• 제목/요약/키워드: least energy solution

검색결과 62건 처리시간 0.024초

열전도가 주도적인 삼차원 접촉융해에 대한 비정상 해석 (Unsteady Analysis of the Conduction-Dominated Three-Dimensional Close-Contact Melting)

  • 유호선
    • 대한기계학회논문집B
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    • 제23권8호
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    • pp.945-956
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    • 1999
  • This work reports a set of approximate analytical solutions describing the initial transient process of close-contact melting between a rectangular parallelepiped solid and a flat plate on which either constant temperature or constant heat flux is imposed. Not only relative motion of the solid block tangential to the heating plate, but also the density difference between the solid and liquid phase is incorporated in the model. The thin film approximation reduces the force balance between the solid weight and liquid pressure, and the energy balance at the melting front into a simultaneous ordinary differential equation system. The normalized model equations admit compactly expressed analytical solutions which include the already approved two-dimensional solutions as a subset. In particular, the normalized liquid film thickness is independent of all pertinent parameters, thereby facilitating to define the transition period of close-contact melting. A unique behavior of the solid descending velocity due to the density difference is also resolved by the present solution. A new geometric function which alone represents the three-dimensional effect is introduced, and its properties are clarified. One of the representative results is that heat transfer is at least enhanced at the expense of the increase in friction as the cross-sectional shape deviates from the square under the same contact area.

Experimental Determination of Differential Fast Neutron Spectra in a Reactor using Threshold Detectors

  • Kim, Dong-Hoon
    • Nuclear Engineering and Technology
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    • 제4권4호
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    • pp.280-293
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    • 1972
  • 원자로(TRIGA MARK-II)노심의 특정위치에서 0.5 Mev 이상의 고속중성자 스펙트럼을 발단검출기(Threshold detector)를 사용하여 실험적으로 측정하였다. 발단검출기의 실험적인 방사화자료로서 결정되는 일련의 적분방정식에 대한 근사해를 얻기 위하여 최소자승법의 개념을 이용한 급수전개법을 사용하였다. 상이한 가중함수 (weighting function)를 사용하므로서 해답에 미치는 영향을 각측정에서 분석 검토하였다. 이방법의 사용에 관련되는 수치계산을 수행하기 위하여 UNIVAC 1106전자계산기를 위한 계산코드를 준비하였다. 본 연구에서 얻은 미분적 고속중성자 스펙트럼은 독립적으로 다군 수송이론에 의하여 얻은 결과와 잘 일치하였다.

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GROUND STATE SIGN-CHANGING SOLUTIONS FOR A CLASS OF SCHRÖDINGER-POISSON-KIRCHHOFF TYPEPROBLEMS WITH A CRITICAL NONLINEARITY IN ℝ3

  • Qian, Aixia;Zhang, Mingming
    • 대한수학회지
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    • 제58권5호
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    • pp.1181-1209
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    • 2021
  • In the present paper, we are concerned with the existence of ground state sign-changing solutions for the following Schrödinger-Poisson-Kirchhoff system $$\;\{\begin{array}{lll}-(1+b{\normalsize\displaystyle\smashmargin{2}{\int\nolimits_{{\mathbb{R}}^3}}}{\mid}{\nabla}u{\mid}^2dx){\Delta}u+V(x)u+k(x){\phi}u={\lambda}f(x)u+{\mid}u{\mid}^4u,&&\text{in }{\mathbb{R}}^3,\\-{\Delta}{\phi}=k(x)u^2,&&\text{in }{\mathbb{R}}^3,\end{array}$$ where b > 0, V (x), k(x) and f(x) are positive continuous smooth functions; 0 < λ < λ1 and λ1 is the first eigenvalue of the problem -∆u + V(x)u = λf(x)u in H. With the help of the constraint variational method, we obtain that the Schrödinger-Poisson-Kirchhoff type system possesses at least one ground state sign-changing solution for all b > 0 and 0 < λ < λ1. Moreover, we prove that its energy is strictly larger than twice that of the ground state solutions of Nehari type.

초지기 자동화 해법에 의한 운전비용 절감대책 (Cost savings for paper machines with automation solution packages)

  • Sorsa, Jukka
    • 한국펄프종이공학회:학술대회논문집
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    • 한국펄프종이공학회 2007년도 제32회 펄프종이기술 국제세미나
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    • pp.83-125
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    • 2007
  • Increasing energy costs have caused profitability problems for paper suppliers. Therefore unprofitable lines are being closed down. The actions aiming for improved profits are focused either on cost savings or on increasing the capacity of the remaining machines. The runnability of a paper machine and its total efficiency have a significant effect on energy consumption. Producing one ton of waste paper consumes at least as much energy as producing the same amount of sellable end product. New automation solutions enable significant cost-effective improvements to the total efficiency of a line without large investment projects. The measures focus on minimizing changes, interruptions, interruption recovery times and grade change times. Newest actuators, online quality measurements and wet end analysators create an improvement potential, which can be optimally implemented with the latest machine direction control solutions, based on model predictive control concepts. Equally, drying management is significant to the energy consumption. The newest control strategies optimize the use of various drying actuators for different situations; either by responding to changes as efficiently as possible or by using only the cheapest energy sources in stable situations. An even steam supply, which is vital for paper machines, is achieved with control for the power plant steam network. This makes possible to avoid the delays upon starting the paper machine and assure an even steam supply for the drying section and the actuators. This document describes means which have brought significant energy and raw material savings for paper machines. Metso Automation has provided efficiency improvement packages, which are usually based on optimized control of dry weight and drying in all running conditions. The solutions are based on performance analysis, on which the estimations for improvement potential and the necessary actions are based on. Typically benefits on an annual level have been from hundreds of thousands of euros to over one million euro. For example, variations in dry weight have been decreased more than 50%. The results are presented with a few examples. Additionally, the analysis models, adjustment solutions and the changes in running methods with which the results were achieved, are presented.

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에너지보행과 일반보행의 운동학적 비교 (The Kinematic Comparison of Energy Walking and Normal Walking)

  • 신제민;진영완
    • 한국운동역학회지
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    • 제16권4호
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    • pp.61-71
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    • 2006
  • The purpose of this study was to compare kinematic characteristics on the limbs at 3 different walking speed during the energy and the normal walking. Eight subjects performed energy walking and normal walking at the slow speed(65 beats/min), the normal speed(115beats/min), the fast speed(160 beats/min). The 3-d angle was calculated by vector projected with least squares solution with three-dimensional cinematography(Motion Analysis corporation). The range of motion was calculated on the trunk, shoulder, elbow, hip, knee joint. The results showed that stride length was no difference of the two walking pattern. The duration of support phase was also no difference of the two walking pattern. The range of motion of shoulder joint significantly increased in the sagittal and frontal planes, and the range of motion of elbow joint significantly increased as the energy walking. The range of motion of hip joint had no significant difference in the any planes in changing of walking speed. But the most remarkable difference of the two walking patterns revealed at the trunk. The range of flexion/extension angle had significant increasing $2.36^{\circ}$ at normal speed, and the range of the right/left flexion angle had significant increasing below $4^{\circ}$ at the 3 walking speed, and The range of rotation angle had significant increasing $7.35^{\circ}$, $9.22^{\circ}$, respectively at the normal and slow speed. But there was no significant difference of range of motion at the hip and knee joints between energy walking and normal walking.

한국형 고무차륜AGT차량 승객의 안락한 공간 확보를 위한 최적 실내 공간 배치에 관한 디자인 연구 (A Study on the Interior Layout of the Rubber Wheel AGT lot the Passenger's comfortable circumstance)

  • 한석윤;최출헌;정종덕
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2000년도 춘계학술대회 논문집
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    • pp.463-470
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    • 2000
  • The challenge to be faced in public transportation today is to satisfy human needs with the least delay, with the smallest number of accidents, and with the most economic use of energy, space, materials, man-power and money. One possible solution may lie in city train system, including AGT system. Specially, Passenger space in AGT is important to balance the budget of layout with passenger's satisfaction. This study focuses on lay-out and space, comfort which should be considered from the conceptual design stage of the interior layout work. Traditionally, the interior layout of the passenger room has emphasized ridequality and style. However, as the train becomes more prevalent and versatile, the focus also tends to shift toward layout and space to have comfortable circumstances. After all, the purpose of this research focused on arrangement a rational interior layout of the train through ergonomics research. Finally, the key was ensuring the comfortable environment based on cultural background of the passenger.

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MPDP를 이용한 수용가측 전지전력저장시스템의 최적운전 (Optimal Operation of Battery Energy Storage System for Customers using the MPDP)

  • 홍종석;김재철;최준호;정용철;김태수;김응상
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 하계학술대회 논문집 A
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    • pp.315-317
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    • 2001
  • This paper studies for the optimal operation of BESS. The goal must be optimized electricity charge of the customer sides owned time-of-use rates in this paper. Therefore, the least of cost is caused by BESS installation, Multi-Pass Dynamic Programming (MPDP) algorithm is applied to the customer for the optimal operation determination in this paper. It is to solve the optimal solution under the constraints. No matter how become one stage in general, problem is divided into several stage in series in this algorithm. Regardless of the decision step, MPDP is only accomplished based on the state of stage in the present. To investigate the efficiencies of the algorithm, it is applied the typical load curve to the cutomer owned Time-Of-Use(TOU). Result shows that the maximun economic benefits of the battery energy storage system can be achieved by the purposed algorithm.

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질산(窒酸)우라늄-질산(窒酸)토륨 혼합용액중(混合溶液中)의 물함량(含量) 결정식(決定式) 유도(誘導) (Derivation of An Empirical Formula for Determining Water Content of Mixed Uranyl Nitrate-Thorium Nitrate Solutions)

  • 민덕기;최병일;노성기;엄태윤;김종구
    • Journal of Radiation Protection and Research
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    • 제11권1호
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    • pp.22-28
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    • 1986
  • 우라늄의 용존농도(溶存濃度)와 토륨의 용존농도(溶存濃度) 및 질산(窒酸)의 노르말농도(濃度)가 서로 다른 여러가지 질산(窒酸) 우라늄-질산(窒酸)토륨 혼합용액(混合溶液)을 만들어 피크노메타(pycnometer)로서 그 밀도를 측정한 후 우라늄의 용존농도, 토륨의 용존농도 및 질산의 노르말농도만의 함수로서 물함량(含量)을 결정할 수 있는 실험식을 유도하였다. 그 결과 유도된 실험식은 $W=1.0-0.358\;C_u-0.4538\;C_{Th}-0.0307\;H^+$로서 여기에서 $W,\;C_u,\;C_{Th}$$H^+$은 각각 혼합용액중(混合溶液中)의 물함량(含量)(g/cc), 우라늄의 용존농도(溶存濃度)(g/cc), 토륨의 용존농도(溶存濃度)(g/cc) 및 질산(窒酸)의 노르말농도(濃度)를 나타낸다. 유도된 실험식에 의하여 산출된 물함량을 Bouly 등(等)의 방법으로 계산한 결과치(結果値)와 비교하였는데 그 차이는 2.7%이하인 것으로 나타났다.

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ZnSe 나노분말 합성에 미치는 환원제와 첨가제의 영향 (Influence of Reducing Agents and Additives on the Synthesis of ZnSe Nanoparticles)

  • 백금지;이다경;이민서;송하연;홍현선
    • 한국분말재료학회지
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    • 제27권3호
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    • pp.233-240
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    • 2020
  • Nano-sized ZnSe particles are successfully synthesized in an aqueous solution at room temperature using sodium borohydride (NaBH4) and thioglycolic acid (TGA) as the reducing agent and stabilizer, respectively. The effects of the mass ratio of the reducing agent to Se, stabilizer concentration, and stirring time on the synthesis of the ZnSe nanoparticles are evaluated. The light absorption/emission properties of the synthesized nanoparticles are characterized using ultraviolet-visible (UV-vis) spectroscopy, photoluminescence (PL) spectroscopy, and particle size analyzer (PSA) techniques. At least one mass ratio (NaBH4/Se) of the reducing agent should be added to produce ZnSe nanoparticles finer than 10 nm and to absorb UV-vis light shorter than the ZnSe bulk absorption wavelength of 460 nm. As the ratio of the reducing agent increases, the absorption wavelengths in the UV-vis curves are blue-shifted. Stirring in the atmosphere acts as a deterrent to the reduction reaction and formation of nanoparticles, but if not stirred in the atmosphere, the result is on par with synthesis in a nitrogen atmosphere. The stabilizer, TGA, has an impact on the Zn precursor synthesis. The fabricated nanoparticles exhibit excellent photo-absorption/discharge characteristics, suggesting that ZnSe nanoparticles can be alloyed without the need for organic solutions or high-temperature environments.

An improved extended Kalman filter for parameters and loads identification without collocated measurements

  • Jia He;Mengchen Qi;Zhuohui Tong;Xugang Hua;Zhengqing Chen
    • Smart Structures and Systems
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    • 제31권2호
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    • pp.131-140
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    • 2023
  • As well-known, the extended Kalman filter (EKF) is a powerful tool for parameter identification with limited measurements. However, traditional EKF is not applicable when the external excitation is unknown. By using least-squares estimation (LSE) for force identification, an EKF with unknown input (EKF-UI) approach was recently proposed by the authors. In this approach, to ensure the influence matrix be of full column rank, the sensors have to be deployed at all the degrees-of-freedom (DOFs) corresponding to the unknown excitation, saying collocated measurements are required. However, it is not easy to guarantee that the sensors can be installed at all these locations. To circumvent this limitation, based on the idea of first-order-holder discretization (FOHD), an improved EKF with unknown input (IEKF-UI) approach is proposed in this study for the simultaneous identification of structural parameters and unknown excitation. By using projection matrix, an improved observation equation is obtained. Few displacement measurements are fused into the observation equation to avoid the so-called low-frequency drift. To avoid the ill-conditioning problem for force identification without collocated measurements, the idea of FOHD is employed. The recursive solution of the structural states and unknown loads is then analytically derived. The effectiveness of the proposed approach is validated via several numerical examples. Results show that the proposed approach is capable of satisfactorily identifying the parameters of linear and nonlinear structures and the unknown excitation applied to them.