• Title/Summary/Keyword: hyperbolic method

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A Study on Interpretation of Seismic Reflection Traveltimes in Anisotropic Layers (이방성 지층에서의 탄성파 반사 주시자료의 해석에 관한 연구)

  • Hwang, Se Ho;Yang, Seung Jin;Jang, Seong Hyung;Kim, Jung Yul
    • Economic and Environmental Geology
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    • v.27 no.2
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    • pp.201-207
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    • 1994
  • This paper presents a technique to determine anisotropic elastic coefficients from traveltimes of seismic reflections or vertical seismic profiling (VSP) in tranversely isotropic layers whose thicknesses are known. The elastic coefficients are calculated from three different velocities (vertical, horizontal and skew velocities) which are determined from skew hyperbolic traveltimes by least-square fitting or semblance analysis. This interpretation technique is tested for synthetic traveltime data obtained for transversely isotropic models. The test shows that the anisotropic elastic constants of the models are determined accurately by this interpretation method.

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Boundary Control of an Axially Moving Belt System in a Thin-Metal Production Line

  • Hong, Keum-Shik;Kim, Chang-Won;Hong, Kyung-Tae
    • International Journal of Control, Automation, and Systems
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    • v.2 no.1
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    • pp.55-67
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    • 2004
  • In this paper, an active vibration control of a translating steel strip in a zinc galvanizing line is investigated. The control objectives in the galvanizing line are to improve the uniformity of the zinc deposit on the strip surfaces and to reduce the zinc consumption. The translating steel strip is modeled as a moving belt equation by using Hamilton’s principle for systems with moving mass. The total mechanical energy of the strip is considered to be a Lyapunov function candidate. A nonlinear boundary control law that assures the exponential stability of the closed loop system is derived. The existence of a closed-loop solution is shown by proving that the closed-loop dynamics is dissipative. Simulation results are provided.

Cross-Coupled Control for the Friction Compensation of CNC Machines (CNC 공작 기계의 마찰력 보상을 위한 상호 결합 제어)

  • Joo, Jeong-Hong;Lee, Hyun-Chul;Lee, Yun-Jung;Jeon, Gi-Joon
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.4
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    • pp.462-470
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    • 1999
  • In this paper, we proposed a cross-couple controller for compensating nonlinear friction of the X-Y table of CNC machines. Due to the nonlinearity of the frictions, large contour errors, referred to as quadrant glitches, occur when each axis of the X-Y table makes a zero velocity crossing. To reduce the quadrant glitches the friction compensators and nonlinear friction observers for estimating Coulomb frictions are employed in the proposed method. A hyperbolic tangent function is used in reducing the magnitude of quadrant glitches and the CEM (Contour Error Model) is utilized for the estimation of the velocities. The performance of the proposed compensators is evaluated for several trajectories by computer simulations.

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Generalized Command Mode Finite Element Method Toolbox in CEMTool

  • Ahn, Choon-Ki;Kwon, Wook-Hyun
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1349-1353
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    • 2003
  • CEMTool is a command style design and analyzing package for scientific and technological algorithm and a matrix based computation language. In this paper, we present a compiler based approach to the implementation of the command mode generalized PDE solver in CEMTool. In contrast to the existing MATLAB PDE Toolbox, our proposed FEM package can deal with the combination of the reserved words such as "laplace" and "convect". Also, we can assign the border lines and the boundary conditions in a very easy way. With the introduction of the lexical analyzer and the parser, our FEM toolbox can handle the general boundary condition and the various PDEs represented by the combination of equations. That is why we need not classify PDE as elliptic, hyperbolic, parabolic equations. Consequently, with our new FEM toolbox, we can overcome some disadvantages of the existing MATLAB PDE Toolbox.

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Combined membrane and flexural reinforcement design in RC shells and ultimate behavior (막응력과 휨을 고려한 RC 쉘의 설계와 극한거동)

  • 민창식
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.10a
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    • pp.405-411
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    • 1998
  • An iterative numerical computational algorithm is presented to design a plate of shell element subjected to membrane and flexural forces. Based on equilibrium consideration, equations for capacities of top and bottom reinforcements in two orthogonal directions have been derived. The amount of reinforcement is determined locally, i. e., for each sampling point, from the equilibrium between applied and internal forces. One case of design is performed for a hyperbolic paraboloid saddle shell (originally used by Lin and Scordelis) to check the design strength against a consistent design load, therefore, to verify the adequacy of design practice for reinforced concrete shells. Based on nonlinear analyses performed, the analytically calculated ultimate load exceeded the design ultimate load from 14-43% for an analysis with relatively low to high tension stiffening, ${\gamma}$ =5~20 cases. For these cases, the design method gives a lower bound on the ultimate load with respect to Lower bound theorem. This shows the adequacy of the current practice at least for this saddle shell case studied. To generalize the conclusion many more designs-analyses are performed with different shell configurations.

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어군행동 원격감시 시스템의 개발에 관한 연구 ( 1 ) - 하드웨어와 소프트웨어 - ( Development of the Underwater Telemetry System to Monitor the Behavior of Fish ( 1 ) - Hardware and Software - )

  • 신형일
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.30 no.4
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    • pp.263-272
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    • 1994
  • The hardware and the software of the prototype telemtry system to monitor the behavior of the fish are designed. This system consistes of five parts I. e. three omni-directional hydrophones, three ultrasonic receivers, a single board computer for the signal processing, two RF transceivers for the data communication, and a personnel computer. The sensitivty of the hydrophones is -170dB(re 1V/$\mu$Pa), the gain and the 3dB receiving bandwidth of the ultrasonic receivers are 115dB and 1500Hz respectively, and the sampling period is 33.3$\mu$sec in the signal processing part. The positioning error of the system using hyperbolic method is estimated to be less than 0.2m in case that the pinger locates inside of the baselines. The perfomance of the system considering a practical use was examined by numerical simulation and a water tank test of a pinger tracking experiment. In results, the system developed in prototype was confirmed that it could be useful for monitoring the behavior of fish in the limited water area.

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A Study on Residual Stress Characteristics for Joint of Soft Rock in Ring Shear Tests (링 전단시험기를 이용한 연암의 절리에 대한 잔류강도 특성에 관한 연구)

  • 권준욱;김선명;윤지선
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.03b
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    • pp.281-288
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    • 2000
  • In this study, we tried to determine failure criteria for joints of soft rock using ring shear test machine. The residual stress fellowing shear behavior was determined by the result of ring shear test and direct shear test. Ring shear test with the specimens which cover a large deformation range was adapted to measure a residual stress, and was possible to present the peak stress to present the peak stress to the residual stress at the same time. Residual stress is defined a minimal stress of specimens with a large displacement and the result of the peak residual stress is shown by a size of displacement volume. Therefore, the residual stress in soil was decided by shear stress of maximum shear stress - shear displacement(angle) based on the test result of a hyperbolic function ((equation omitted), a, b = experimental constant). In this study, it was proved that the residual stress of rock joint can be determined by using of this method.

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Revised Surface Gradient Method for the Hyperbolic-Type Shallow-Water Equations on Irregular Bathymetry (불규칙 지형상의 쌍곡선형 천수방정식 해석을 위한 개선 표면경사법)

  • Kim Dae-Hong;Yi Yong-Kon;Cho Yong-Sik
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.424-428
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    • 2005
  • 본 연구에서는 임의로 변화하는 지형상에 적용시에 보존 특성이 성립하는 쌍곡선형 천수방정식 해석 기법을 개발하였다. 일반적으로 쌍곡선형의 천수방정식은 상류와 사류를 쉽고 정확하게 해석할 수 있고, 또한 Euler 방정식 해석기법을 이용한 다양한 해석기법이 개발되어 있다는 장점을 지니고 있다. 그러나 바닥지형이 변화하는 경우, 생성항과 플럭스항 사이에 수치적 해석기법 차이에서 발생하는 수치적 불균형이 발생하여 수치모형의 적용성이 현저하게 저하된다. 따라서 본 연구에서는 이와 같은 현상을 개선하기 위하여, 기존의 표면경사법을 개선한 기법을 제시하였다. MUSCL-Hancock 기법과 HLLC 근사 Riemann 기법을 이용하였으며, 플럭스항과 수치적 균형을 이루기 위한 이산화기법을 제안하였다. 모형의 검증을 위하여 정상류 상태의 상류와 사류 해석을 수행하였고, 마른바닥에서의 댐붕괴파와 수직한 지형 변화를 갖는 수로상의 서지의 진행 등과 같은 부정류에 대하여 적용하였다. 적용결과, 매우 정확하고 수치적으로 안정된 계산결과를 얻었다.

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Wave Inundation at Mokpo Harbor (목포항에서의 풍파로 인한 범람)

  • Lee, Jung-Lyul;Kang, Juo-Hwan;Moon, Seung-Rok;Lim, Heung-Soo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2006.05a
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    • pp.574-578
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    • 2006
  • Tidal amplification by construction of the sea-dike and sea-walls had been detected not only near Mokpo Harbor but also at Chungkye Bay which is connected with Mokpo Harbor by a narrow channel. This brings about increase of tidal flat area and in particular increase of surge-wave combined runup during storms. The purpose of this study is to examine an efficient operational model that can be used by civil defense agencies for real-time prediction and fast warnings on wind waves and storm surges. Instead of using commercialized wave models such as WAM, SWAN, the wind waves are simulated by using a new concept of wavelength modulation to enhance broader application of the hyperbolic wave model of the mild-slope equation type. Furthermore, The predicting system is composed of easy and economical tools for inputting depth data of complex bathymetry and enormous tidal flats such as Mokpo coastal zone. The method is applied to Chungkye Bay, and possible inundation features at Mokpo Harbor are analyzed.

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Non-dimensional analysis fo interior ballistics (공내탄도학의 무차원해석)

  • ;;Lee, Hung Joo;Min, Sung-Ki
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.1 no.3
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    • pp.125-130
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    • 1977
  • This is a dimensionless analysis of interior ballistics for the design of gun tube. One of the characteristics of this analysis is to ues the .ETA.$_{j}$ number which means a relative quantity of virtual work to the kimetic energy of projectile at the muzzle. In order to apply the concept of virtual work, it is assumed that the projectile is moved from the beginning to the end of bore under constant pressure of the certain travel distance of projectile. The principle of the analysis is induced from the Le Duc equation, which expresses velocity as a function of projectile travel and is based on the translation of a hyperbolic curve. From this non-dimensional analysis, the optimum design parameters of pressure in the bore, velocity and acceleration of projectile can be obtained from the table of figure without computation. This method was verified by the experimental work.k.