• Title/Summary/Keyword: Plane of symmetry

Search Result 166, Processing Time 0.024 seconds

Natural Vibration Analysis of Thick Rings (두꺼운 링의 고유진동 해석)

  • Kim Chang-Boo;Park Jung-Woo
    • Proceedings of the KSR Conference
    • /
    • 2005.05a
    • /
    • pp.459-466
    • /
    • 2005
  • In this paper, we have systematically formulated the equations concerned to the in-plane and out-of-plane motions and deformations of a thick circular beam by using the kinetic and strain energies in order to analyse natural frequencies of a thick ring. The effects of variation of radius of curvature across the cross-section and also the effects of bending shear, extension and twist are considered. The equations of motion for natural vibration analysis of a ring are obtained utilizing the cyclic symmetry of vibration modes of the ring. The frequencies calculated using thick ring model and thin ring model are compared and discussed with the ones obtained from finite element analysis using the method of cyclic symmetry with 20-node hexahedral solid elements for rings with the different ratio of radial thickness to mean radius.

  • PDF

Evolution of Orthotropic Anisotropy by Simple Shear Deformation (전단변형에 의한 직교이방성의 변화)

  • 김권희
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.15 no.2
    • /
    • pp.413-423
    • /
    • 1991
  • Multiaxial loading by combinations of tension-torsion-internal pressure have been applied to the thins-walled tubular specimens prepared from cold drawn tubes of SAE 1020 steel. Prior to the multiaxial loading, each specimen has been twisted to different shear strains. Uniaxial tensile yield stresses measured at different angles to the tube axis clearly show that the initial orthotropic symmetry is maintained during twisting. The orthotropy axes are observed to rotate with shear strains. The plane stress yield locus measured for each twisted specimens show that yield surface shape does not remain similar during twisting and thus anisotropic work hardening is not a function of only plastic work.

Symmetry of computer-generated figures based on complex dynamics

  • Aoyama, Tomoo;Zhu, Hanxi;Yoshihara, Ikuo
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1999.10a
    • /
    • pp.222-225
    • /
    • 1999
  • We discuss the symmetry for computer-generated figures based on complex dynamics. The figures have not continuous lines, and they axe plotted on a specific region in the complex plane. They have different properties from classical figures. But we believe that they are variety of figures. The symmetric discussions are necessary because of their properties.

  • PDF

The Geometrical Analysis of Vibration Modes and Frequency Responses of an Elastically Suspended Optical Disc Drive (탄성적으로 지지된 광디스크 드라이버의 진동모드와 주파수 응답의 기하적 해석)

  • Dan, Byeong-Ju;Choe, Yong-Je
    • Transactions of the Korean Society of Mechanical Engineers A
    • /
    • v.24 no.2 s.173
    • /
    • pp.362-369
    • /
    • 2000
  • Via screw theory, a vibration mode can be geometrically interpreted as a pure rotation about the vibration center in a plane and as a twisting motion on a screw in a three dimensional space. In thi s paper, applying the conditions that can be used to diagonalize the stiffness matrix by a parallel axis congruence transformation, the vibration modes and frequency response of an elastically suspended optical disc drive have been analyzed. It is first shown that the system has one plane of symmetry, which enables one to decouple the complicated vibration modes into two sets of modes independent of each other. Having obtained the analytical solutions for the axes of vibrations, the frequency response for a given applied input force has been demonstrated. Most importantly, it has been explained that this research result could be used in the synthesis process of a linear vibration system in order to improve the frequency response.

An Adaptive Control of Symmetry Contribution Based Generalized Symmetry Transform (적응적 대칭기여도 제어 기반 일반화 대칭변환)

  • Jeon, Joon-Hyung;Lee, Seung-Hee;Park, Kil-Houm
    • Journal of Korea Multimedia Society
    • /
    • v.17 no.2
    • /
    • pp.208-217
    • /
    • 2014
  • This paper propose an adaptive control of symmetry contribution based generalized symmetry transform. which can be controlled symmetry contribution according to the intensity orientation of two pixels. In the proposed method, we define the C-D(convergent and divergent)plane which represents convergence and divergence region of gradient pairs. and used the gaussian phase wight function, with respect to the distance from the gradient pair to an extreme point, in calculating the symmetry contribution. The proposed method can be detect the object more efficiently by adaptive controlling the cut-off frequency of the gaussian phase wight function. To evaluate a performance of the proposed method, we compare the proposed method and conventional GST method in various images including IR image. we prove that the proposed method have better performance in object detection.

A Study on 3D Object Retrieval using Reflective Symmetry (반사 대칭을 이용한 3차원 오브젝트 검색에 관한 연구)

  • Song, Ju-Whan;Choi, Seong-Hee;Gwun, Ou-Bong
    • 전자공학회논문지 IE
    • /
    • v.44 no.4
    • /
    • pp.48-54
    • /
    • 2007
  • Due to the diverse utilization of multimedia, interests are increasing towards processing (saving, editing, searching, etc) three dimensional object data. This paper proposes and realizes a retrieval system for three dimensional objects using reflective symmetry. For the retrieval method, a reflective symmetric axis with a projector is used. The symmetric plane is calculated by the reflection symmetry, and the depth buffer is calculated for the symmetric plane. Then, by applying the Fourier Transform to the depth buffer, the feature vector for the object is generated and retrieved. For the sample of inquiry, the model of similar symmetry was extracted using the benchmark data from Konstantz University. Considering that most of the objects have symmetrical characteristics, the proposed method of retrieving three dimensional objects using a reflective symmetric surface is an outstanding retrieval system.

Circular Dual Mode Horn Antenna(CDMHA) with Modified Aperture to Improve E/H-Plane Radiation Pattern Symmetry (E/H 평면 방사 패턴 대칭성 향상을 위해 개구면이 변형된 원형 이중 모드 혼 안테나)

  • Kim, Jae Sik;Yoon, Ji Hwan;Yoon, Young Joong;Lee, Woo-Sang;So, Joon-Ho
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
    • /
    • v.24 no.5
    • /
    • pp.502-507
    • /
    • 2013
  • In this paper, a circular dual mode horn with modified aperture is proposed to improve a E/H-plane radiation pattern symmetry of a conventional oversized circular dual mode horn. The proposed antenna consists of a feeding section, a mode generation section and a phase matching section which has aperture shape transition from circle to ellipse or rectangle to improve a E/H-plane radiation pattern symmetry. To compare the performances between the proposed antenna and the convenional circular dual mode horn, the conventional circular dual mode horn and the proposed circular dual mode horn with rectangular aperture are fabricated and researched at 15 GHz. The measured results show that the conventional circular dual mode horn has 3.394 dB difference while the proposed antenna has only 0.539 dB difference between E and H-plane radiation patterns within the -11 dB beamwidth($53^{\circ}$) which is required beamwidth of the feed horn for the maximum aperture efficiency where f/d ratio of reflector antenna is 1.

In-plane Natural Vibration Analysis of a Circular Plate by Using finite Element Method (유한요소법을 이용한 원형 평판의 면내 고유진동 해석)

  • Kim, Chang-Boo;Kwak, Dong-Hee
    • Proceedings of the KSR Conference
    • /
    • 2009.05a
    • /
    • pp.1083-1087
    • /
    • 2009
  • We present an 1-dimensional annular disk element with which natural vibration of a circular plate can be analyzed accurately and facilely. The natural vibration characteristics of a circular plate with free outer boundary are analyzed by using the presented I-dimensional element. Its results are compared with the results obtained by utilizing 2-dimensional 8-node quadrilateral plane element and cyclic symmetry of the circular plate. And also, by comparing with the theoretical results of previous researchers, the accuracy and facility of the presented I-dimensional element are verified.

  • PDF

Symmetry Exploitation of Diffraction Gratings to Enhance the Spectral Resolution

  • Lee, Eun-Seong;Lee, Jae-Yong
    • Journal of the Optical Society of Korea
    • /
    • v.15 no.3
    • /
    • pp.216-221
    • /
    • 2011
  • A diffraction grating is a highly symmetric optical element with a physical structure that is invariant under translational spatial movements. The translational symmetry is reflected in the fields that are diffracted from the grating. Here, we introduce a plane-parallel mirror pair onto the grating, which translates the fields through double reflections, and we describe a method of exploiting the symmetry to enhance the spectral resolution of a diffraction grating beyond the limit that is set by the number of grooves. The mirror pair creates another virtual grating beside the original one, effectively doubling the number of grooves. Addition of more mirror pairs can further increase the effective number of grooves despite the increased complexity and difficulty of experimental implementation. We experimentally demonstrate the spectral linewidth reduction by a factor of four in a neon fluorescence spectrum. Even though the geometrical restriction on the mirror deployment limits our method to a certain range of the whole spectrum, as a practical application example, a bulky spectrometer that is nearly empty inside can be made compact without sacrificing the resolution.