• Title/Summary/Keyword: 등가보

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Static and Free Vibration Analyses of Hybrid Girders by the Equivalent Beam Theory (등가보 이론을 이용한 복합 거더의 정적 및 자유진동 해석)

  • Choi, In-Sik;Ye, In-Ho
    • Journal of the Korean Society for Railway
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    • v.10 no.5
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    • pp.600-606
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    • 2007
  • 3D finite element analyses of a corrugated steel web girder and a steel truss web girder are conducted to investigate the static and dynamic behaviour of the hybrid girders. And the analyses results are compared with those by the equivalent beam theory. The equivalent theory is a theory that all section properties of a truss structure are replaced by section properties of a beam including a shear coefficient. When applying the equivalent beam theory, the shear coefficient of the corrugated steel web girder is estimated as the area ratio of flange section to web section and that of the steel truss web girder is calculated by the equation proposed by Abdel. Static deflections and natural frequencies by 3D finite element analyses and those by the equivalent beam theory are in good agreement.

Fundamental Natural Frequency Analysis of Stepped Cantilever Beams by Equivalent Beam Transformation Technique (계단형 외팔보의 등가보 변환에 의한 기본고유진동수 해석)

  • Moon, Sang-Pil;Hong, Soon-Jo
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.21 no.4
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    • pp.401-410
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    • 2008
  • The natural frequency of a beam plays an important role in not only vibration analysis but also understanding its dynamic characteristics. It is complicated to analyse the natural frequency of a stepped beam with discontinuously varying section. Approximate analysis methods such as Rayleigh-Ritz method, FEM, etc. are frequently used for the vibration analysis of stepped beams. In such a case, accuracy of these methods depends upon the number of partitioned elements, the number of the iterations in calculation and the assumed mode shape. This study presents an approximate analysis method for the fundamental natural frequency analysis of stepped cantilever beam, using equivalent beam transformation technique. Validity and usefulness are verified by comparing the proposed method with FEM for several example problems.

Eigenvalue Analysis of Symmetrically Stepped Beams by Equivalent Beam Transformation (대칭단헝 단순보의 등가보 변환에 의한 고유치 해석)

  • Jung Jae-Chul;Moon Sang-Pil
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.19 no.1 s.71
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    • pp.55-62
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    • 2006
  • The natural frequency of a beam plays a critical role in the dynamic analysis of beams. Especially it is a complicated and difficult task to analyse the natural frequency of a stepped beam with an irregularly varying section. The lumped mass methods, multi-degree of freedom analyses, are mainly used for the analysis of this kind of stepped beams. The accuracy of these methods are determined by the number of the partitions of elements, the number of the iterations in calculation, and the accuracy of assumed mode shapes. This study presents a method of transformation from symmetrically stepped beams to an equivalent beam and a method of the eigenvalue analysis. Appropriateness and utility of this method are demonstrated by comparing examples from other literatures and various models.

Comparison and validation of Brass mesh bolus using tissue equivalent bolus in the breast cancer radiotherapy (유방암 방사선치료시 조직등가보상체와의 비교를 통한 Brass mesh bolus의 유용성 평가)

  • Bong, Juyeon;Kim, Kyungtae;jeon, Mijin;Ha, Jinsook;Shin, Dongbong;Kim, Seijoon;Kim, Jongdae
    • The Journal of Korean Society for Radiation Therapy
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    • v.29 no.1
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    • pp.93-101
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    • 2017
  • Purpose: In breast cancer radiotherapy, brass mesh bolus has been recently studied to overcome disadvantage of conventional bolus. The purpose of this study is to investigate the stability of first introduced the brass mesh in the country, and evaluate the skin surface dose of that. Materials and Methods: The measurement of skin surface dose was evaluated to verify similar thickness of the Brass mesh bolus that compared conformal tissue equivalent bolus with 5 mm thickness. We used 6 MV photons on an ELEKTA VERSA linear accelerator and optically stimulated luminescent dosimeter (OSLD). In addition, two opposed beam using IMRT phantom was applied to comparative study of brass mesh bolus between tissue equivalent bolus. Results: The results showed that similar thickness of the Brass mesh bolus was 3 mm compared with 5 mm tissue equivalent bolus by measuring the skin surface dose of solid phantom. The surface dose for IMRT thorax phantom using 3 mm brass mesh bolus was about 1.069 times greater than that using tissue equivalent bolus. Conclusion: In this study, we found that the brass mesh bolus improved better reduction of skin sparing effect and dose uniformity than tissue equivalent bolus. However evaluation for various clinic cases should be investigated.

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On the Reconstruction of the Sound Field Using the Regularized Equivalent Source Method (정규화된 등가음원법을 이용한 음장의 재구성)

  • Jeon In-Youl;Ih Jeong-Guon
    • Proceedings of the Acoustical Society of Korea Conference
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    • spring
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    • pp.213-216
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    • 2004
  • 본 연구에서는 복잡한 형상을 가진 음원으로부터 방사하는 음장을 등가음원법 (equivalent source method)을 이용하여 재구성한다. 일반적인 등가음원법의 기본 원리는 진동하는 물체의 표면 또는 내부에 등가음원을 분포시켜서 등가음원의 강도를 계산하는 방법이다. 각 등가음원의 강도는 음원의 경계 조건이나 측정된 음장 음압을 통해서 구할 수가 있으며 사용된 등가음원의 차수, 개수 그리고 위치 등은 고려되어야 할 중요한 변수들이다. 기존의 HELS (Helmholtz equation least square) 방법은 한 곳의 위치에 다양한 차수로 이루어진 등가음원을 사용하여 각 차수의 계수를 구하는 방법으로써 구형에 가까운 음원에 대해서 좋은 결과를 보이나 음장의 결과가 최대 차수의 선택에 따라서 큰 오차를 유발하는 문제점이 있다. 따라서 정규화 기법을 사용하여 음장을 재구성하기 위해 필요한 등가음원의 최적 차수를 구하고, 음원 내부에 최적 차수로 이루어진 등가음원을 여러 개의 점에 위치시켜서 재구성 정확도를 향상시켰다. 정규화된 등가음원법의 타당성 검증을 위하여 표면 일부가 진동하는 구에 대한 수치 해석 및 청소기 모델에 대한 음장 재구성 실험 을 수행하였다.

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Estimation of Equivalent Hydrodynamic Coefficients by Bean Permutation Technique (보치환법에 의한 등가 유체력계수 산정)

  • 박춘군
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.12 no.2
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    • pp.81-86
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    • 2000
  • For on-shore structures, dynamic analysis becomes increasingly important as the water depth increases and the structural configuration becoines slenderer. In this study, an estimation method for equivalent three dimensional (30) hydrodynamic coefficients is introduced as a part of beam permutation technique development. The beam pemlUtation technique is being developed for obtaining an equivalent beam to a frame structure in order to reduce the degrees of freedom and thus the analysis time significantly. Two 3D structures are used in order to verify the obtained equivalent 3D hydrodynamic coefficients. Two commercial softwares, ANSYS and SACS, are used for the verification. The results of the present analysis are found to be satisfactory in comparison with those by the two softwares.

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Finite Element Eigen Analysis of Undamped Beam Structure with Composite Sections (복합단면을 갖는 비 감쇠 보 구조물의 유한요소 고유치 해석)

  • Park, Keun-Man;Cho, Jin-Rae;Jung, Weui-Bong;Bae, Soo-Ryong
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.6
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    • pp.691-697
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    • 2007
  • Numerical eigen analysis of beam-like structure can be easily and effectively done by various conventional beam theory-based methods. However, in case of the structures composed of composite-sectioned beams, the application of conventional numerical methods requires one to derive both equivalent material and geometry properties. In the present paper, these equivalent properties are derived by the transformed section method and the test FEM program is coded. The numerical accuracy of the proposed method is verified through the comparison with the ANSYS 3-D model.

Equivalent Beam Modeling Technique and Experimental Verification of Corrugated Flexible Joint Bend Considering Strain Energy (변형에너지를 고려한 파형 플렉시블조인트 곡선부의 등가보 해석기법 및 실험적 검증)

  • Kim, Jin-Gon
    • Journal of the Korean Society for Precision Engineering
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    • v.25 no.8
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    • pp.57-64
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    • 2008
  • Corrugated flexible joint with bellows shape is widely used in many industrial fields as it provides a relatively simple means of absorbing mechanical vibration and deformation due to its inherent flexibility. In this study, an effective equivalent beam modeling technique of corrugated flexible joint bend using a commercial CAE software is proposed to reduce the excessive efforts and costs required for three dimensional shell modelling in vibration analysis of bellows shape structure. When this simple and practical technique, based on the strain energy concept, is employed to modify the beam sectional properties of the flexible joint bend, quite satisfactory results can be obtained.

Continuation of potential data by measns of equivalent source method (등가샘(equivalent source) 기법을 이용한 포텐셜 자료 처리)

  • Rim, Hyoung-Rea;Park, Young-Sue;Lim, Mu-Taek;Shin, Young-Hong
    • 한국지구물리탐사학회:학술대회논문집
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    • 2010.10a
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    • pp.155-156
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    • 2010
  • 포텐셜 자료의 해석을 위해서는 상하향 연속을 이용하는 경우가 많다. 빠른 계산과 다양한 적용성 때문에 FFT(Fast Fourier Transform)을 이용한 상하향 연속을 주로 사용하는데, FFT를 적용하기 위해서는 격자망 형태로 얻어진 자료가 필요하다. 현장 중자력 자료는 보통 산발적(scattered)으로 얻어지기 때문에 FFT를 수행하기 위하여 격자망 자료로 변환하는 격자화(gridding) 과정에서 계산적인 오차가 발생한다. 반면 등가샘(equivalent source) 방법은 주어진 자료에 맞는 가상의 샘(source)들의 조합을 생성하고, 구해진 샘들의 조합으로부터 임의의 영역에서 필드값을 구하므로 격자화 과정이 필요없다. 이 연구의 목적은 등가샘 방법의 필요성을 보이고 여러 가지 등가샘 알고리즘을 비교분석하고 현장 자료에 사용하기 적합한 등가샘 방법들을 보여주는데 있다. 그림 1에서 보듯이 FFT를 사용한 상향 연속은 FFT 이론상 전 영역에 대한 적분이 필요하나 현장에서는 일부분의 자료만을 획득할 수 있으므로 상향 연속에서 정확한 자력값으로 연속을 수행하는 것은 불가능하다. 그러나 주어진 값들로 등가샘을 구성하여 상향 연속을수행한 결과는 상대적으로 보다 정확한 해에 도달한다. 또한 등가샘 방법을 이용한 연속의 장점은 그림 2와 같이 얻어진 자료의 높이가 서로 다른 자료를 주어진 높이로 연속을수행할 수 있다는 점이다. 또한 한번 등가샘들을 구성하면 이를 이용하여 격자화, 필터링 등을 해석을 위한 기초 자료처리에 적용할 수 있다.

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Strength Estimation of Die Cast Beams Considering Equivalent Porous Defects (다이캐스팅 보의 등가 기공결함을 고려한 강도평가)

  • Park, Moon Shik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.41 no.5
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    • pp.337-343
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    • 2017
  • As a shop practice, a strength estimation method for die cast parts is suggested, in which various defects such as pores can be allowed. The equivalent porosity is evaluated by combining the stiffness data from a simple elastic test at the part level during the shop practice and the theoretical stiffness data, which are defect free. A porosity equation is derived from Eshelby's inclusion theory. Then, using the Mori-Tanaka method, the porosity value is used to draw a stress-strain curve for the porous material. In this paper, the Hollomon equation is used to capture the strain hardening effect. This stress-strain curve can be used to estimate the strength of a die cast part with porous defects. An elastoplastic theoretical solution is derived for the three-point bending of a die cast beam by using the plastic hinge method as a reference solution for a part with porous defects.