• Title/Summary/Keyword: Newton-Raphson

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The Influence of the Vane on the Lubrication Characteristics Between the Vane and the Rolling Piston of a Rotary Compressor

  • Cho, Ihn-Sung;Jung, Jae-Youn
    • Journal of Mechanical Science and Technology
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    • v.20 no.12
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    • pp.2242-2249
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    • 2006
  • The rolling piston type rotary compressor has been widely used for refrigeration and air-conditioning systems due to its compactness and high-speed operation. The present analysis is part of a research program directed toward maximizing the advantages of refrigerant compressors. The study of lubrication characteristics in the critical sliding component is essential for the design of refrigerant compressors. Therefore, theoretical investigation of the lubrication characteristics of a rotary compressor being used for refrigeration and air-conditioning systems was investigated. The Newton-Raphson method was used for a partial elastohydrodynamic lubrication analysis between the vane and the rolling piston of a rotary compressor. The results demonstrated that the vane thickness and the center line position of the vane significantly influenced the friction force and the energy loss between the vane and the rolling piston.

Flying Characteristics of Running Tape above Rotating Head (I) (회전헤드에 대한 주행테이프의 부상특성 ( I ))

  • 민옥기;김수경
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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    • pp.523-536
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    • 1991
  • This dissertation analyzes the running mechanism of flexible and thin tape above rotating head through the numerical simulation and the experiment. The scope of analysis is confined to the phenomena of two dimensional elasto hydrodynamic lubrication between the protruded bump on a rotating cylinder and the running tape. This model is based on the elastic deformation equation of plate and shell and Reynolds equation. Finite difference method is employed as a numerical technique to calculate (1) the distribution of pressure between the running tape and rotating bump and (2) the vertical deformation of elastic thin tape over he rotating bump under hydrodynamic pressure. In numerical analyses, the effects of bump size on flying characteristics of the tape were evaluated and examined considering the influence of tension and stiffness of tape.

Large deflection analysis of orthotropic thin circular plates using differential quadrature (미분구적법을 이용한 직교이방성 원판의 대변형 해석)

  • 이영신;박복선
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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    • pp.387-395
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    • 1991
  • Large deflection behavior of cylindrically orthotropic thin circular plates is investigated by the numerical technique of differential quadrature. Governing equations are derived in terms of transverse deflection and stress function and a Newton-Raphson technique is used to solve the nonlinear systems of equations. For small values of degree of differential quadrature (N.leq.13), as the degree of differential quadrature increases, the center deflection converges. However, as N increases further, the center deflection diverges by ill-conditioning in the weighting coefficients. As the orthotropic parameter increases, the center deflection decreases and behaves linear for the loads. At center, the stress is affected mainly by orthotropic parameter, while the stress is affected mainly by boundary condition at edge.

The Effects of Composite Laminate Layups on Nonlinear Buckling Behavior Using a Degenerated Shell Element (퇴화 쉘 요소를 사용한 적층복합재의 증분형 비선형 좌굴 현상 및 적층 레이업 효과)

  • Cho, Hee-Keun
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.15 no.1
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    • pp.50-60
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    • 2016
  • Laminate composites have a number of excellent characteristics in aspects of strength, stiffness, bending, and buckling. Buckling and postbuckling analysis of laminate composites with layups of [90/0]2s, $[{\pm}45/90/0]s$, $[{\pm}45]2s$ has been carried using the Total Lagrangian nonlinear Newton-Raphson method. The formulation of a geometrically nonlinear composite shell element based on a nonlinear large deformation method is presented. The used element is an eight-node degenerated shell element with six degrees of freedom. Square, circular cylinder, and arch panel laminate geometries were analyzed to verify the effects of the layups on the buckling and postbuckling behavior. The results showed that the effects of laminate layups on bucking and postbuckling behavior and the present formulation showed very good agreement with existing references.

Thermopiezoelastic Nonlinear Dynamic Characteristics of Piezolaminated Plates (압전적층판의 열-압전-탄성 동적 비선형 작동특성)

  • Oh, Il-Kwon
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.05a
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    • pp.662-667
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    • 2005
  • Nonlinear dynamics of active piezolaminated plates are investigated with respect to the thermopiezoelastic behaviors. For largely deformed structures with small strain, the incremental total Lagrangian formulation is presented based on the virtual work principles. A multi field layer wise finite shell element is proposed for assuring high accuracy and non-linearity of displacement, electric and thermal fields. For dynamic consideration of thermopiezoelastic snap through phenomena, the implicit Newmark's scheme with the Newton-Raphson iteration is implemented for the transient response of various piezolaminated models with symmetric or eccentric active layers. The bifurcate thermal buckling of symmetric structural models is first investigated and the characteristics of piezoelectric active responses are studied for finding snap through piezoelectric potentials and the load path tracking map. The thermoelastic stable and unstable postbuckling, thermopiezoelastic snap through phenomena with several attractors are proved using the nonlinear time responses for various initial conditions and damping loss factors. Present results show that thermopiezoelastic snap through phenomena can result in the difficulty of buckling and postbuckling control of intelligent structures.

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A Study on the FEM/GEM for Sectional Analysis of Deep Drawing Panels (딥드로잉 판넬의 단면성형 해석을 위한 유한요소법/기하학힘평형법에 관한 연구)

  • 김종필;금영덕;이종문
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1993.10a
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    • pp.212-217
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    • 1993
  • A 2-dimensional FEM/GEM program was developed for analyzing forming processes of an arbitrarily shaped draw-die, in which plane strain condition is assumed and linear line elements are employed. FEM formulation adopted a new algorithm for solving force equilibrium as well as non-penetration condition simultaneously. For the case of numerical divergence at nearly final forming stages and the initial guess in Newton-Raphson iterations, geometric force equilibrium method(GEM) is also introduced. The developed program was tested with the simulation of stamping processes of automotive bonnet inner pannel in order to verify the usefulness and validity of FEM/GEM formulation.

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Analysis of Gradually Varied Flow Considering Relative Depth in Circular Pipe (원형관에서 상대수심을 고려한 점변류 해석)

  • Kim, Minhwan;Park, Junghee;Song, Changsoo
    • Journal of Korean Society of Water and Wastewater
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    • v.21 no.3
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    • pp.287-294
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    • 2007
  • When we use the circular pipes for wastewater and storm water, we should be known the characteristics of the flow for accurate design. To elevate the design accuracy, we want to know the profile of flow. The roughness coefficient in the Manning equation is constant, but in actuality changed with the relative depth in circular pipe. This study was conducted to calculate the relative normal depth in changing the roughness coefficient (named relative roughness coefficient) with the relative depth in the analysis of gradually varied flow in the circular pipe by Newton-Raphson method. We performed the analysis of gradually varied flow using the relative normal depth and the relative roughness coefficient. We presented the 12 flow profiles with the relative depth and the relative roughness coefficient in circular pipe. The flow classification considering relative depth in circular pipe is available to analyse gradually varied flow profiles.

A Numerical Simulation of Multiphase Flow in a Discrete Fracture Network (이산 균열망에서 다상 흐름에 대한 수치모의)

  • Jeong Woo Chang;Hwang Ma ha;Ko Ick Hwan;Song Jai Woo
    • Proceedings of the Korea Water Resources Association Conference
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    • 2005.05b
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    • pp.245-249
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    • 2005
  • The numerical simulation of a two-phase flow In a discrete fracture network model is presented in this paper, The purpose of this work is to consider density-driven flows induced by the density difference between hot autochthonous heavy brines and injected cold water. Mechanical consequences of high pressure waves on the fracture permeability and heat exchanges between fluids and rock matrix are neglected in this study. The finite volume method is employed to discretize spatially and the system is solved by using an IMPES(Implicit Pressure-Explicit Saturation) scheme. In order to solve the strong non-linearity of the system, the Newton-Raphson algorithm is used. The well-known Buckeley-Leverett problem is adapted to validate results calculated from the model and a relatively good agreement is obtained.

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3-D Analysis of The Characteristics of Levitation System (부상용 전자석 특성의 3차원 해석)

  • Jeon, Dae-Yeong;Lee, Ki-Sik;Hahn, Song-Yop;Shin, Pan-Seok;Kim, Yong-Joo
    • Proceedings of the KIEE Conference
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    • 1991.07a
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    • pp.114-117
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    • 1991
  • In magnetic levitation and repulsion systems, the eddy current on the rail induced by the motion of vehicle, plays an important role on forces. The 3-dimensional finite element method is used to analyze these phenomina. The non-linear analysis is also carried out using Newton-Raphson method. The levitation, drag, and guidance forces are compared with those obtained by two-dimensional linear analysis and three-dimensional linear analysis.

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Safety Assessment of Human Body for the Electromagnetic Field of Unbalanced Power System (불평형 계통에서의 전자계에 대한 인체안전평가)

  • 김상철;송현선;김두현
    • Journal of the Korean Society of Safety
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    • v.14 no.3
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    • pp.54-62
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    • 1999
  • This paper presents a study on the safety assessment of human body for electromagnetic field at unbalanced power system. The 3-phase load flow algorithm uses Newton-Raphson method based on Taylor series expansion of power flow equations in rectangular coordinates. The use of such a method can result in a solution with good convergence characteristics. In the safety assessment of human body, the approach based on fuzzy linguistic variable is employed to overcome the shortcomings resulting from a crisp set concept. The suggested scheme is applied to a 24bus system to validate the usefulness. The results for an unbalanced power system are compared with the results for a balanced power system.

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