• Title/Summary/Keyword: Simplified Equation

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Joint parameter identification of a cantilever beam using sub-structure synthesis and multi-linear regression

  • Ingole, Sanjay B.;Chatterjee, Animesh
    • Structural Engineering and Mechanics
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    • v.45 no.4
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    • pp.423-437
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    • 2013
  • Complex structures are usually assembled from several substructures with joints connecting them together. These joints have significant effects on the dynamic behavior of the assembled structure and must be accurately modeled. In structural analysis, these joints are often simplified by assuming ideal boundary conditions. However, the dynamic behavior predicted on the basis of the simplified model may have significant errors. This has prompted the researchers to include the effect of joint stiffness in the structural model and to estimate the stiffness parameters using inverse dynamics. In the present work, structural joints have been modeled as a pair of translational and rotational springs and frequency equation of the overall system has been developed using sub-structure synthesis. It is shown that using first few natural frequencies of the system, one can obtain a set of over-determined system of equations involving the unknown stiffness parameters. Method of multi-linear regression is then applied to obtain the best estimate of the unknown stiffness parameters. The estimation procedure has been developed for a two parameter joint stiffness matrix.

A Simplified Efficient Algorithm for Blind Detection of Orthogonal Space-Time Block Codes

  • Pham, Van Su;Mai, Linh;Lee, Jae-Young;Yoon, Gi-Wan
    • Journal of information and communication convergence engineering
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    • v.6 no.3
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    • pp.261-265
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    • 2008
  • This work presents a simplified efficient blind detection algorithm for orthogonal space-time codes(OSTBC). First, the proposed decoder exploits a proper decomposition approach of the upper triangular matrix R, which resulted from Cholesky-factorization of the composition channel matrix, to form an easy-to-solve blind detection equation. Secondly, in order to avoid suffering from the high computational load, the proposed decoder applies a sub-optimal QR-based decoder. Computer simulation results verify that the proposed decoder allows to significantly reduce computational complexity while still satisfying the bit-error-rate(BER) performance.

A Study on the Simplified Energy Calculation Method of Apartment Houses (공동주택의 연료소모량 간이계산법에 관한 연구)

  • Lim, C.M.
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.3 no.5
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    • pp.404-414
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    • 1991
  • The purpose of this study is to compare the amount of heating, domestic hot water, and cooking fuel consumption with that of heating fuel consumption by the existing calculation method and to provide rational heating system design and energy conservation through presenting the simplified equation which can anticipate the amount of heating, domestic hot water, and cooking and the load mechanical equipments. The affecting factors to the amount of energy consumption are the case of Heating, Domestic Hot Water and Cooking in addition to the energy conservation intention.

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A Study on the Optimum Welding Conditions for Reducing the Depth of Indentation of Surface in Spot Welding (점용접 시 압흔 깊이 감소를 위한 최적 용접조건 선정에 관한 연구)

  • 서승일;이재근;장상길;차병우
    • Journal of Welding and Joining
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    • v.14 no.2
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    • pp.57-64
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    • 1996
  • In this paper, authors are trying to find optimum spot weldig conditions to minimize indentation of the plate surface which is crucial to quality of stainless rolling stocks. At first, to derive a simple equation to estimate the depth of indentation, a simplified one-dimensional bar model is proposed and validity of the model is confirmed by experiments. And also, to find proper welding conditions giving satisfied tensile strength of the welded joint, a simple formula is derived referring to the standard spot welding conditions by AWS. Optimization problem is formulated to find welding conditions such as welding current, time and applied force which give minimum indentation and proper tensile strength of joint, and solutions are found out. According to the results, the depth of indentation can be expressed by applied electrode froces and it can be shown that an optimum applied force exists.

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Simplified Estimation of Settlement in Silty Sand Grounds Induced Liquefaction (액상화에 의한 실트질 모레지반의 침하 산정)

  • Rhee, Min-Ho;Kim, Tae-Hoon;Lee, Song
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.11a
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    • pp.209-216
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    • 2000
  • When subjected to earthquake shaking, saturated sandy soil may generate excess pore pressure. And a time may come when initial confining pressure will equal to excess pore pressure. Depending on the characteristics of the soil and the length of the drainage path, excess pore pressure was dissipated after earthquake. For this reason, it was induced settlement in grounds and fatal damage of various structures. In this study, settlement in silty sand grounds induced earthquake was evaluated using post-liquefaction constitutive equation between volumetric strain and shear strain from previous study. Using that, it was proposed that simplified estimation of settlement in silty sand grounds induced liquefaction.

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Numerical Simulation for Model Gas Turbine Combustor (모형 가스터빈 연소기의 수치해석적 연구)

  • 김태한;최병륜
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.7
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    • pp.1789-1798
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    • 1994
  • This paper aimed for numerical simulation of complicated gas turbine combustor with swirler. For the convenience of numerical analysis, fuel nozzle and air linear hole areas of secondary and dilution zone, which are issued to jet stream, were simplified to equivalent areas of annular type. In other to solve these problems, imaginary source terms which are corresponded to supplied fuel amount were added to those of governing equation. Chemical equilibrium model of infinite reaction rate and $k-{\epsilon}-g$ model with the consideration of density fluctuation were applied. As the result, swirl intensity contributed to mixing of supplied fuel and air, and to speed up the flame velocity than no swirl condition. Temperature profiles were higher than experimental results at the upstream and lower at the downstream, but total energy balance was accomplished. As these properties showed the similar trend qualitatively, simplified simulation method was worth to apply to complicated combustor for predicting combustion characteristics.

On the in-duct acoustical source characteristics of a simplified time-varying fluid machine (시변하는 간단한 유체기계의 덕트 내 음원 특성에 대한 해석적 연구)

  • 이정권;장승호
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11a
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    • pp.517-521
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    • 2001
  • Measurement techniques for the in-duct source characteristics of fluid machines can be classified into direct method and load method, according to whether the technique employs an external acoustic source or not. It has been known that the two methods yield different results and the load method used to come up with a negative source resistance, in spite of the fact that a very accurate prediction of radiated noise can be obtained by using any result. This paper is focused to the effect of time-varying nature of fluid machines on the output result. For this purpose, a simplified fluid machine consisting of a reservoir, a valve and a pipe is considered as representing a typical linear, periodic, time-varying system and the measurement techniques are simulated by utilizing the Hill equation and its steady-state forced response. In the load method, the source impedance turns out being dependent on the valve impedance at the calculation frequency and the valve and load impedances at other frequencies as well.

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Treatment of nitrobenzene-cotaminated Wastewater using Oxidation Reaction (산화제를 이용한 니트로벤젠 함유 폐수 처리)

  • 신진환;손종렬
    • Journal of environmental and Sanitary engineering
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    • v.17 no.1
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    • pp.69-74
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    • 2002
  • This study explored for treatment processes by investigating the treatment efficiency and reaction mechanism through oxidation reaction using UV and $O_3$ as oxidant in compensate the wastewater containing nitrobenzene that is non biodegradable organic. Also by modeling these reactions, we try to step explanation of optimum reaction rate and reaction mechanism as the development of the computer program predictable the reaction rate by modeling the reaction. By using this model, after kinetic constant for each reaction from an experimental data is made an optimization and for hardly contribute to reaction rate in reaction kinetic equation is made an ignorance and suppose the simplified reaction mechanism, examined the propriety of computer simulation model and simplified reaction mechanism by comparing and inspecting the reaction kinetic constant and masstransfer coefficient. An investigation results for destructional treatment of nitrobenzene in the wastewater as non-biddegradable organic using UV, $O_3{\;}O_2{\;}H_2O_2-UV$ as oxidant.

Estimation of Total Acoustic Radiation Power of Submerged Circular Cylindrical Structure Using Surface Vibration Velocity (접수 원통형 구조물의 표면 진동속도를 이용한 총 방사음향파워 계산)

  • Han, Seungjin;Lee, Jongju;Kang, Myunghwan;Bae, Sooryong;Jung, Woojin
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2014.10a
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    • pp.236-239
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    • 2014
  • Most naval underwater weapon system can be simplified to a circular cylindrical structure which has vibrating machineries inside. In order to predict efficiently the total acoustic radiation power of cylindrical structure, surface velocity is measured and radiation efficiency of surface element is calculated. Then, they are substituted to the surface pressure in the simplified Helmholtz integral equation which assumes acoustic far-field and plane-wave approximation at the surface. Surface velocity and total acoustic radiation power for a submerged cylinder are measured in water-tank. In this example, it is found that total acoustic power output obtained from the prediction is in good agreement with that of measurement in mid-high frequency range.

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The Numerical Simulation of Ultrafine $SiO_2$ Particle Fabrication and Deposition by Using the Tube Furnace Reactor (튜브형 가열로 반응기를 이용한 초미립 $SiO_2$ 입자의 제조 및 증착에 대한 수치모사)

  • 김교선;현봉수
    • Journal of the Korean Ceramic Society
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    • v.32 no.11
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    • pp.1246-1254
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    • 1995
  • A numerical model for fabrication and deposition of ultrafine SiO2 particles were proposed in the simplified horizontal MCVD apparatus using tube furnace reactor. The model equations such as energy and mass balance equations and the 0th, 1st and 2nd moment balance equations of aerosols were considered in the reactor. The phenomena of SiCl4 chemical reaction, SiO2 particle formation and coagulation, diffusion and thermophoresis of SiO2 particles were included in the aerosol dynamic equation. The profiles of gas temperature, SiCl4 concentration and SiO2 particle volume were calculated for standard conditions. The concentrations, sizes and deposition efficiencies of SiO2 particles were calculated, changing the process conditions such as tube furnace setting temperature, total gas flow rate and inlet SiCl4 concentration.

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