• 한국정밀공학회:학술대회논문집
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• 한국정밀공학회 2001년도 춘계학술대회 논문집
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• pp.1113-1116
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• 2001

Recently, the needs of non-symmetric spherical lens are increasing. Machining non-symmetric spherical lens by general method is limited. This paper researches grinding machine method for non-symmetric spherical lens and accruable problems at processing lens using CAD/CAM. In addition, this paper researches the relation of curvatures to grinding wheel sizes.

• 충청수학회지
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• 제10권1호
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• pp.127-139
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• 1997

The spherical non-commutative $\mathbb{S}_{\omega}$ were defined in [2,3]. Assume that no non-trivial matrix algebra can be factored out of the $\mathbb{S}_{\omega}$, and that the fibres are isomorphic to the tensor product of a completely irrational non-commutative torus with a matrix algebra $M_k(\mathbb{C})$. It is shown that the tensor product of the spherical non-commutative torus $\mathbb{S}_{\omega}$ with the even Cuntz algebra $\mathcal{O}_{2d}$ has a trivial bundle structure if and only if k and 2d - 1 are relatively prime, and that the tensor product of the spherical non-commutative torus $S_{\omega}$ with the generalized Cuntz algebra $\mathcal{O}_{\infty}$ has a non-trivial bundle structure when k > 1.

• Smart Structures and Systems
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• 제14권2호
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• pp.225-246
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• 2014

The present paper develops piezo-thermo-elastic analysis of a thick spherical shell for generalized functionally graded piezoelectric material. The assumed structure is loaded under thermal, electrical and mechanical loads. The mechanical, thermal and electrical properties are graded along the radial direction based on a power function with three different non homogenous indexes. Primarily, the non homogenous heat transfer equation is solved by applying the general boundary conditions, individually. Substitution of stress, strain, electrical displacement and material properties in equilibrium and Maxwell equations present two non homogenous differential equation of order two. The main objective of the present study is to improve the relations between mechanical and electrical loads in hollow spherical shells especially for functionally graded piezoelectric materials. The obtained results can evaluate the effect of every non homogenous parameter on the mechanical and electrical components.

• 대한수학회보
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• 제52권4호
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• pp.1339-1351
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• 2015

In this paper, using pseudo-spherical Frenet frame of pseudo-spherical curves in hyperbolic space, we define the notion of the structure functions on the non-developable ruled surfaces with timelike ruling. Then we obtain the properties of the structure functions and a complete classification of the non-developable ruled surfaces with timelike ruling in Minkowski 3-space by the theories of the structure functions.

• 한국안광학회지
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• 제13권4호
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• pp.121-126
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• 2008

목적: 단안 과교정 및 저교정으로 유발된 부동시에서 정상적인 양안시기능을 유지하기 위해 필요한 최소한의 교정도수를 알아보고자 하였다. 방법: 안질환의 병력이 없는 20대의 성인 남녀를 대상으로 우위안 및 비우위안에 각각 과교정 및 저교정으로 부동시를 유발한 후 40 cm의 근거리에서 Titmus-fly stereotest 시표로 입체시를 측정하였다. 결과: 우위안 또는 비우위안에 구면렌즈를 부가하여 부동시를 유발한 경우, 가입도수의 증가에 따라 입체시는 감소하였으며 특히 (+)구면렌즈 가입에 따른 최초의 입체시 감소는 (-)구면렌즈 가입에 의한 입체시 감소보다 현저하였다. 또한 우위안에 유발시킨 부동시의 경우가 비우위안에 유발시킨 부동시보다 입체시 감소의 정도가 두드러졌다. 결론: 유발된 부동시에서 입체시는 비우위안을 완전교정하고 우위안에 (+)구면렌즈 도수를 증가시킬수록 두드러지게 감소하였다.

• 대한전자공학회:학술대회논문집
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• 대한전자공학회 2004년도 ICEIC The International Conference on Electronics Informations and Communications
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• pp.263-268
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• 2004

The inverse kinematics problem is to find a set of joint variable values that will place the end effector of a robot manipulator into a given pose. Pieper has shown that a sufficient condition for a manipulator to have a closed form solution is that three adjacent joint axes intersects, hence the six axes robot with spherical wrist allows closed form solution. But many industrial robots have a non-spherical wrist to provide a stronger wrist configuration so that they can handle heavy payloads. Also, the use of a non-spherical wrist can result in a cheap and simple wrist arrangement than when all three axes intersect at a common point. In these cases, closed form solutions cannot be found. Therefore numerical technique must be used to solve the inverse kinematics equations. This paper proposes a new algorithm that can be used for finding inverse kinematics solution of the six axes robot with non-spherical wrist. Computer simulations are provided to prove the usefulness of our method.

• 대기
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• 제30권1호
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• pp.75-89
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• 2020

Current in-situ airborne probes that measure the sizes of ice crystals smaller than 50 ㎛ are based on the concept that the measured intensity of light scattered by a particle in the forward and/or backward direction can be converted to particle size. The relationship between particle size and scattered light used in forward scattering probes is based on Mie theory, which assumes the refractive index of particle is known and all particles are spherical. Not only are small crystals not spherical, but also there are a wide variety of non-spherical shapes. Although it is well known that the scattering properties of non-spherical ice crystals differ from those of spherical shapes, the impacts of non-sphericity on derived in-situ particle size distributions are unknown. Thus, precise relationships between the intensity of scattered light and particle size and shape are required, as based on accurate calculations of scattering properties of ice crystals. In this study, single-scattering properties of ice crystals smaller than 50 ㎛ are calculated at a wavelength of 0.55 ㎛ using a numerically exact method (i.e., discrete dipole approximation). For these calculations, hexagonal ice crystals with varying aspect ratios are used to represent the shapes of natural small ice crystals to determine the errors caused by non-spherical ice crystals measured by forward scattering probes. It is shown that the calculated errors in sizing nonspherical ice crystals are at least 13% and 26% in forward (4~12°) and backward (168~176°) directions, respectively, and maximum errors are up to 120% and 132%.

• 한국분무공학회지
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• 제7권2호
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• pp.22-30
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• 2002

A number of droplet breakup models have been developed to predict the diesel spray. The capabilities of droplet deformation and breakup models such as TAB, ETAB, DDB and APTAB models are evaluated in modeling the non-evaporating diesel sprays injected into atmosphere. New methods are also suggested that take into account the non- spherical shape of droplets and the reduced drag force by the presence of neighbouring droplets. The KIVA calculations with standard ETAB, DDB, and APTAB models predict well the spray tip penetrations of the experiment, but overestimate the Sauter mean Diameter(SMD) of droplets. The calculation with non spherical droplets injected from the nozzle shows very similar results to the calculation with spherical droplets. The drag coefficient which is linearly increased with the time after start of injection during the breakup time gives the smaller SMD that agrees well with the experimental result.

• 대한기계학회논문집B
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• 제22권8호
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• pp.1152-1163
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• 1998

In the present work, the image processing technique for measurement of drop sizes has been improved. Firstly, the local processing concept was adopted in addition to the global processing technique to take account of non-uniformity of the illumination intensity ; thereby, basically, the measurement error can be reduced. Also, the unfocussed image of drops can be eliminated more precisely since the elimination process is based on the local normalized contrast. Secondly the algorithms to process the partially detected or overlapped drop images and the non-spherical drop images were developed. Finally, the improved algorithm was tested by using an artificially prepared image-frame, where the partial or overlapped particles and the non-spherical particles are mixed with the normal spherical ones (with their true size-distributions known a priori). The results showed that both the recognition rate of the number of particles and the measurement accuracy were improved prominently.

• 공업화학
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• 제22권6호
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• pp.631-635
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• 2011

직접산화법으로 제조한 구형 실리카졸과 비구형 실리카졸의 입자크기와 형상에 따른 산화막의 기계화학적 연마율에 미치는 영향을 연구하였다. 구형 실리카졸은 금속 실리콘 분말로부터 직접산화법에 의해 10~100 nm까지 크기별로 제조하였다. 직접산화법으로 제조한 10 nm 크기의 실리카졸에 산, 알콜, 실란과 같은 응집유도제에 의한 첨가하여 입자간 응집을 유도한 시드 졸을 제조하고, 여기에 실리콘 분말과 알칼리 촉매를 투입하여 직접산화법으로 입자를 성장하여, 두 개 이상의 입자가 응집되어 있는 실리카 시드의 형상이 유지된 상태에서 성장한 응집 비구형 실리카졸을 제조하였다. 이를 산화막 CMP에 적용하여 구형 및 비구형 실리카졸의 입자형상 및 크기에 따른 연마율을 비교하였다. 구형 실리카의 경우, 입자크기가 증가할수록 연마율은 높아졌고, 비구형 실리카졸은 평균입경이 유사한 크기의 구형 실리카 보다 더욱 높은 연마율을 나타내었다.