• 제목/요약/키워드: moment equations

검색결과 529건 처리시간 0.026초

한 개의 제어모멘트자이로 고장에 따른 위성 각속도 안정화 분석 (Analysis of Angular Velocity Stabilization of Spacecraft After One Control Moment Gyroscope's Failure)

  • 진재현;이현재
    • 한국항공우주학회지
    • /
    • 제49권5호
    • /
    • pp.389-397
    • /
    • 2021
  • 인공위성의 자세제어 구동기인 제어모멘트자이로의 고장에 따른 제어 특성을 분석하였다. 특히, 4개 중에 한 개가 고장난 상황을 고려하였다. 가장 많이 사용되는 피라미드와 box-90 구조를 고려하였으며, 고장 발생 이후의 특이점 및 특이면을 분석하고 비교하였다. 모듈이 고장나고 휠 속도를 줄이는 과정에 대한 동역학 방정식을 유도하였다. 정상인 세 모듈이 고장난 모듈의 모멘텀을 흡수하면서 위성의 각속도를 안정화하는 과정을 분석하였는데, 특이형상에서 나머지 CMG가 교착되거나 과도하게 요동할 수 있는데, 짐벌각 재조정을 통하여 방지할 수 있음을 제시한다.

원자 현미경에서 마찰력 측정을 위한 새로운 실험 기법 (A New Experimental Technique for Calibration of Frictional Force in Atomic Force Microscopy)

  • 최덕현;황운봉;윤의성
    • 대한기계학회논문집A
    • /
    • 제28권12호
    • /
    • pp.1906-1913
    • /
    • 2004
  • A new method has been proposed for the calibration of frictional forces in atomic force microscopy. Angle conversion factor is defined using the relationship between torsional angle and frictional signal. Once the factor is obtained from a cantilever, it can be applied to other cantilevers without additional experiments. Moment balance equations on the flat surface and top edge of a commercial step grating are used to obtain angle conversion factor. Proposed method is verified through another step grating test and frictional behavior of Mica.

교차되는 스트립 라인구조에서의 빠른 커패시턴스 계산기법 (Fast Calculation of Capacitance Matrix for Strip-Line Crossings and Other Interconnects)

  • ;이동준;심덕선;양철관;김형규;김형석
    • 대한전기학회논문지:전기물성ㆍ응용부문C
    • /
    • 제53권10호
    • /
    • pp.539-545
    • /
    • 2004
  • In this paper, we consider the problem of capacitance matrix calculation for strip-line and other interconnects crossings. The problem is formulated in the spectral domain using the method of moments. Sinc-functions are employed as basis functions. Conventionally, such a formulation leads to a large, non-sparse system of linear equations in which the calculation of each of the coefficient requires the evaluation of a Fourier-Bessel integral. Such calculations are computationally very intensive. In the method proposed here, we provide simplified expressions for the coefficients in the moment method matrix. Using these simplified expressions, the coefficients can be calculated very efficiently. This leads to a fast evaluation of the capacitance matrix of the structure. Computer simulations are provided illustrating the validity of the method proposed.

원자 현미경에서 마찰력 측정을 위한 새로운 실험 기법 (A New Experimental Technique for Calibration of Frictional Force in Atomic Force Microscopy)

  • 최덕현;황운봉;윤의성;김준원;김동식
    • 대한기계학회:학술대회논문집
    • /
    • 대한기계학회 2004년도 추계학술대회
    • /
    • pp.846-851
    • /
    • 2004
  • A new method has been proposed for the calibration of frictional forces in atomic force microscopy. Angle conversion factor is defined using the relationship between torsional angle and frictional signal. Once the factor is obtained from a cantilever, it can be applied to other cantilevers without additional experiments. Moment balance equations on the flat surface and top edge of a commercial step grating are used to obtain angle conversion factor. Proposed method is verified through another step grating test and frictional behavior of Mica.

  • PDF

DYNAMIC CHARACTERISTICS OF A ROTATING TIMOSHENKO BEAM SUBJECTED TO A VARIABLE MAGNITUDE LOAD TRAVELLING AT VARYING SPEED

  • OMOLOFE, BABATOPE;OGUNYEBI, SEGUN NATHANIEL
    • Journal of the Korean Society for Industrial and Applied Mathematics
    • /
    • 제20권1호
    • /
    • pp.17-35
    • /
    • 2016
  • In this study, the dynamic behaviour of a rotating Timoshenko beam when under the actions of a variable magnitude load moving at non-uniform speed is carried out. The effect of cross-sectional dimension and damping on the flexural motions of the elastic beam was neglected. The coupled second order partial differential equations incorporating the effects of rotary and gyroscopic moment describing the motions of the beam was scrutinized in order to obtain the expression for the dynamic deflection and rotation of the vibrating system using an elegant technique called Galerkin's Method. Analyses of the solutions obtained were carried out and various results were displayed in plotted curve. It was found that the response amplitude of the simply supported beam increases with an increase in the value of the foundation reaction modulus. Effects of other vital structural parameters were also established.

차동 제동을 이용한 조향 제어 시뮬레이션 (Simulation of Vehicle Steering Control through Differential Braking)

  • 제롬살랑선네;윤여흥;장봉춘;이성철
    • 한국정밀공학회지
    • /
    • 제19권11호
    • /
    • pp.65-74
    • /
    • 2002
  • This paper examines the usefulness of a Brake Steer System (BSS), which uses differential brake forces for steering intervention in the context of Intelligent Transportation Systems (ITS). In order to help the car to turn, a yaw moment can be achieved by altering the left/right and front/rear brake distribution. This resulting yaw moment on the vehicle affects lateral position thereby providing a limited steering function. The steering function achieved through BSS can then be used to control lateral position in an unintended road departure system. A 8-DOF nonlinear vehicle model including STI tire model will be validated using the equations of motion of the vehicle. Then a controller will be developed. This controller, which will be a PID controller tuned by Ziegler-Nichols, will be designed to explore BSS feasibility by modifying the brake distribution through the control of the yaw rate of the vehicle.

A Simple Method for Identifying Mechanical Parameters Based on Integral Calculation

  • Han, Sang-Heon;Yoo, Anno;Yoon, Sang Won;Yoon, Young-Doo
    • Journal of Power Electronics
    • /
    • 제16권4호
    • /
    • pp.1387-1395
    • /
    • 2016
  • A method for the identification of mechanical parameters based on integral calculation is presented. Both the moment of inertia and the friction constant are identified by the method developed here, which is based on well-known mechanical differential equations. The mechanical system under test is excited according to a pre-determined low-frequency sinusoidal motion, minimizing the distortion, and increasing the accuracy of the results. The parameters are identified using integral calculation, increasing the robustness of the results against measurement noise. Experimental data are supported by simulation, confirming the effectiveness of the proposed technique. The performance improvements shown here are of use in the design of speed and position controllers and observers. Owing to its simplicity, this method can be readily applied to commercial inverter products.

중력 침강에 의한 입자 응집의 해석적 연구 (Analysis of Gravitational Coagulation of Aerosol Particles)

  • 진형아;정창훈;이규원
    • 한국대기환경학회지
    • /
    • 제14권4호
    • /
    • pp.303-312
    • /
    • 1998
  • To obtain the solution to the time-dependent particle size distribution of an aerosol undergoing gravitational coagulation, the moment method was used which converts the non linear integro-differential equation to a set of ordinary differential equations. A semi-numerical solution was obtained using this method. Subsequently, an analytic solution was given by approximating the collision kernel into a form suitable for the analysis. The results show that during gravitational coagulation, the geometric standard deviation increases and the geometric mean radius decreases as time increases.

  • PDF

Application of the Boundary Element Method to Finite Deflection of Elastic Bending Plates

  • Kim, Chi Kyung
    • International Journal of Safety
    • /
    • 제2권1호
    • /
    • pp.39-44
    • /
    • 2003
  • The present study deals with an approximate integral equation approach to finite deflection of elastic plates with arbitrary plane form. An integral formulation leads to a system of boundary integral equations involving values of deflection, slope, bending moment and transverse shear force along the edge. The basic principles of the development of boundary element technique are reviewed. A computer program for solving for stresses and deflections in a isotropic, homogeneous, linear and elastic bending plate is developed. The fundamental solution of deflection and moment is employed in this program. The deflections and moments are assumed constant within the quadrilateral element. Numerical solutions for sample problems, obtained by the direct boundary element method, are presented and results are compared with known solutions.

ORTHOGONAL POLYNOMIALS RELATIVE TO LINEAR PERTURBATIONS OF QUASI-DEFINITE MOMENT FUNCTIONALS

  • Kwon, K.H.;Lee, D.W.;Lee, J.H.
    • 대한수학회보
    • /
    • 제36권3호
    • /
    • pp.543-564
    • /
    • 1999
  • Consider a symmetric bilinear form defined on $\prod\times\prod$ by $_{\lambda\mu}$ = $<\sigma,fg>\;+\;\lambdaL[f](a)L[g](a)\;+\;\muM[f](b)m[g](b)$ ,where $\sigma$ is a quasi-definite moment functional, L and M are linear operators on $\prod$, the space of all real polynomials and a,b,$\lambda$ , and $\mu$ are real constants. We find a necessary and sufficient condition for the above bilinear form to be quasi-definite and study various properties of corresponding orthogonal polynomials. This unifies many previous works which treated cases when both L and M are differential or difference operators. finally, infinite order operator equations having such orthogonal polynomials as eigenfunctions are given when $\mu$=0.

  • PDF