• Title/Summary/Keyword: the cylindrical coordinates transformation

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Adaptive Control of a Nonholonomic Mobile Robot with Parametric Uncertainty (불확실한 파라미터를 갖는 비홀로노믹 이동로봇의 적응제어)

  • Baik, Jong-Ik;Yun, Tae-Ung
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.15-18
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    • 2003
  • This paper presents an adaptive control scheme for parking or regulating a nonholonomic mobile robot of an unicycle type with parameter uncertainty. The kinematics can be described with Brockett's nonholonomic integrator. The control law is designed in cylindrical coordinates together with the estimation law for the uncertain parameters such that the controlled signals converge to zero while guaranteeing the boundedness of the estimation errors. The effectiveness of the proposed scheme is demonstrated using simulations.

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A Study on the Deformation Behaviour of Bellows Subjected to Internal Pressure (내압을 받는 벨로즈의 변형 거동에 관한 연구)

  • 왕지석
    • Journal of Advanced Marine Engineering and Technology
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    • v.23 no.5
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    • pp.702-710
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    • 1999
  • U-shaped bellows are usually used to piping system pressure sensor and controller for refriger-ator. Bellows subjected to internal pressure are designed for the purpose of absorbing deformation. Internal pressure on the convolution sidewall and end collar will be applied to an axial load tend-ing to push the collar away from the convolutions. To find out deformation behavior of bellow sub-jected to internal pressure the axisymmetric shell theory using the finite element method is adopted in this paper. U-shaped bellows can be idealized by series of conical frustum-shaped ele-ments because it is axisymmetric shell structure. The displacements of nodal points due to small increment of force are calculated by the finite element method and the calculated nodal displace-ments are added to r-z cylindrical coordinates of nodal points. The new stiffness matrix of the sys-tem using the new coordinates of nodal points is adopted to calculate the another increments of nodal displacement that is the step by step method is used in this paper. The force required to deflect bellows axially is a function of the dimensions of the bellows and the materials from which they are made. Spring constant is analyzed according to the changing geometric factors of U-shaped bellows. The FEM results were agreed with experiment. Using developed FORTRAN PROGRAM the internal pressure vs. deflection characteristics of a particu-lar bellows can be predicted by input of a few factors.

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A Numerical Study on the Combined Flow and Evaporation During Spin Coating Process (증발을 고려한 회전코팅 공정에 대한 수치해석적 연구)

  • Im, Ik-Tae;Kim, Kwang-Sun
    • Proceedings of the KSME Conference
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    • 2001.11b
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    • pp.59-64
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    • 2001
  • The fluid flow, mass transfer and film thickness variation during a wafer spin coating process are numerically studied. Governing equations for the cylindrical coordinates are simplified using the similarity transformation and solved efficiently using the finite difference method. Concentration dependent viscosity and the binary diffusivity of the coating liquid are used in the analysis. The time variational velocity components of the coating liquid and the film thickness are analyzed according to the various spin speed. When the evaporation is considered, the flow decease in the early times due to the increase of the viscosity and the resultant flow resistance. Effects of the two film thinning mechanism, the flow-out and evaporation are also considered in the analysis.

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FEM Electrical Resistivity Modeling in Cylindrical Coordinates (원통 좌표계에서의 전기비저항 유한요소 모델링)

  • Choi Wonseok;Kim Jung-Ho;Park KwonGyu;Kim Hak-Soo;Suh Jung-Hee
    • Geophysics and Geophysical Exploration
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    • v.5 no.3
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    • pp.206-216
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    • 2002
  • The finite element method (FEM), a powerful numerical modeling tool for solving various engineering problems, is frequently applied to three-dimensional (3-D) modeling thanks to its capability of discretizing and simulating the shape of model with finite number of elements. Considering the accuracy of the solution and computing time in modeling of engineering problems, it is preferable to construct physical continuity and simplify mesh system. Although there exist systematic mesh generation systems for arbitrary shaped model, it is hard to model a simple cylinder in terms of 3-D coordinate system especially in the vicinity of the central axis. In this study I adopt cylindrical coordinate system for modeling the 3-D model space and define the origin of the coordinates with mathematically clear coordinate transformation. Since we can simulate the whole space with hexahedral elements, the cylindrical coordinate system is effective in handling the 3-D model structure. The 3-D do resistivity modeling scheme developed in this study provides basie principle for borehole-to-surface resistivity survey, which can be a useful tool for the application to environmental problem.