled model To verify the method, an urban transit is analyzed using the method and discussions are carried out.

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Neural network simulator for semiconductor manufacturing : Case study - photolithography process overlay parameters (신경망을 이용한 반도체 공정 시뮬레이터 : 포토공정 오버레이 사례연구)

  • Park Sanghoon;Seo Sanghyok;Kim Jihyun;Kim Sung-Shick
    • Journal of the Korea Society for Simulation
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    • v.14 no.4
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    • pp.55-68
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    • 2005
  • The advancement in semiconductor technology is leading toward smaller critical dimension designs and larger wafer manufactures. Due to such phenomena, semiconductor industry is in need of an accurate control of the process. Photolithography is one of the key processes where the pattern of each layer is formed. In this process, precise superposition of the current layer to the previous layer is critical. Therefore overlay parameters of the semiconductor photolithography process is targeted for this research. The complex relationship among the input parameters and the output metrologies is difficult to understand and harder yet to model. Because of the superiority in modeling multi-nonlinear relationships, neural networks is used for the simulator modeling. For training the neural networks, conjugate gradient method is employed. An experiment is performed to evaluate the performance among the proposed neural network simulator, stepwise regression model, and the currently practiced prediction model from the test site.

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A Study on the Multi-Level Distribution Policy of High Demand Rate Goods. (수요율이 높은 제품의 다단계 분배정책에 관한 연구)

  • 유형근;김종수
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.17 no.31
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    • pp.59-72
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    • 1994
  • This paper deals with ordering policies of consumable goods which have large demand rates in a multi-level distribution system. The system we are concerned consists of one Central Distribution Center(CDC) and N non-identical Regional Distribution Centers(RDCs) which have different demand rates, minimum fillrates, leadtimes, etc. The customer demand on the RDC is stationary poisson and the RDCs demand on the CDC is superposition of Q-stage Erlang distributions. We approximate the RDCs and CDC demand distribution to nomal in order to enhance the efficiency of algorithm. The relevant costs include a fixed ordering cost and inventory holding cost, and backorder cost. The objective is to find a continuous-review ordering policy that minimizes the expected average costs under constraints of minimum fill rates of RDCs and maximum allowable mean delay of CDC. We developed an algorithm for determining the optimal ordering policies of the CDC and the RDCs. We verified and compared the performance of the algorithm through the simulation using the algorithm result as the input parameters.

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Fatigue Evaluation on the Inside Surface of Reactor Coolant Pump Casing Weld

  • Kim, Seung-Tae;Park, Ki-Sung
    • Proceedings of the Korean Nuclear Society Conference
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    • 1998.05b
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    • pp.795-801
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    • 1998
  • Metallic fatigue of Pressurized Water Reactor(PWR) materials is a generic safety issue for commercial nuclear power plants. It is very important to obtain the fatigue usage factor for component integrity and life extension. In this paper, fatigue usage was obtained at the inside surface of Kori unit 2, 3 and 4 RCP casing weld, based on the design transient. And it was intended to establish the procedure and the detailed method of fatigue evaluation in accordance with ASME Section III Code. According to this code rule, two methods to determine the stress cycle and the number of cycles could be applied. One method is the superposition of cycles of various design transients and the other is based on the assumption that a stress cycle correspond to only one design transient. Both method showed almost same fatigue usage in the RCP casing weld.

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Nonlinear characteristics of photodetectors for optical fiber power measurements (광섬유 출력 측정용 광검출기의 비선형성 평가 연구)

  • 이덕희;류지욱;서정철
    • Korean Journal of Optics and Photonics
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    • v.15 no.4
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    • pp.321-324
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    • 2004
  • We have composed an experimental system using the superposition method to measure the nonlinearity of photodetectors for optical fiber power measurements. Also we have measured the nonlinearity of a high power detector and of a low power detector. The two detectors have shown good linearity within 0.01% and 0.02%, respectively, in the 50 ㏈ dynamic range. These detectors are used as reference detectors in optical fiber characteristics measurements.