• 제목/요약/키워드: skew element

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탄소성 유한요소법에 의한 박판성형 공정의 해석 II - 접촉 조건을 가지는 박판성형 공정의 해석 - (Elastic-Plastic Finite Element Analysis of Sheet Metal Forming Processes(II) - Analysis of Metal Forming Processes with Contact Condition -)

  • 심현보;정완진;양동열
    • 대한기계학회논문집
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    • 제14권5호
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    • pp.1129-1137
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    • 1990
  • 본 연구에서 사용된 유한요소 방정식은 국부 질점좌표계(natural convected coordinate system)를 이용하여 변형을 묘사하는 대변형을 고려한 탄소성 증분 수식을 사용하였고, 국부 질점 좌표계를 사용함으로써 변형도 성분이나 구성 방정식의 성분들 에 대한 좌표 변환 과정을 생략할 수 있다. 재료는 수직 이방성으로 가정하였다.

유한요소법에 의한 영구 자석형 동기 전동기의 특성 해석 (Analysis of interior-type permanent magnet synchronous motor using finite element method)

  • 김진부;원종수
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1991년도 추계학술대회 논문집 학회본부
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    • pp.91-95
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    • 1991
  • In this paper, the characteristics of IPMSM(Interior-type Permanent Magnet Synchronous Motor) are simulated using 2-Dimensional finite element method. This paper deals with the following characteristics: Air gap flux density considering skew. Back E.M.F, Torque and Inductance. Torque is calculated using current angle which is known from the controller. Direct axis inductance and Quadrature axis inductance are also calculated using energy perturbation method. This results can be used for the computation of the saliency of IPMSM. Computed results are found in satisfactory agreement with experimental ones.

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Eigenfrequencies of simply supported taper plates with cut-outs

  • Kalita, Kanak;Haldar, Salil
    • Structural Engineering and Mechanics
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    • 제63권1호
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    • pp.103-113
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    • 2017
  • Free vibration analysis of plates is necessary for the field of structural engineering because of its wide applications in practical life. Free vibration of plates is largely dependent on its thickness, aspect ratios, and boundary conditions. Here we investigate the natural frequencies of simply supported tapered isotropic rectangular plates with internal cutouts using a nine node isoparametric element. The effect of rotary inertia on Eigenfrequencies was demonstrated by calculating with- and without rotary inertia. We found that rotary inertia has a significant effect on thick plates, while rotary inertia term can be ignored in thin plates. Based on comparison with literature data, we propose that the present formulation is capable of yielding highly accurate results. Internal cutouts at various positions in tapered rectangular simply supported plates were also studied. Novel data are also reported for skew taper plates.

유한요소법을 이용한 농형유도전동기의 회전자 불량 진단에 관한 연구 (A Study on the Fault Diagnosis of Rotor Bars in Squirrel Cage Induction Motors by Finite Element Method)

  • 김창업;정용배
    • 한국자기학회지
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    • 제6권5호
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    • pp.287-293
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    • 1996
  • 농형유도전동기의 회전자는 제조 과정중에 회전자 도체의 단선, 기포 발생으로 인한 회전자 도체의 저항 증가, 스큐 불량 등 여러 가지 고장이 발생될 수 있다. 이와 같은 고장은 유도전동기의 성능을 저하시키므로 회전자를 조립하기 전에 고장 유무를판단하면 조립에 드는 제조 비용을 절약할 수 있고 전동기의 신뢰성을 높일 수 있다. 본 논문에서는 이와같은 고장을 진단하는 방법의 하나로 유한요소법을 이용하여 회전자가 회전할 때 발생하는 전자석 코일에서의 유도 전류 파형을 검출하여 고장을 진단하는 방법을 제안하였다. 제안한 방법의 타당성을 검층하기 위하여 5 Hp 삼상 농형유도전동기에 대해 고장전류를 검출하고 이를 해석 결과와 비교 분석하였다.

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유한 요소법에 의한 매입형 영구 자석 동기 전동기의 특성 해석 (Analysis of Interior-Type Permanent Magnet Synchronous Motor Using Finite Element Method)

  • Kim, Jin-Boo
    • 대한전기학회논문지
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    • 제41권7호
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    • pp.723-734
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    • 1992
  • In this paper, the characteristics of IPMSM(Interior-type Permanent Magnet Synchronous Motor) are simulated using 2-D. finite element method. This paper deals with the following characteristics : air gap flux density considering skew, back e.m.f., torque and inductance. Back e.m.f. is calculated using the flux obtained from the vector potential of FEM solution. Torque is calculated using improved Maxwell stress tensor method and current angle which is obtained from the controller. Direct axis inductance and quadrature axis inductance are also calculated using energy perturbation method. Computed results are found in satisfactory agreement with experimental ones. This method also can be applied for the computation and analysis of the characteristics of SPMSM, current-excited synchronous motor and reluctance motor.

The construction of multivariable Reissner-Mindlin plate elements based on B-spline wavelet on the interval

  • Zhang, Xingwu;Chen, Xuefeng;He, Zhengjia
    • Structural Engineering and Mechanics
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    • 제38권6호
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    • pp.733-751
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    • 2011
  • In the present study, a new kind of multivariable Reissner-Mindlin plate elements with two kinds of variables based on B-spline wavelet on the interval (BSWI) is constructed to solve the static and vibration problems of a square Reissner-Mindlin plate, a skew Reissner-Mindlin plate, and a Reissner-Mindlin plate on an elastic foundation. Based on generalized variational principle, finite element formulations are derived from generalized potential energy functional. The two-dimensional tensor product BSWI is employed to form the shape functions and construct multivariable BSWI elements. The multivariable wavelet finite element method proposed here can improve the solving accuracy apparently because generalized stress and strain are interpolated separately. In addition, compared with commonly used Daubechies wavelet finite element method, BSWI has explicit expression and a very good approximation property which guarantee the satisfying results. The efficiency of the proposed multivariable Reissner-Mindlin plate elements are verified through some numerical examples in the end.

강소성 유한요소법을 이용한 타원벌지시험의 이론 및 실험적 연구 (Theoretical and experimental study of elliptical bulge test by using a rigid plastic finite element method)

  • 정완진;양동열;한규택;백남주;김용진
    • 대한기계학회논문집
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    • 제12권3호
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    • pp.397-408
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    • 1988
  • 본 연구에서는 세가지 형상비의 연강판타원벌지 시험에 대하여 다이반경부분 의 형상과 수직이방성을 고려하여 해석고 이에 따른 실험과 비교검토하여 타원벌지시 험에서의 변형특성에 대해 논의하고자 한다. 또 불안정현상이 일어나는 압력을 예측 하여 실험에서 구한 파괴압력과 비교하여 타원벌지 시험에서의 파괴특성을 고찰하고자 한다.

Weighted sum multi-objective optimization of skew composite laminates

  • Kalita, Kanak;Ragavendran, Uvaraja;Ramachandran, Manickam;Bhoi, Akash Kumar
    • Structural Engineering and Mechanics
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    • 제69권1호
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    • pp.21-31
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    • 2019
  • Optimizing composite structures to exploit their maximum potential is a realistic application with promising returns. In this research, simultaneous maximization of the fundamental frequency and frequency separation between the first two modes by optimizing the fiber angles is considered. A high-fidelity design optimization methodology is developed by combining the high-accuracy of finite element method with iterative improvement capability of metaheuristic algorithms. Three powerful nature-inspired optimization algorithms viz. a genetic algorithm (GA), a particle swarm optimization (PSO) variant and a cuckoo search (CS) variant are used. Advanced memetic features are incorporated in the PSO and CS to form their respective variants-RPSOLC (repulsive particle swarm optimization with local search and chaotic perturbation) and CHP (co-evolutionary host-parasite). A comprehensive set of benchmark solutions on several new problems are reported. Statistical tests and comprehensive assessment of the predicted results show CHP comprehensively outperforms RPSOLC and GA, while RPSOLC has a little superiority over GA. Extensive simulations show that the on repeated trials of the same experiment, CHP has very low variability. About 50% fewer variations are seen in RPSOLC as compared to GA on repeated trials.

Bending analysis of doubly curved FGM sandwich rhombic conoids

  • Ansari, Md I.;Kumar, Ajay;Bandyopadhyaya, Ranja
    • Structural Engineering and Mechanics
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    • 제71권5호
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    • pp.469-483
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    • 2019
  • In this paper, an improved mathematical model is presented for the bending analysis of doubly curved functionally graded material (FGM) sandwich rhombic conoids. The mathematical model includes expansion of Taylor's series up to the third degree in thickness coordinate and normal curvatures in in-plane displacement fields. The condition of zero-transverse shear strain at upper and lower surface of rhombic conoids is implemented in the present model. The newly introduced feature in the present mathematical model is the simultaneous inclusion of normal curvatures in deformation field and twist curvature in strain-displacement equations. This unique introduction permits the new 2D mathematical model to solve problems of moderately thick and deep doubly curved FGM sandwich rhombic conoids. The distinguishing feature of present shell from the other shells is that maximum transverse deflection does not occur at its center. The proposed new mathematical model is implemented in finite element code written in FORTRAN. The obtained numerical results are compared with the results available in the literature. Once validated, the current model was employed to solve numerous bending problems by varying different parameters like volume fraction indices, skew angles, boundary conditions, thickness scheme, and several geometric parameters.

Free vibration analysis of power-law and sigmoidal sandwich FG plates using refined zigzag theory

  • Aman Garg;Simmi Gupta;Hanuman D. Chalak;Mohamed-Ouejdi Belarbi;Abdelouahed Tounsi;Li Li;A.M. Zenkour
    • Advances in materials Research
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    • 제12권1호
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    • pp.43-65
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    • 2023
  • Free vibration analysis of power law and sigmoidal sandwich plates made up of functionally graded materials (FGMs) has been carried out using finite element based higher-order zigzag theory. The present model satisfies all-important conditions such as transverse shear stress-free conditions at the plate's top and bottom surface along with continuity condition for transverse stresses at the interface. A Nine-noded C0 finite element having eleven degrees of freedom per node is used during the study. The present model is free from the requirement of any penalty function or post-processing technique and hence is computationally efficient. The present model's effectiveness is demonstrated by comparing the present results with available results in the literature. Several new results have been proposed in the present work, which will serve as a benchmark for future works. It has been observed that the material variation law, power-law exponent, skew angle, and boundary condition of the plate widely determines the free vibration behavior of sandwich functionally graded (FG) plate.