• 제목/요약/키워드: finite type

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JACOBIAN VARIETIES OF HYPERELLIPTIC CURVES OVER FINITE FIELDS WITH THE FORMAL STRUCTURE OF THE MIXED TYPE

  • Sohn, Gyoyong
    • East Asian mathematical journal
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    • 제37권5호
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    • pp.585-590
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    • 2021
  • This paper consider the Jacobian variety of a hyperelliptic curve over a finite field with the formal structure of the mixed type. We present the Newton polygon of the characteristic polynomial of the Frobenius endomorphism of the Jacobian variety. It gives an useful tool for finding the local decomposition of the Jacobian variety into isotypic components.

JACOBIAN VARIETIES OF HYPERELLIPTIC CURVES WITH MIXED SYMMETRIC FORMAL TYPE

  • Sohn, Gyoyong
    • East Asian mathematical journal
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    • 제38권5호
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    • pp.611-616
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    • 2022
  • This paper considers the Jacobian variety of a hyperelliptic curve over a finite field with mixed symmetric formal type. We present the Newton polygon of the characteristic polynomial of the Frobenius endomorphism of the Jacobian variety. It gives a useful tool for finding the local decomposition of the Jacobian variety into isotypic components.

삼차원 유한요소 해석에 의한 골내 임프란트의 구조에 관한 연구 (THREE-DIMENSIONAL FINI6E ELEMENT ANALYSIS OF THE ENDOSSEOUS IMPLANT DESIGNS)

  • 현연근;권종진
    • 대한치과보철학회지
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    • 제35권1호
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    • pp.181-210
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    • 1997
  • The stress distribution generated in the surrounding bone was calculated and compared for various geometry of the dental implants by means of the finite element methods. The models were designed to represent the screw type endosseous implants(varing the size, shape, direction of the screw thread and the angle of the body) with supporting bone and the cylinder type endosseous implants(varing the lower portion-Round type, tapered type) with supporting bone. Static mean bite forces were applied 100N vertically and 25N horizontally on the center of the implant and three dimensional finite analysis was undertaken using software ANSYS 5.1 Version. The result demonstrated that different implant shape leads to significant variations in stress distribution in the bone. In the case of variation of the screw size, direction and shape the implant model with normally directional and triangular screw implied lower stress than with upper directional or lower directional and quadrangular screw but among models a different screw size, within a variation of 0.2mm there was no meaningful difference in maximum stress. In the case of variation of angle of body the straight implied lower stress than the tapered. As a result of analysis of cylinder type, the implants with larger radius of curvature of the round form and larger diameter of the tapered form implied lower stress.

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Memory-to-Memory방식 벡터컴퓨터에서의 외연적 유한요소법의 벡터화 (Vectorization of an Explicit Finite Element Method on Memory-to-Memory Type Vector Computer)

  • 이지호;이재석
    • 전산구조공학
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    • 제4권1호
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    • pp.95-108
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    • 1991
  • 외연적 유한요소법은 벡터처리에 적합한 구조를 가지고 있어 벡터컴퓨터를 이용하면 기존의 스칼라 컴퓨터에서보다 휠씬 빠르게 해석을 수행할 수 있다. 본 논문에서는 memory-to-memory방식의 벡터컴퓨터에서의 외연적 유한요소법의 효율적인 벡터화 방법을 제시하였다. 먼저 벡터컴퓨터의 구조적 특성과 무관하게 적용될 수 있는 일반적인 벡터화 기법을 고찰한 후 memory-to-memory방식의 벡터컴퓨터에 적합한 벡터화 기법을 개발하였다. 개발된 벡터화 기법의 유용성을 확인하기 위해 외연적 유한요소 프로그램인 DYNA3D를 memory-to-memory방식의 벡터컴퓨터인 HDS AS/XL V50에 이식한 결과 스칼라에 비해 2.4배 이상의 성능 향상을 얻을 수 있었다.

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T형 교각의 탄성변형을 고려한 슬래브교의 유한요소 해석 (Finite Element Analysis Reinforced Concrete Slab Bridge Considering Elastic deformations of Reinforced Concrete T-type Piers)

  • 이성철;윤동열
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2000년도 봄 학술발표회논문집
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    • pp.100-110
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    • 2000
  • In practical design of girder bridges or reinforced concrete slab bridges with T-type piers, it is usually assumed that vertical movements of superstructures are completely restrained at the locations of bearings(shoes) on a cap beam of the pier, The resulting vertical reactions are applied to the bearing for the calculation of bending moments and shear forces in the cap beam. However, in reality, the overhang parts of the cap beam will deform under the dead load of superstructures and the live load so that it may act as an elastic foundation. Due to the settlement of the elastic foundation, the actual distribution of the reactions at the bearings along the cap beam may be different from that obtained under the assumption that the vertical movements are fixed at the bearings. In the present study, investigated is the effects of elastic deformations of the T-type pier on the distribution of reactions at the bearings along the cap beam through 3-dimensional finite element analysis. Herein, for this purpose the whole structural system including the superstructure and piers as well is analyzed. It appears that the conventional practice which neglects the elastic deformations of the cap beam exhibits considerably different distributions of the reactions as compared with those obtained from the present finite element analysis. It is, therefore, recommended that in order to assess the reactions at bearings correctly the whole structural system be analyzed using 3-dimensional finite element analysis.

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역우산형 쌍곡포물선 쉘의 유한요소해석 (Finite Element Analysis of Inverted Umbrella-type Hyperbolic Paraboloid Shell)

  • 권홍주;유은종;나창순
    • 한국공간구조학회논문집
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    • 제11권1호
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    • pp.87-95
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    • 2011
  • 본 논문에서는 유한요소해석법을 사용하여 역우산형 쌍곡포물선쉘구조물을 해석하고 그 결과를 기존의 막이론에 의한 설계식의 결과치와 비교하였다. 또한 지붕면의 경사도를 달리하며 경사도에 따른 처짐 및 테두리보와 내부경사리브에 작용하는 부재력, 쉘면에 작용하는 막응력의 변화를 살펴보았다. 해석결과 기존의 막응력에 의한 이론해는 테두리보 및 내부경사리브에 대한 부재력을 과대평가하는 반면 막응력에 대해서는 반대로 과소평가를 하고 있는 것으로 나타났다. 유한요소법에 의해 해석한 지붕의 처짐은 경사도가 낮아짐에 따라 급격하게 증가되는 것으로 나타났다.

정상운반조건 해석을 위한 사용후핵연료집합체 유한요소모델 최적화 (Optimization of Spent Nuclear Fuel Assembly Finite Element Model for Normal Transportation Condition Analysis)

  • 김민식;박민정;장윤석
    • 한국압력기기공학회 논문집
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    • 제19권2호
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    • pp.163-170
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    • 2023
  • Since spent nuclear fuel assemblies (SFA) are transported to interim storage or final disposal facility after cooling the decay heat, finite element analysis (FEA) with simplification is widely used to show their integrity against cladding failure to cause dispersal of radioactive material. However, there is a lack of research addressing the comprehensive impact of shape and element simplification on analysis results. In this study, for the optimization of a typical pressurized water reactor SFA, different types of finite element models were generated by changing number of fuel rods, fuel rod element type and assembly length. A series of FEA in use of these different models were conducted under a shock load data obtained from surrogate fuel assembly transportation test. Effects of number of fuel rods, element type and length of assembly were also analyzed, which shows that the element type of fuel rod mainly affected on cladding strain. Finally, an optimal finite element model was determined for other practical application in the future.

형태의 변화에 따른 강압용 압전변압기의 유한요소해석 (Finite Element Analysis of Step-down Piezoelectric Transformer with Various Shape)

  • 정현호;박태곤;권오영
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2003년도 하계학술대회 논문집 Vol.4 No.2
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    • pp.697-700
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    • 2003
  • This paper presents design and analysis of step-down piezoelectric transformer for application to AC-adapters. These transformers are consist of rectangular type and disk type multilayered piezoelectric ceramic plate. This piezoelectric transformer operated in third thickness resonance vibration mode. Finite element methode(FEM) was used for analysing transformer. Vibration mode and electric field of piezoelectric transformer were simulated at resonance frequency. As results, rectangular type transformer's output voltage was higher than the disk type. But disk type transformer's current was lagger than rectangular type. These results are assumed that disk type transformer's mixed vibration mode influence transformer's output characteristics. From these results, we expect that disk type piezoelectric transformer is more adoptable than rectangular plate type piezoelectric transformer for AC adapters.

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최적정규기저를 갖는 유한체위에서의 저 복잡도 비트-병렬 곱셈기 (A Low Complexity Bit-Parallel Multiplier over Finite Fields with ONBs)

  • 김용태
    • 한국전자통신학회논문지
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    • 제9권4호
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    • pp.409-416
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    • 2014
  • 유한체의 H/W 구현에는 정규기저를 사용하는 것이 효과적이며, 특히 최적 정규기저를 갖는 유한체의 H/W 구현이 가장 효율적이다. 타입 I 최적 정규기저를 갖는 유한체 $GF(2^m)$은 m 이 짝수이기 때문에 어떤 암호계에는 응용되지 못하는 단점이 있다. 그러나 타입 II 최적 정규기저를 갖는 유한체의 경우는 NIST에서 제안한 ECDSA 의 권장 커브가 주어진 $GF(2^{233})$이 타입 II 최적 정규 기저를 갖는 등 여러 응용분야에 적용 되므로, 이에 대한 효율적인 구현에 관한 연구가 활발하게 진행되고 있다. 본 논문에서는 타입 II 최적 정규기저를 갖는 유한체 $GF(2^m)$의 연산을 정규기저를 이용하여 표현하여 확대체 $GF(2^{2m})$의 원소로 표현하여 연산을 하는 새로운 비트-병렬 곱셈기를 제안하였으며, 기존의 가장 효율적인 곱셈기들보다 블록 구성방법이 용이하며, XOR gate 수가 적은 저 복잡도 곱셈기이다.