• 제목/요약/키워드: Maxwell stress functions

검색결과 5건 처리시간 0.019초

Easy function for solving linear elasticity problems

  • Rezaiee-Pajand, Mohammad;Karimipour, Arash
    • Structural Engineering and Mechanics
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    • 제81권3호
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    • pp.335-348
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    • 2022
  • It is well known that after finding the displacement in the structural mechanics, strain and stress can be obtained in the straight-forward process. The main purpose of this paper is to unify the displacement functions for solving the solid body. By performing mathematical operations, three sets of these key relationships are found in this paper. All of them are written in the Cartesian Coordinates and in terms of a simple function. Both analytical and numerical approaches are utilized to validate the correctness of the presented formulations. Since all required conditions for the bodies with self-equilibrated loadings are satisfied accurately, the authors' relations can solve these kinds of problems. This fact is studied in-depth by solving some numerical examples. It is found that a very simple function can be used for each formulation instead of ten different and complex displacement potentials defined by previous studies.

SEN시편에서의 무게함수 계산 (Calculation of weight functions in single edge notched specimen)

  • 안득만
    • 대한기계학회논문집
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    • 제15권2호
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    • pp.604-610
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    • 1991
  • In this paper, the weight functions for the Mode I and Mode II in SEN(single edge notched) specimen are obtained by superposition of the displacement in the singular field of the Buckner type and the displacements by opposite tractions induced by the singular field. The stress intensity factors, $K_{I}$ and $K_{II}$ are calculated by the weight function theory in SEN specimen under the loading equivalent to uniform tension and shear at infinity in Griffith crack. And the results are compared with the exact solutions.s.

외부회전자형 BLDC 전동기의 소음원 규명 (Sound Source Investigation of Outer Rotor BLDC Motor)

  • 이창민;신영훈;문정원
    • 한국소음진동공학회논문집
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    • 제22권3호
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    • pp.208-213
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    • 2012
  • With great advancement of the automobile functions, environmental factors become important performances, especially noise. This paper investigates noise sources of outer rotor type BLDC motor using in the air-conditioner of the automobiles. To this end, this paper is analyzed two viewpoints, structural and electromagnetic causes. Structural analysis is conducted through modal test and analysis. For modal analysis, 3D finite element analysis is carried out using commercial program ansys. Electromagnetic causes are analyzed from local force that is computed by Maxwell stress tensor method. Local force excites structure of motor directly. Finally, correlation analysis is performed to determine effect between noise causes.

열화물성을 고려한 차량용 플라스틱 부품의 신뢰성 기반 설계 (Reliability Based Design of the Automotive Components considering Degradation Properties of Polymeric Materials)

  • 도재혁;이종수;안효상;김상우;김석환
    • 한국자동차공학회논문집
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    • 제24권5호
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    • pp.596-604
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    • 2016
  • In this study, we used a stochastic approach for guaranteeing the reliability and robustness of the performance with regard to the design of polymer components, while taking into consideration the degradation properties and operating conditions in automobiles. Creep and tensile tests were performed for obtaining degradation properties. The Prony series, which described the viscoelastic models, were calculated to use the creep data by the Maxwell fluid model. We obtained the stress data from the frequency response analysis of the polymer components while considering the degradation properties. Limit state functions are generated by using these data. Reliability assessments are conducted under the variation of the degradation properties and area of frequency at peak response. For this study, the input parameters are assumed to be a normal distribution, and the reliability under the yield stress criteria is evaluated by using the Monte Carlo Simulation. As a result, the reliabilities, according to the three types of polymer materials in automotive components, are compared to each other and suggested the applicable possibility of polymeric materials in automobiles.

2차원 곡면형 전극에서 정전기 흡착력의 아이소-지오메트릭 해석 (Isogeometric Analysis of Electrostatic Adhesive Forces in Two-Dimensional Curved Electrodes)

  • 오명훈;김재현;김현석;조선호
    • 한국전산구조공학회논문집
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    • 제34권4호
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    • pp.199-204
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    • 2021
  • 본 논문에서는 정전기 흡착패드를 구성하는 곡면형 전극의 기하학적 엄밀성을 고려하기 위해 정전기 문제에 대하여 CAD에서 사용하는 NURBS 기저함수를 직접 사용하는 아이소-지오메트릭 해석 기법을 도입하였다. 정전기 흡착력을 곡선 접촉면에서 구하는데 법선 벡터의 영향이 크므로 엄밀한 기하형상을 고려하는 아이소-지오메트릭 해석이 강점을 갖는다. 수치 예제를 통해 곡면과 평면에서 반복 구조의 유무에 따른 파라메터 연구를 수행하여 곡면형 전극의 흡착력이 좋은 성능을 가짐을 보였다. 정전기 흡착력의 성분을 분석하였을 때 정전기 흡착력의 차이는 법선 성분 전기장의 증가로 인한 것으로 파악되었다. 결론적으로 곡면형 전극에서도 전극 사이 거리가 가까워지는 아래로 볼록인 경우가 가장 성능이 좋고, 위로 볼록인 경우에는 성능이 가장 낮음을 보였다.