• Title/Summary/Keyword: 등각

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Inverse Kinematics Analysis of 7-DOF Anthropomorphic Robot Arm using Conformal Geometric Algebra (등각 기하대수를 이용한 7자유도 로봇 팔의 역기구학 해석)

  • Kim, Je-Seok;Ji, Yong-Kwan;Park, Jahng-Hyon
    • Journal of the Korean Society for Precision Engineering
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    • v.29 no.10
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    • pp.1119-1127
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    • 2012
  • In this paper, we present an inverse kinematics of a 7-dof Anthropomorphic robot arm using conformal geometric algebra. The inverse kinematics of a 7-dof Anthropomorphic robot arm using CGA can be computed in an easy way. The geometrically intuitive operations of CGA make it easy to compute the joint angles of a 7-dof Anthropomorphic robot arm which need to be set in order for the robot to reach its goal or the positions of a redundant robot arm's end-effector. In order to choose the best solution of the elbow position at an inverse kinematics, optimization techniques have been proposed to minimize an objective function while satisfying the euler-lagrange equation.

Stress Intensity Factors of a Sheet with an Eccentrically Inclined Crack Subjected to Pure Bending (편심 경사균열 을 가진 판 이 순수굽힘 을 받는 경우의 응력확대계수)

  • 최선호;조상봉
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.9 no.1
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    • pp.18-23
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    • 1985
  • In the fracture mechanics, the determination of the stress intensity factor value is vital for the prediction of a material fracture behavior. So many data concerning to the S.I.F. have been presented by many investigations to meet endless requrement. In this paper, the stress intensity factors of a sheet with an eccentrically inclined crack subjected to the pure bending moment were investigated theoretically by using of the complex mapping function to determine the Muskelishvili's comlex stress functions. Moreover, the theoretical value was compared with the result obtained from photoelastic esperiment. As a result, it was confirmed that both values coincided with satisfactorily within the margin of 2-3% devition; The results theoretically derived are right.

Pythagorean Theorem III : From the perspective of equiangular quadrilaterals (피타고라스의 정리 III : 등각사각형의 관점에서)

  • Jo, Kyeonghee
    • Journal for History of Mathematics
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    • v.33 no.3
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    • pp.155-165
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    • 2020
  • Pythagorean theorem is a proposition on the relationship between the lengths of three sides of a right triangle. It is well known that Pythagorean theorem for Euclidean geometry deforms into an interesting form in non-Euclidean geometry. In this paper, we investigate a new perspective that replaces right triangles with 'proper triangles' so that Pythagorean theorem extends to non-Euclidean geometries without any modification. This is seen from the perspective that a rectangle is an equiangular quadrilateral, and a right triangle is a half of a rectangle. Surprisingly, a proper triangle (defined by Paolo Maraner), which is a half of an equiangular quadrilateral, satisfies Pythagorean theorem in many geometries, including hyperbolic geometry and spherical geometry.

Ianiropsis (Isopoda, Asellota, Ianiridae) from Korea, with Description of a New Species (한국산 수염갯가좀속 등각류 (물좀아목, 바다좀과) 의 기재 및 1 신종)

  • 장인권;권도헌
    • Animal Systematics, Evolution and Diversity
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    • v.6 no.2
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    • pp.193-208
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    • 1990
  • Ianiropsis material collected from 11 localities of the Korean coasts were studied . Six species including one new species were identified to be new to Korea ; Ianiropsis derjugini Gurjanova, I.setifera Gurjanova, I. epilittoralis Menzies , I. tridens Menzies, I. serricaudis Gurjanova and I.koreaensis n.sp. All species are described and figured with a key to the Korean species of the Ianiropsis.

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Dynoides spinipodus , a New Species of Sphaeromatid Isopod(Crustacea) from the South Coasts of Korea (한국 남해안에서 채집된 잔벌레과 등각류(wfjwlehdanfrks 갑각상강)의 1 신종 Cynoides spinipodus)

  • 권도헌;김훈수
    • Animal Systematics, Evolution and Diversity
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    • v.2 no.1
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    • pp.43-48
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    • 1986
  • Collections of isopod custaceans from the south coasts of Korea contained a new species of sphaeromatid genus Dynoides . Description is given under the name of Dynoides spinipodus. The proposed new species is allied to D. serratisinus BArnard, 1914, D. barnardi Baker, 1928 and D.Dentisinus Shen , 1929 in the presence of a conical median process on the pleon , but it is readily distinguished by the pleotelsonic foramen without maginal teeth along its inner border.

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Experimental Verification of Electromagnetic Cloak Based on Quasi-Conformal Mapping (준등각 맵핑 기반 전자기파 투명화 구조의 실험적 검증)

  • Kim, Yongjune;Seo, Ilsung;Koh, Il-Suek;Lee, Yongshik
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.27 no.6
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    • pp.491-494
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    • 2016
  • A design method is proposed to minimize the scattering cross section(SCS) of the electromagnetic cloak based on the quasi-conformal mapping. Often times in such cloaking structures, parts that require refractive index below one are approximated with free space because of the difficulty involved with realization. In this process, preformance degradation is inevitable. In this work, the size of the cloak is optimized to compensate for the deterioration, and thus to minimize the scattering cross section of a diamond shaped conductor. Proposed cloak is fabricated using a 3D printer, and verified by measuring the cloaking performance of a diamond shaped aluminum target.

The Study on Coordinate Transformation for Updating of Digital Map from Construction Drawing Data (건설도면 자료의 수치지도 갱신을 위한 좌표체계 부여에 관한 연구)

  • Park, Seung-Yong;Lee, Jae-Bin;Park, Woo-Jin;Yu, Ki-Yun
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.27 no.2
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    • pp.281-288
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    • 2009
  • In the paper, we try to develop the methodology for updating road networks of large-scale digital maps by using construction drawing data. For the purpose, it is pre-requite step to merge road networks detached in CAD drawing data. As such, tie points are identified in neighboring drawings and used for solving the parameters of 2D conformal transformation between drawings. Then, the merged road network in CAD data is transformed to the coordinate system of digital maps. In the process, IPs in the drawings are considered as control information and 2D affine transformation is selected for coordinate transformation. Through the experiments with real dataset, we can identify that the developed method is valid and generally applicable.

A Study on Improvement of Wegmann's method by Low Frequency pass Filter (저주파 필터를 이용한 Wegmann 방법의 개량에 관한 연구)

  • Song, Eun-Jee
    • The KIPS Transactions:PartA
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    • v.8A no.4
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    • pp.503-508
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    • 2001
  • Conformal mapping is useful to solve problems in heat conduction, electrostatic potential and fluid flow involving Laplace's equation in two independent variables. Determinations of conformal maps from the unit disk onto a Jordan region eventually requires solving the Theodorsen equation which is in general nonlinear with respect to the boundary correspondence function. H bner's method which has been well known for the efficient method among the many suggestions for the Theodorsen equation, was improved in early study[1, 2]. In this paper Wegmann's method is treated that is more efficient in computation cost rather than H bner's. But we found that a question which is divergent in some difficult problems by numerical experiment of Wegmann's iteration. We analyze theoretically the cause of divergence and propose an improved method by applying a low frequency filter to the Wegmann's method. Numerical experiments by our improved method show convergence for all divergent problems by Wegmann's method.

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A Circular Load Stowing Scheme for Maintaining Weight Balance in Drones (드론 무게균형을 위한 원형의 부하 적재 방식)

  • Eun, Seongbae;Han, Sangsuk
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.25 no.2
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    • pp.314-319
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    • 2021
  • Problems that satisfy various constraints while maintaining weight balance in ships or aircraft were studied. In addition, a study was conducted to solve the problem with a mathematical method under the condition that the shape and weight of the load are the same and the m×n (m and n are all odd) mesh structures. The problem is that the existing mathematical weight balancing method is not suitable for circular structures. In this paper, we studied the load stowing problem in a circular space where objects are loaded at the vertices of N equilateral polygons. Assuming that all N conformal polygons have an even number of angles, it was proved that a loading method that always maintains weight balance regardless of the variety of number of loads. By providing the structure and loading method of the drone loading ship, we showed that our method was appropriate.