• Bulletin of the Korean Chemical Society
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• 제15권8호
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• pp.658-662
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• 1994

Ab initio and extended Huckel calculations have been applied to discuss the electronic structure, ring inversion barrier, and geometry of the $Cp_2TiS_3$ compound. The deformation of four membered ring in the planar geometry is originated from a second-order Jahn-Teller distortion due to the small energy gap between HOMO and LUMO on the basis of extended Huckel calculations. The puckered $C_s$ geometry is stabilized by the interaction of the $x^2-y^2$ metal orbital with the hybrid orbital in sulfur. Ab initio calculations have been carried out to explore the ring inversion process for the model $Cl_2TiS_3$ compound. We have optimized $C_s$ and $C_{2v}$ structures of the model compound at the RHF level. The energy barriers for the ring inversion are sensitive to the used basis set. With 4-31$G^*$ for the Cl and S ligands, the barriers are computed to be 8.41 kcal/mol at MP2 and 8.02 kcal/mol at MP4 level.

• Structural Engineering and Mechanics
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• 제88권2호
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• pp.109-115
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• 2023

In this paper, frequencies of zigzag structure of carbon nanotubes isinvestigated based on Donnell shell theory. These tubes are wrapped with the ring supports in the axial direction. The fundamental frequency curves displayed in article show the dependence of vibrations attributes to zigzag single walled carbon nanotubes. Various zigzag indices are introduced against the variation of length to predict the vibration. Also, the influence of ring supports is sketched with proposed structure for frequency analysis. The frequencies of zigzag tube decreases as the length increases. It is observed that the frequencies decreases with ring support and have higher frequencies without ring. The problem is formulated using Partial Differential Equation. Three expressions of modal deformation displacement functions is used for the elimination of temporal variation to form the solution in the eigen from. For the stability of present study the results are compared with experimentally and numerically in the open text.

• 항공우주시스템공학회지
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• 제11권1호
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• pp.28-34
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• 2017

유한요소해석을 이용하여 이물질이 고무 오링과 구조물에 미치는 영향과 성능을 연구했다. 오래전부터 2D 해석을 이용하여 초탄성 오링을 연구해왔다. 오링 설계 시, 접촉응력은 중요한 설계 요소이다. 접촉 응력이 가해진 압력보다 낮으면 누수, 진동, 소음, 출력 저하의 원인이 된다. 이 연구에서는 초탄성 오링을 2D와 3D로 해석하고 결과를 비교한다. 2D와 3D의 접촉 응력 결과는 거의 비슷하게 나타난다. 이물질이 있는 오링은 3D로 모델링해야하는데 모든 방향의 접촉 응력을 고려해야하기 때문이다. 3D 해석에서 간극을 달리하여 10가지 경우로 나누어 이물질이 오링과 구조물에 미치는 영향을 확인했다. 또한 접촉 응력이 가해진 압력보다 높은지 확인하였다. 따라서, 이물질이 포함된 오링은 3D 모델로 해석되어야하며 이러한 결과는 오링 설계에 포함된다.

• Korean Journal of Mathematics
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• 제22권2호
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• pp.279-288
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• 2014

The studies of reversible and 2-primal rings have done important roles in noncommutative ring theory. We in this note introduce the concept of quasi-reversible-over-prime-radical (simply, QRPR) as a generalization of the 2-primal ring property. A ring is called QRPR if ab = 0 for $a,b{\in}R$ implies that ab is contained in the prime radical. In this note we study the structure of QRPR rings and examine the QRPR property of several kinds of ring extensions which have roles in noncommutative ring theory.

• Kyungpook Mathematical Journal
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• 제61권1호
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• pp.11-21
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• 2021

We study the structure of rings whose factor rings modulo nonzero proper ideals are right duo; such rings are called right FD. We first see that this new ring property is not left-right symmetric. We prove for a non-prime right FD ring R that R is a subdirect product of subdirectly irreducible right FD rings; and that R/N∗(R) is a subdirect product of right duo domains, and R/J(R) is a subdirect product of division rings, where N∗(R) (J(R)) is the prime (Jacobson) radical of R. We study the relation among right FD rings, division rings, commutative rings, right duo rings and simple rings, in relation to matrix rings, polynomial rings and direct products. We prove that if a ring R is right FD and 0 ≠ e2 = e ∈ R then eRe is also right FD, examining that the class of right FD rings is not closed under subrings.

• 한국정보통신학회논문지
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• 제8권8호
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• pp.1719-1724
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• 2004

본 논문에서는 차세대 RF 전력 소자로 기대하고 있는 LDMOST의 BV(Breakdown; 항복전압) 특성을 향상시키는 새로운 구조를 제안하였다. 제안한 구조는 외부 전계 링이라 하며 드리프트 영역 둘레에 3차원적인 구조로 형성된다. 외부 전계 링은 드리프트 영역에서 전계를 완화시키는 역할을 함으로써 BV 특성을 향상시키는 효과를 얻을 수 있다. 3차원 TCAD 시뮬레이션 결과, 외부 전계 링의 접합깊이와 도핑 농도의 증가에 따라 LDMOST의 BV가 증가함을 확인할 수 있었다. 따라서 기존의 p+ sinker 공정을 사용하여 외부 전계 링 구조를 추가한다면 LDMOST의 BV 특성을 크게 향상 시킬 수 있다.

• Korean Journal of Mathematics
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• 제18권1호
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• pp.97-103
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• 2010

It is well known that the group ring K[G] has the nontrivial Jacobson radical if K is a field of characteristic p and G is a finite group of which order is divided by a prime p. This paper is concerned with the structure of the Jacobson radical of such a group ring.

• East Asian mathematical journal
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• 제30권5호
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• pp.617-623
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• 2014

Due to Bell, a ring R is usually said to be IFP if ab = 0 implies aRb = 0 for $a,b{\in}R$. It is shown that if f(x)g(x) = 0 for $f(x)=a_0+a_1x$ and $g(x)=b_0+{\cdots}+b_nx^n$ in R[x], then $(f(x)R[x])^{2n+2}g(x)=0$. Motivated by this results, we study the structure of the IFP when proper ideals are taken in place of R, introducing the concept of insertion-of-ideal-factors-property (simply, IIFP) as a generalization of the IFP. A ring R will be called an IIFP ring if ab = 0 (for $a,b{\in}R$) implies aIb = 0 for some proper nonzero ideal I of R, where R is assumed to be non-simple. We in this note study the basic structure of IIFP rings.

• 호남수학학술지
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• 제37권4호
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• pp.377-386
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• 2015

The symmetric ring property was due to Lambek and provided many useful results in relation with noncommutative ring theory. In this note we consider this property over centers, introducing symmetric-over-center. It is shown that symmetric and symmetric-over-center are independent of each other. The structure of symmetric-over-center ring is studied in relation to various radicals of polynomial rings.

• 대한수학회보
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• 제44권2호
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• pp.215-223
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• 2007

We in this note introduce the concept of NCI rings which is a generalization of NI rings. We study the basic structure of NCI rings, concentrating rings of bounded index of nilpotency and von Neumann regular rings. We also construct suitable examples to the situations raised naturally in the process.