• Title/Summary/Keyword: Finite Rotation

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Analysis of Starting Torque and Speed Characteristics for Squirrel Cage Induction Motor According to Material Properties of Rotor Slot

  • Kim, Young Sun
    • Transactions on Electrical and Electronic Materials
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    • v.16 no.6
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    • pp.328-333
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    • 2015
  • Squirrel cage induction motors have mostly been used for their small capacity because the starting torque is smaller than the starting current during start-up. However, as more and more mid-to-large capacity motors are developed, the demands for improvements in performance characteristics have also increased. In this study, the starting characteristics of squirrel cage induction motors were analyzed based on the rotor materials and shapes using a finite element method to provide design data suitable for different use purposes and capacities. We further completed analysis by combining electromagnetic equations deduced from Maxwell’s equations and the circuit equations of stators and rotors. A moving coordinator was introduced to rotate the rotor during the analysis, and the torques calculated via the finite element method were combined with the motion equations to calculate the position and angular velocity of the rotors at the next time, thereby analyzing the transient characteristics. The analysis results of the transient characteristics were applied to a 3-phase 4-pole 5-hp induction motor to calculate the starting torque, speed, and rotation angle of the rotors. In the reference model, the materials and shapes of the rotor slot were changed to copper and silicon copper and a deep slot, shallow slot, and long-neck-shaped slot.

Investigation of Structural Safety of Monobloc Tubular Drive Shaft Subjected to Torque (비틀림 모멘트가 부가되는 일체형 중공 드라이브 샤프트의 구조 안정성 분석)

  • Guk, Dae-Sun;Ahn, Dong-Gyu;Lee, Ho-Jin;Jung, Jong-Hoon
    • Journal of the Korean Society for Precision Engineering
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    • v.32 no.12
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    • pp.1073-1080
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    • 2015
  • A drive shaft is used to transmit torque and rotation through the connection of components of a drive train. Recently, a monobloc drive shaft without welding regions is developed to improve the safety of the drive shaft. The drive shaft bears the shear stress induced by torque. The objective of this paper is to investigate into the structural safety of a monobloc tubular drive shaft subjected to torque. Elasto-plastic finite element (FE) analysis is performed to estimate the deformation behavior of the drive shaft and stress-strain distribution in the drive shaft. Several techniques are used to create finite element (FE) model of the monobloc tubular drive shaft subjected to torque. Through the comparison of the results of FE analyses with those of experiments from the viewpoint of rotational angle, appropriate correction coefficients for different load conditions are estimated. The safety of the tubular drive shaft is examined using the results of FE analyses for different load conditions. Finally, it is noted that the designed tubular drive shaft has a sufficient structural safety.

Spatial Post-buckling Analysis of Thin-walled Space Frames based on the Corotational Formulation (대회전을 고려한 공간 박벽 뼈대구조물의 기하 비선형 후좌굴 거동 해석)

  • Lee, Kyoung Chan;Park, Jung Il;Kim, Sung Bo;Chang, Sung Pil
    • Journal of Korean Society of Steel Construction
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    • v.19 no.6
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    • pp.599-610
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    • 2007
  • In this paper, we described a co-rotational formulation for the geometrical nonlinear analysis of three-dimensional frames. We suggested a new concept called the Zero-Twist-Section Condition (ZTSC) to decide the element coordinate system consistently. According to the ZTSC procedure, it is possible to obtain an element coordinate system and natural deformations consistently when finite displacements and rotations are induced in an element. Based on the developed procedure, numerical examples are investigated to calculate natural rotations while finite displacements are imposed on an element. Also, the developed co-rotational procedure gives accurate results in the analysis of post-buckling problems with finite rotations.

Finite element analysis for surface hardening of SM45C round bar by diode laser (다이오드 레이저를 이용한 SM45C 환봉 표면경화 열처리의 유한요소해석)

  • Cho, Hae-Yong;Kim, Kwan-Woo;Lee, Jae-Hoon;Suh, Jeong;Kim, Jong-Do
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.683-688
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    • 2007
  • Surface heat treatment of SM45C round bar by diode laser was simulated to find it's condition by using commercial finite element code MARC. Due to axisymmetric geometry, a quarter of model for SM45C round bar was considered and user subroutines were applied to boundary condition for the heat transfer. Material properties such as conductivity, specific heat and mass density were given as a function of temperature. Rotation speed of round bar and feed rate of beam were considered to design heat source model. Shape parameter values of heat source were determined by beam profile. As results, Three dimensional heat source model for diode laser beam conditions of surface hardening has been designed by the comparison between the finite element analysis results and experimental data on SM45C round bar. Diode laser surface hardening for SM45C round bar was successfully simulated and it should be useful to determine optimal heat treatment condition.

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Spin-up, Spring-back Load Analysis of KC-100 Nose Landing Gear using Explicit Finite Element Method (외연적 유한요소법을 이용한 KC-100 전방착륙장치 Spin-up, Spring-back 하중 해석)

  • Park, Ill-Kyung;Kim, Sung-Jun;Ahn, Seok-Min
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.19 no.4
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    • pp.51-57
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    • 2011
  • The spin-up and the spring-back are most severe load cases in the aircraft landing gear design. These load cases are caused by reciprocal action of complex physical phenomenon such as the friction between a tire and ground, inertia of the rotation of a tire and the flexibility of a landing gear structure. Generally, the empirical formula or the theoretical formula is used to calculate the spin-up and spring-back load in the early stage of the development program of the aircraft landing gear. After the materialization of the design of a landing gear, spin-up and spring-back load are acquired by the free drop test. In this study, the spin-up and the spring-back load of the rubber shock absorber type KC-100 nose landing gear are calculated by the explicit finite element analysis. Through this analysis, more accurate and realistic spin-up and spring back loads could be applied to the early phase of the development of the aircraft landing gear.

Effects on the Adjacent Motion Segments according to the Artificial Disc Insertion (인공 추간판 적용으로 인한 인접 운동 분절의 영향)

  • Kim, Young-Eun;Yun, Sang-Seok
    • Journal of the Korean Society for Precision Engineering
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    • v.24 no.8 s.197
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    • pp.122-129
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    • 2007
  • To evaluate the effect of artificial disc implantation and fusion on the biomechanics of adjacent motion segment, a nonlinear three-dimensional finite element model of whole lumbar spine (L1-S1) was developed. Biomechanical analysis was performed for two different types of artificial disc, ProDisc and SB $Charit{\acute{e}}$ III model, inserted at L4-L5 level and these results were also compared with fusion case. Angular motion of vertebral body, forces on the spinal ligaments and facet joint under sagittal plane loading with a compressive preload of 150 N at a nonlinear three-dimensional finite element model of Ll-S1 were compared. The implant did not significantly alter the kinematics of the motion segment adjacent to the instrumented level. However, $Charit{\acute{e}}$ III model tend to decrease its motion on the adjacent levels, especially in extension motion. Contrast to motion and ligament force changes, facet contact forces were increased in the adjacent levels as well as implanted level for constrained instantaneous center of rotation model, i.e. ProDisc model.

Prediction of Rolling Texture for Mg Alloy AZ31B Sheet using Finite Element Polycrystal Model (유한요소 다결정 모델을 이용한 마그네슘 합금 AZ31B 판재의 압연 집합 조직 예측)

  • Won S. Y.;Kim Y. S.;Na K. H.;Takahashi Hiroshi
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2004.08a
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    • pp.72-82
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    • 2004
  • The deformation mechanism of hexagonal close-packed materials is quite complicate including slips and twins. A deformation mechanism, which accounts for both slip and twinning, was investigated for polycrystalline hop materials. The model was developed in a finite element polycrystal model formulated with initial strain method where the stiffness matrix in FEM is based on the elastic modulus. We predicted numerically the texture of Mg alloy(AZ31B) sheet by using FEM based on crystal plasticity theory. Also, we introduced the recrystallized texture employed the maximum energy release theory after rolling. From the numerical study, it was clarified that the shrink twin could not be the main mechanism for shortening of c-axis, because the lattice rotation due to twin rejects fur c-axis to become parallel to ND(normal direction of plate). It was showed that the deformation texture with the pyramidal slip gives the ring type pole figure having hole in the center.

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Numerical Analysis of Laminar Flows in the Two Dimensional Sector Cavity by Finite Analytic Method in Polar Coordinate System (極座標系 有限解析法 에 의한 2次元 부채꼴 캐비티 의 層流流動 解析)

  • 배주찬;강신영
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.8 no.3
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    • pp.185-194
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    • 1984
  • The finite analytic method is extended to solve the steady two dimensional Navier-Stokes equation of stream functions and vorticity in polar coordinate system. The method is applied to calculate laminar flows in a sector cavity where the motion is induced by the rotation of the outer wall. Numerical solutions are obtained in the range of Reynolds number 0 to 5000 and aspect ratios 0.50, 1.20, 1.60 and 1.92. The finite analytic method is verfied to be accurate and fast convergent at high Reynolds numbers. It is promising as a numerical method of viscous flows and heat transfer. Flows in sector cavities show different flow structures and formation of secondary vortex with aspect ratios and Reynolds numbers in comparison with rectangular cavities.

Finite Element Analysis for Plastic Large Deformation and Anisotropic Damage (소성 대변형 및 이방성 손상의 유한요소해석)

  • I.S. Nho;S.J. Yim
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.1
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    • pp.145-156
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    • 1993
  • An improved analysis model for material nonlinearity induced by elasto-plastic deformation and damage including large strain response was proposed. The elasto-plastic-damage constitutive model based on the continuum damage mechanics approach was adopted to overcome limitations of the conventional plastic theory, which can manage the anisotropic tonsorial damages evolved during time-independent plastic deformation process of materials. Updated Lagrangian finite element formulation for elasto-plastic damage coupling problem including large deformation, large rotation and large strain problems was completed to develop a numerical model which can predict all kinds of structural nonlinearities and damage rationally. Finally, a finite element analysis code for the 2-dimensional plane problem was developed and the applicability and validity of the numerical model was investigated through some numerial examples. Calculations showed reasonable results in both geometrical nonlinear problem due to large deformation and material nonlinearity including the damage effect.

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p-Version Finite Element Analysis of Anisotropic Laminated Plates considering Material-Geometric Nonlinearities (재료-기하비선형을 고려한 이방성 적층평판의 p-Version 유한요소해석)

  • 홍종현;박진환;우광성
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.04a
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    • pp.319-326
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    • 2002
  • A p-version finite element model based on degenerate shell element is proposed for the analysis of orthotropic laminated plates. In the nonlinear formulation of the model, the total Lagrangian formulation is adopted with large deflection and moderate rotation being accounted for in the sense of von Karman hypothesis. The material model Is based on the Huber-Mises yield criterion and Prandtl-Reuss flow rule in accordance with the theory of strain hardening yield function, which is generalized for anisotropic materials by introducing the parameters of anisotropy. The model is also based on extension of equivalent-single layer laminate theory(ESL theory) with shear deformation, leading to continuous shear strain at the interface of two layers. The Integrals of Legendre Polynomials we used for shape functions with p-level varying from 1 to 10. Gauss-Lobatto numerical quadrature is used to calculate the stresses at the nodal points instead of Gauss points. The validity of the proposed p-version finite element model is demonstrated through several comparative points of view in terms of ultimate load, convergence characteristics, nonlinear effect, and shape of plastic zone

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