• 제목/요약/키워드: Mathematical Thermal modeling

검색결과 59건 처리시간 0.023초

기상계측 시스템을 이용한 머시닝센터의 기하오차 모델링 및 오차측정 (Modeling and Measurement of Geometric Errors for Machining Center using On-Machine Measurement System)

  • 이재종;양민양
    • 한국정밀공학회지
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    • 제16권2호통권95호
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    • pp.201-210
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    • 1999
  • One of the major limitations of productivity and quality in metal cutting is the machining accuracy of machine tools. The machining accuracy is affected by geometric and thermal errors of the machine tools. Therefore, a key requirement for improving te machining accuracy and product quality is to reduce the geometric and thermal errors of machine tools. This study models geometric error for error analysis and develops on-machine measurement system by which the volumetric erors are measured. The geometric error is modeled using form shaping function(FSF) which is defined as the mathematical relationship between form shaping motion of machine tool and machined surface. The constant terms included in the error model are found from the measurement results of on-machine measurement system. The developed on-machine measurement system consists of the spherical ball artifact (SBA), the touch probe unit with a star type stylus, the thermal data logger and the personal computer. Experiments, performed with the developed measurement system, show that the system provides a high measuring accuracy, with repeatability of ${\pm}2{\mu}m$ in X, Y and Z directions.

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Analytical solution for scale-dependent static stability analysis of temperature-dependent nanobeams subjected to uniform temperature distributions

  • Ebrahimi, Farzad;Fardshad, Ramin Ebrahimi
    • Wind and Structures
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    • 제26권4호
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    • pp.205-214
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    • 2018
  • In this paper, the thermo-mechanical buckling characteristics of functionally graded (FG) size-dependent Timoshenko nanobeams subjected to an in-plane thermal loading are investigated by presenting a Navier type solution for the first time. Material properties of FG nanobeam are supposed to vary continuously along the thickness according to the power-law form and the material properties are assumed to be temperature-dependent. The small scale effect is taken into consideration based on nonlocal elasticity theory of Eringen. The nonlocal governing equations are derived based on Timoshenko beam theory through Hamilton's principle and they are solved applying analytical solution. According to the numerical results, it is revealed that the proposed modeling can provide accurate critical buckling temperature results of the FG nanobeams as compared to some cases in the literature. The detailed mathematical derivations are presented and numerical investigations are performed while the emphasis is placed on investigating the effect of the several parameters such as material distribution profile, small scale effects and aspect ratio on the critical buckling temperature of the FG nanobeams in detail. It is explicitly shown that the thermal buckling of a FG nanobeams is significantly influenced by these effects. Numerical results are presented to serve as benchmarks for future analyses of FG nanobeams.

동계 시각별 외기온의 변동 특성에 관한 연구 (Variation Characteristics of Hourly Atmospheric Temperature Throughout a Winter)

  • 이승언;손장열
    • 태양에너지
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    • 제12권2호
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    • pp.1-8
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    • 1992
  • 본 연구는 동계 외기온 데이타의 시각별 변동특성을 파악하기 위하여 연변동 성분 및 기간변동 성분을 제거한 일변동 성분의 매 시각별 외기온 데이타에 대해서 일교차의 발생요인에 대해서 분석하였다. 또한 동계시각별 외기온의 주파수 특성에 대해서 검토하였으며 외기온 데이타의 수식화의 가능성을 제시하였다.

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Diesel-oil에 오염된 토양의 유동상 열탈착 모델링 (Modeling of thermal fluidized desorption for diesel-oil contaminated soils)

  • 이상화;김병욱;이상득;박달근;이중기
    • 한국토양환경학회지
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    • 제4권2호
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    • pp.137-147
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    • 1999
  • Cahn-balance에 의한 TGA(thermal gravimetric analysis)와 heat pipe가 내삽된 유동상 탈착 시스템을 이용한 실험 및 이론적 고찰을 통해 유동상 열탈착조에서 디젤오염토양의 열탈착 모델링을 확립하였다. 유류에 오염된 토양의 탈착 특성을 살펴본 결과, 비다공성(nonporous)토양("soil A")의 경우 유류 탈착 빠르게 진행되는데 반해서 다공성(porous)토양("soil B")의 경우 탈착이 지연되는 현상을 관측하였는데 이는 내부 기공에서 탈착된 유류성분이 외부로 빠져 나오는데 걸리는 시간이 비다공성 토양에 비해 상대적으로 길기 때문으로 사료된다. 또한, 확산지배 탈착 영역에서는 탈착속도는 탈착가스의 유속과는 거의 상관없는 경향을 보였다. 연속식 유동상에서의 탈착효율에 영향을 미치는 변수는 탈착조 온도, 유속, 토양 공급량 이였다. 모든 온도 범위 내에서, 유동화속도가 클수록 잔류오일의 양이 감소하는, 즉 탈착효율이 증가하는 경향을 보였다. 특히 낮은 탈착온도 일수록 유동화 유속의 증가에 따라 뚜렷한 탈착효율의 증가효과를 관측할 수 있었다. 반면에 일정한 유속 하에서 토양공급 속도의 증가에 따라 탈착 효율은 감소하였다. 공급속도가 높을 때에는 온도와는 상관없이 잔류오염물의 농도가 대체적으로 높았는데, 이는 screw feeder를 통해 유입되는 오염토양이 충분한 체류시간을 거치지 않고 빠져나감으로써 충분한 열적 교환 및 물질이동이 이루어지지 않았음을 나타내주고 있다. 본 연구에서는 Fickian 확산계수를 결합시킨 Kunii-Levenspiel 모델을 통하여 유동화 속도에 따른 오염토양의 탈착 경향을 살퍼본 결과 탈착 효율 $A_X$는 전체 물질전달계수 (${K_d}_f$)와 유체유속과 기포상 승속도의 비($u_o$$u_b$)의 변화에 크게 영향을 받는 것으로 나타났다. 모델링의 예측 결과로부터 유동층내의 확산 지배에 의한 오염토양의 탈착효율은 여러 조업변수의 조합에 의해 최적화 할 수 있음을 알 수 있었고, 아주 낮은 최소 유동화속도에서도 높은 탈착효율을 얻을 수 있다는 사실을 확인하였다. 얻을 수 있다는 사실을 확인하였다.

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IMPLEMENTATION OF DATA ASSIMILATION METHODOLOGY FOR PHYSICAL MODEL UNCERTAINTY EVALUATION USING POST-CHF EXPERIMENTAL DATA

  • Heo, Jaeseok;Lee, Seung-Wook;Kim, Kyung Doo
    • Nuclear Engineering and Technology
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    • 제46권5호
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    • pp.619-632
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    • 2014
  • The Best Estimate Plus Uncertainty (BEPU) method has been widely used to evaluate the uncertainty of a best-estimate thermal hydraulic system code against a figure of merit. This uncertainty is typically evaluated based on the physical model's uncertainties determined by expert judgment. This paper introduces the application of data assimilation methodology to determine the uncertainty bands of the physical models, e.g., the mean value and standard deviation of the parameters, based upon the statistical approach rather than expert judgment. Data assimilation suggests a mathematical methodology for the best estimate bias and the uncertainties of the physical models which optimize the system response following the calibration of model parameters and responses. The mathematical approaches include deterministic and probabilistic methods of data assimilation to solve both linear and nonlinear problems with the a posteriori distribution of parameters derived based on Bayes' theorem. The inverse problem was solved analytically to obtain the mean value and standard deviation of the parameters assuming Gaussian distributions for the parameters and responses, and a sampling method was utilized to illustrate the non-Gaussian a posteriori distributions of parameters. SPACE is used to demonstrate the data assimilation method by determining the bias and the uncertainty bands of the physical models employing Bennett's heated tube test data and Becker's post critical heat flux experimental data. Based on the results of the data assimilation process, the major sources of the modeling uncertainties were identified for further model development.

3D 프린팅을 이용한 고온용 솔레노이드 밸브의 시제품 제작 및 유량과 동적특성 평가 (Prototype Manufacturing Using 3D Printing and Characteristics of Flow Rate and Dynamics for High Temperature Solenoid Valve)

  • 이형욱;이용문;신보성;이태구;강명창
    • 한국정밀공학회지
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    • 제33권5호
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    • pp.341-348
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    • 2016
  • The solenoid valve is used widely across various industries; however, solenoid valves for use in high-temperature environments have to be highly specified, such as those used in thermal power plants and steel mills. As such, we have developed a solenoid valve, using an already developed solenoid, to allow for more specific use. In this type of development method, use of 3D printing is very effective, allowing for a reduction in errors in design and production. This study includes a mathematical model of the solenoid valve. Then, the simulation from the mathematical model was performed using the AMESim (Advanced Modeling Environment for Simulation of Engineering Systems). We made a prototype valve using the simulation results and also measured the flow rate and dynamic performance.

SIMULATION OF UNIT CELL PERFORMANCE IN THE POLYMER ELECTROLYTE MEMBRANE FUEL CELL

  • Kim, H.G.;Kim, Y.S.;Shu, Z.
    • International Journal of Automotive Technology
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    • 제7권7호
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    • pp.867-872
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    • 2006
  • Fuel cells are devices that convert chemical energy directly into electrical energy. Owing to the high efficiency of the fuel cells, a large number of research work have been done during these years. Among many kinds of the fuel cells, a polymer electrolyte membrane fuel cell is such kind of thing which works under low temperature. Because of the specialty, it stimulated intense global R&D competition. Most of the major world automakers are racing to develop polymer electrolyte membrane fuel cell passenger vehicles. Unfortunately, there are still many problems to be solved in order to make them into the commercial use, such as the thermal and water management in working process of PEMFCs. To solve the difficulites facing the researcher, the analysis of the inner mechanism of PEMFC should be implemented as much as possible and mathematical modeling is an important tool for the research of the fuel cell especially with the combination of experiment. By regarding some of the assumptions and simplifications, using the finite element technique, a two-dimensional electrochemical mode is presented in this paper for the further comparison with experimental data. Based on the principals of the problem, the equations of electronic charge conservation equation, gas-phase continuity equation, and mass balance equation are used in calculating. Finally, modeling results indicate some of the phenomenon in a unit cell, and the relationships between potential and current density.

LM 볼가이드 마찰력의 수학적 모델링 (Mathematical Modeling of Friction Force in LM Ball Guides)

  • 오광제;김경호;박천홍;정성종
    • 한국정밀공학회지
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    • 제32권5호
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    • pp.423-429
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    • 2015
  • Linear motion (LM) ball guides have good accuracy and high efficiency. They are widely applied for precision machinery such as machine tools, semiconductor fabrication machines and robots. However, friction force incurs heat between the balls and grooves. Thermal expansion due to the heat deteriorates stiffness and accuracy of the LM ball guides. For accurate estimation of stiffness and accuracy during the linear motion, friction models of LM ball guides are required. To formulate accurate frictional models of LM ball guides according to load and preload conditions, rolling and viscous frictional analyses have been performed in this paper. Contact loads between balls and grooves are derived from Hertzian contact analysis. Contact angle variation is incorporated for the precision modeling. Viscous friction model is formulated from the shear stress of lubricant and the contact area between balls and grooves. Experiments confirm validity of the developed friction model for various external load and feedrate conditions.

제선 설비의 열공정 해석 모델링 접근 방법 (Analysis of the Thermal Processes in the Iron-Making Facility - Modeling Approach)

  • 양원;류창국;최상민;최응수;이덕원;허완욱
    • 대한기계학회논문집B
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    • 제28권7호
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    • pp.747-754
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    • 2004
  • Thermo-fluid characteristics in coke oven, sintering machine and blast furnace in iron-making facility are key processes related to the quality and productivity of the pig iron. Solid material in the processes usually forms a bed in a gas flow. For simulation of the processes by mathematical model, the solid beds are idealized to be a continuum and a reacting solid flow in the gas flow. Governing equations in the form of partial differential equations for the solid material can be constructed based on this assumption. Iron ore sintering bed is simulated and limited amount of parametric study have been performed. The results have a good agreement with the experimental results or physical phenomena, which shows the validity and applicability of the model.

Optimization of three small-scale solar membrane distillation desalination systems

  • Chang, Hsuan;Hung, Chen-Yu;Chang, Cheng-Liang;Cheng, Tung-Wen;Ho, Chii-Dong
    • Membrane and Water Treatment
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    • 제6권6호
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    • pp.451-476
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    • 2015
  • Membrane distillation (MD), which can utilize low-grade thermal energy, has been extensively studied for desalination. By incorporating solar thermal energy, the solar membrane distillation desalination system (SMDDS) is a potential technology for resolving the energy and water resource problems. Small-scale SMDDS (s-SMDDS) is an attractive and viable option for the production of fresh water for small communities in remote arid areas. The minimum-cost design and operation of s-SMDDS are determined by a systematic method, which involves a pseudo steady state approach for equipment sizing and the dynamic optimization using overall system mathematical models. The s-SMDDS employing three MD configurations, including the air gap (AGMD), direct contact (DCMD) and vacuum (VMD) types, are optimized. The membrane area of each system is $11.5m^2$. The AGMD system operated for 500 kg/day water production rate gives the lowest unit cost of $5.92/m^3$. The performance ratio and recovery ratio are 0.85 and 4.07%, respectively. For the commercial membrane employed in this study, the increase of membrane mass transfer coefficient up to two times is beneficial for cost reduction and the reduction of membrane heat transfer coefficient only affects the cost of the DCMD system.