• 제목/요약/키워드: surface displacement equation

검색결과 98건 처리시간 0.025초

지진해일 전파모의를 위한 선형 천수방정식을 이용한 실용적인 분산보정기법 (Practical Dispersion-Correction Scheme for Linear Shallow-Water Equations to Simulate the Propagation of Tsunamis)

  • 조용식;손대희;하태민
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2006년도 학술발표회 논문집
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    • pp.1935-1939
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    • 2006
  • In this study, the new dispersion-correction terms are added to leap-frog finite difference scheme for the linear shallow-water equations with the purpose of considering the dispersion effects such as linear Boussinesq equations for the propagation of tsunamis. And, dispersion-correction factor is determined to mimic the frequency dispersion of the linear Boussinesq equations. The numerical model developed in this study is tested to the problem that initial free surface displacement is a Gaussian hump over a constant water depth, and the results from the numerical model are compared with analytical solutions. The results by present numerical model are accurate in comparison with the past models.

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자동 측정이 가능한 전용 캠 프로파일 측정 시스템 개발 (Development of Automatic Cam Profile Measurement System)

  • 정황영;이현석;박태민;신우철;고준빈;홍준희
    • 한국공작기계학회논문집
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    • 제17권1호
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    • pp.106-112
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    • 2008
  • In this paper, It does the profile measurement of the cam of diesel engine SOHC of the actual object. It uses the measurement of run-out method. This method is that the surface of the object is measured by the sensor when the object rotate, and calculated and displayed by the computer the signal which acquired by sensor. When we acquire the signals, we have two error because of motion and contacting between cam and probe. In this paper, we compensate the motion error while simply liner equation. And we have a solution that we change the figure of probe when we have a contacting error. We compared the data measuring on developed automatic cam profile measuring system with the data measured on CMM.

Analytical solution of a two-dimensional thermoelastic problem subjected to laser pulse

  • Abbas, Ibrahim A.;Alzahrani, Faris S.
    • Steel and Composite Structures
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    • 제21권4호
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    • pp.791-803
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    • 2016
  • In this article, the problem of a two-dimensional thermoelastic half-space are studied using mathematical methods under the purview of the generalized thermoelastic theory with one relaxation time is studied. The surface of the half-space is taken to be thermally insulated and traction free. Accordingly, the variations of physical quantities due to by laser pulse given by the heat input. The nonhomogeneous governing equations have been written in the form of a vector-matrix differential equation, which is then solved by the eigenvalue approach. The analytical solutions are obtained for the temperature, the components of displacement and stresses. The resulting quantities are depicted graphically for different values of thermal relaxation time. The result provides a motivation to investigate the effect of the thermal relaxation time on the physical quantities.

Fourier 급수전개를 이용한 유체로 가득 채워진 원통형 셸의 고유진동 해석 (Fourier Series Expansion Method for Free Vibration Analysis of a Fully Liquid-Filled Circular Cylindrical Shell)

  • 정경훈;이성철
    • 소음진동
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    • 제4권2호
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    • pp.137-146
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    • 1994
  • An analytical method for linear free vibration of fully liquid-filled circular cylindrical shell with various boundary conditions is developed by the Fourier series expansion based on the Stokes' transformation. A set of modal displacement functions and their derivatives of a circular cylindrical shell is substituted into the Sanders' shell equations in order to explicitily represent the Fourier coefficients as functions of the end point displacements, forces, and moments. For the vibration relevant to the liquid motion, the velocity potential of liquid is assumed as a sum of linear combination of suitable harmonic functions in the axial directions. The unknown parameter of the velocity potential is selected to satisfy the boundary condition along the wetted shell surface. An explicit expression of the natural frequency equation can be obtained for any kind of classical boundary conditions. The natural frequencies of the liquid-filled cylindrical shells with the clamped-free, the clamped-clamped, and the simply supported-simply supported boundary conditions examined in the previous works, are obtained by the analytical method. The results are compared with the previous works, and excellent agreement is found for the natural frequencies of the shells.

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회전하는 회전체 주위의 축대칭 두꺼운 난류경계층 연구 (Axisymmetric Thick Turbulent Boundary Layer Around a Rotating Body of Revolution)

  • 강신형;황정호
    • 대한조선학회지
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    • 제23권1호
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    • pp.13-22
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    • 1986
  • Axisymmetric turbulent thick boundary layers on a rotating body of revolution are calculated numerically in the paper. Richardson number is introduced to the mixing length to take account of swirl effects on Reynolds stresses. Interactions of the boundary layer and the external potential flow are included by adding the displacement thickness of boundary layers on the original body. Pressure distributions on the body surface are estimated by integrating normal momentum equation across the boundary layer. A model is designed and tested in the wind tunnel. Mean velocities are measured. Through the present study, swirl effects on the thick axisymmetric boundary layer development are considerable in comparison with those of non-totating cases. Rotational motion generally increase boundary layer thickness, axial skin friction coefficients, and form drags. Circumferential flow can be reversed to induce negative skin friction when the section area is reduced.

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Robust Hcontrol applied on a fixed wing unmanned aerial vehicle

  • Uyulan, Caglar;Yavuz, Mustafa Tolga
    • Advances in aircraft and spacecraft science
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    • 제6권5호
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    • pp.371-389
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    • 2019
  • The implementation of a robust $H_{\infty}$ Control, which is numerically efficient for uncertain nonlinear dynamics, on longitudinal and lateral autopilots is realised for a quarter scale Piper J3-Cub model accepted as an unmanned aerial vehicle (UAV) under the condition of sensor noise and disturbance effects. The stability and control coefficients of the UAV are evaluated through XFLR5 software, which utilises a vortex lattice method at a predefined flight condition. After that, the longitudinal trim point is computed, and the linearization process is performed at this trim point. The "${\mu}$-Synthesis"-based robust $H_{\infty}$ control algorithm for roll, pitch and yaw displacement autopilots are developed for both longitudinal and lateral linearised nonlinear dynamics. Controller performances, closed-loop frequency responses, nominal and perturbed system responses are obtained under the conditions of disturbance and sensor noise. The simulation results indicate that the proposed control scheme achieves robust performance and guarantees stability under exogenous disturbance and measurement noise effects and model uncertainty.

MATHEMATICAL MODELLING AND ITS SIMULATION OF A QUASI-STATIC THERMOELASTIC PROBLEM IN A SEMI-INFINITE HOLLOW CIRCULAR DISK DUE TO INTERNAL HEAT GENERATION

  • Gaikwad, Kishor R.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제19권1호
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    • pp.69-81
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    • 2015
  • The present paper deals with the determination of temperature, displacement and thermal stresses in a semi-infinite hollow circular disk due to internal heat generation within it. Initially the disk is kept at arbitrary temperature F(r, z). For times t > 0 heat is generated within the circular disk at a rate of g(r, z, t) $Btu/hr.ft^3$. The heat flux is applied on the inner circular boundary (r = a) and the outer circular boundary (r = b). Also, the lower surface (z = 0) is kept at temperature $Q_3(r,t)$ and the upper surface ($Z={\infty}$) is kept at zero temperature. Hollow circular disk extends in the z-direction from z = 0 to infinity. The governing heat conduction equation has been solved by using finite Hankel transform and the generalized finite Fourier transform. As a special case mathematical model is constructed for different metallic disk have been considered. The results are obtained in series form in terms of Bessel's functions. These have been computed numerically and illustrated graphically.

변위제한조건식과 안정화된 Penalty방법에 의한 차량 주행에 따른 구조물의 동적상호작용 해석기법 (Simulation of Vehicle-Structure Dynamic Interaction by Displacement Constraint Equations and Stabilized Penalty Method)

  • 정근영;이성욱;민경주
    • 대한토목학회논문집
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    • 제26권4D호
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    • pp.671-678
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    • 2006
  • 본 연구에서는 2개의 질량을 갖는 1/4 차량모델을 이용하여 차량-궤도-교량간의 동적상호작용 현상을 표현하기 위해 비선형 헤르츠 접촉스프링(Nonlinear Hertzian Contact Spring)과 비선형 접촉감쇠장치(Nonlinear Contact Damper)를 도입하였다. 또한, 차량에 작용하는 하중은 차량의 중량외에 임의시간단계의 차륜재하위치인 레일답면(즉, 주행로상의 접촉면)에서의 변위가 제한조건식(Constraint Equation)으로 가해졌다. 이 변위제한조건식은 Penalty방법(Penalty Method)에 의해 구현되었으며, 해의 안정화(Stabilization)를 위한 기법과 제한조건오차보정반력(Reaction from Constraint Violation)을 도입하였다. 또한, 차량의 피칭운동을 표현하고, 다양한 차량/열차를 모형화하기 위해서 1/4 차량모델의 차체 및 대차프레임 간을 강체연결 및 핀이 있는 강체연결조건으로 모형화하였다. 시간적분방법으로는 Newmark계열의 시간적분법이 사용되었으며, 해의 정확성 확보를 위해 국지적 오차평가에 근거한 적응적시간간격기법(Adaptive Time-Stepping Scheme)을 도입하였다. 이러한 적응적시간간격기법을 도입하여 동적해석에서 시간간격의 크기를 자동적으로 결정함으로써 동적해석에서의 해의 정확성을 확보하고 시간적분에 소요되는 계산비용을 감소시킬 수 있을 것으로 기대된다.

절리면 거칠기에 의한 전단강도 이방성 (Anisotropy of shear strength according to roughness in joint surface)

  • 이창훈;정교철
    • 지질공학
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    • 제12권4호
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    • pp.421-437
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    • 2002
  • 절리면에서의 이방성 및 전단거동을 정량적으로 파악하기 위한 목적으로 암석 절리면에 석고 몰드를 제작한 후 시멘트 몰타르를 이용하여 복제된 절리모델에 직접전단시험을 실시하였다. 시험 전 암석 시험편의 절리면에 대하여 기계식 단면측정기를 이용하여 절리면의 거칠기를 측정하고 이에 대한 결과를 수치화하였다. 수치화를 통하여 제시된 좌표값을 통하여 거칠기의 통계적 변수와 프랙탈 차원을 구하였다. 대부분의 절리모형에서, 낮은 수직응력 수준에서 전단변위에 따른 전단응력의 값이 지속되거나 상승하였다. 이는 자연상태의 절리면에 대하여 형성된 전리모형의 경우 단일 거칠기 특성에 의존되지 않음을 나타낸다 거칠기에 대한 여러 통계적 변수에 의해 제시된 단면의 특성과 전단강도와의 관계는 일정하지 않으며, 대부분 낮은 상관관계를 가지고 있음이 확인되었다. JRC를 이용한 Barton의 경험식과 실제 실험에서 주어진 값을 비교한 결과 Barton의 경험식은 거칠기에 대한 이방성의 영향을 고려하기 어려우며, 절리면에 대한 특성을 파악함에 있어서 적절하지 않은 것으고 판단된다. 프랙탈 차원의 경우 동일한 단면에 대하여 이방성을 고려할 수 있었으며, 이를 이용한 경험식을 사용한 결과 시험결과와 유사한 이방성을 인지할 수 있었다.

용접자동화를 위한 주사빔을 이용한 시각센서에 관한 연구 (A Study on the Vision Sensor Using Scanning Beam for Welding Process Automation)

  • 유원상;나석주
    • 대한기계학회논문집A
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    • 제20권3호
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    • pp.891-900
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    • 1996
  • The vision sensor which is based on the optical triangulation theory with the laser as an auxiliary light source can detect not only the seam position but the shape of seam. In this study, a vision sensor using the scanning laser beam was investigated. To design the vision sensor which considers the reflectivity of the sensing object and satisfies the desired resolution and measuring range, the equation of the focused laser beam which has a Gaussian irradiance profile was firstly formulated, Secondly, the image formaing sequence, and thirdly the relation between the displacement in the measuring surface and the displacement in the camera plane was formulated. Therefore, the focused beam diameter in the measuring range could be determined and the influence of the relative location between the laser and camera plane could be estimated. The measuring range and the resolution of the vision sensor which was based on the Scheimpflug's condition could also be calculated. From the results mentioned above a vision sensor was developed, and an adequate calibration technique was proposed. The image processing algorithm which and recognize the center of joint and its shape informaitons was investigated. Using the developed vision sensor and image processing algorithm, the shape informations was investigated. Using the developed vision sensor and image processing algorithm, the shape informations of the vee-, butt- and lap joint were extracted.