• 제목/요약/키워드: Moment of Inertia of Cross Section

검색결과 25건 처리시간 0.025초

변위 및 응력제약을 받는 철골구조물의 최적설계 (Optimal Design of Steel Frameworks with Displacement and Stress Constraints)

  • 정영식;정진현
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1996년도 가을 학술발표회 논문집
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    • pp.288-295
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    • 1996
  • This work presents an optimality criteria method applicable io the design of plane frames with I-shape sections. All kinds of constraints are treated properly to ensure the mathematical rigour of the method as ever. Among the various properties of a section, the cross-sectional area is chosen as the design variable associated with the member. Then other properties, moment of inertia and depth, are determined from the cross-sectional area using relationships established in advance from the sectional data for AISC standard W shapes. The optimality criteria established in this work is perfect in mathematical terms provided that the relationships between properties of a section are correct. A redesign algorithm is derived relying heavily on the Newton-Raphson method to solve the system of nonlinear constraint equations. A worked example is also Presented.

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초기 비틀림각을 갖는 비균일 박판보 블레이드의 진동제어 (Vibration Control of Pretwisted Composite Thin-walled Rotating Beam with Non-uniform Cross Section)

  • 임성남;나성수
    • 한국소음진동공학회논문집
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    • 제14권6호
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    • pp.486-494
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    • 2004
  • This paper addresses the dynamic modeling and closed-loop eigenvibration analysis of composite rotating pretwisted fan blade modeled as non-uniform thin-walled beam with bi-convex cross-section fixed at the certain presetting angle and incorporating piezoelectric induced damping capabilities. The blade model incorporates non-classical features such as transverse shear, rotary inertia and includes the centrifugal and Coriolis force field. A velocity feedback control law relating the piezoelectiriccally induced transversal bending moment at the beam tip with the appropriately selected kinematical response quantity is used and the beneficial effects upon the closed loop eigenvibration of the blade are highlighted.

일정체적 변단면 보의 정적 최적 단면 (Static Optimal Shapes of Tapered Beams with Constant Volume)

  • 이태은;강희종;김권식;이병구
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2005년도 춘계 학술발표회 논문집
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    • pp.79-86
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    • 2005
  • This paper deals with the static optimal shapes of simple beams which are subjected to a vertical point load. The area and second moment of inertia of the regular polygon cross-section of the tapered beams are determined, which have always same volume and same length for the parabolic taper. The differential equation governing the elastic curve is derived using the small deflection theory and solved numerically. By using the numerical results of deflections, rotations and bending stresses of such beams, the optimal shapes, namely, optimal section ratios, of the beams subjected to a single point load according to variation of load position parameters are determined and presented in the figures. Examples of the static optimal shapes for beams with a single load and multiple loads are reported. The design process of this study can be used directly for the minimum weight design of simple beams.

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가중치방법과 유전알고리즘을 이용한 금형가공센터 고속이송체의 다단계 최적설계 (Multi-step Optimization of the Moving Body for the High Speed Machinining Center using Weighted Method and G.A.)

  • 최영휴;배병태;강영진;이재윤;김태형
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1997년도 추계학술대회 논문집
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    • pp.23-27
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    • 1997
  • This paper introduces the structural design optimization of a high speed machining center using multi-step optimization combined with G.A.(Genetic Algorithm) and Weighted Method. In this case, the design problem is to find out the best design variables which minimize the static compliance, the dynamic compliance, and the weight of the machine structure simultaneously. Dimensional thicknesses of the thirteen structural members of the machine structure are adopted as design variables. The first step is the cross-section configuration optimization, in which the area moment of inertia of the cross-section for each structural member is maximized while its area is kept constant The second step is a static design optimization, In which the static compliance and the weight of the machine structure are minimized under some dimensional and safety constraints. The third step IS a dynamic design optimization, where the dynamic compliance and the structure weight are minimized under the same constraints. After optunization, static and dynamic compliances were reduced to 62.3% and 95.7% Eorn the initial design, while the weight of the moving bodies are also in the feaslble range.

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비대칭 연단보강재가 설치된 직교이방성 개방단면 압축재의 탄성국부좌굴 (Elastic Local Buckling of Orthotropic Open Section Compression Members with Asymmetric Edge Stiffeners)

  • 윤순종;정상균
    • Composites Research
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    • 제14권4호
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    • pp.1-7
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    • 2001
  • 본 연구는 등분포 압축을 받는 비대칭 연단보강된 직교이방성 개방단면 구조용 부재의 탄성국부좌괄에 대한 이론적 연구의 결과이다. 비대칭 연단보강재는 비틀림강성을 무시한 보요소로 간주하였다. 플랜지판의 일부와 플랜지의 연단에 부착된 판으로 구성된 비대칭 연단보강재에 대한 이론적 해석 모델을 제시하였으며, 이 결과로부터 얻어지는 비대칭 연단보강재 단면의 도심을 지나는 축에 대한 단면2차모멘트를 계산하였다. 유도된 식을 사용하여 비대칭 연단보강된 직교이방성 I형 압축재의 국부좌굴계수를 구하였으며 그 결과를 그래프로 제시하였다.

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Development of Knot Quantification Method to Predict Bending Strength Using X-ray Scanner

  • Oh, Jung-Kwon;Kim, Kwang-Mo;Lee, Jun-Jae
    • Journal of the Korean Wood Science and Technology
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    • 제36권5호
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    • pp.33-41
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    • 2008
  • This study was aimed to develop the knot quantification method to predict bending strength, using x-ray scanner. The bending strength prediction model was proposed in this paper. The model was based on Knot Depth Ratio (KDR) and closely-spaced knot was taken into account. The previous paper reported that KDR is the ratio of the knot and transit zone to the lumber thickness. Even though KDR involves transit zone, it was verified that the ratio of the moment of inertia for knot to gross cross section ($I_k/I_g$) based on KDR was a good predictor for bending strength of lumber. To take closely-spaced knot into account, a projection method was also proposed. This projection method improved the predictive accuracy significantly. It showed coefficient of determinant of 0.65 and root mean square error (RMSE) of 9.17.

복합 굴절차의 붐과 바스켓에 대한 구조 해석 (Structural Analysis of Booms and Basket in the Multi-aerial Platform)

  • 소수현;강성수
    • 한국생산제조학회지
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    • 제21권6호
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    • pp.885-891
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    • 2012
  • In this study, some structural analysis using 3D CAD data, material properties, load conditions and boundary conditions are carried out to evaluate structural stability of the multi-aerial platform for high-rise fire fighting and rescue. We conduct structural analysis for the upper structures such as turn table, booms and basket, by using a universal structural analysis program NASTRAN. As the results, there is local stress exceeding the yield strength, but it is able to relax stress concentration in a way such as changing thickness of the structure or making larger inertia moment in cross section of booms.

이차원 수치해석에 의한 강지보 성능을 고려한 숏크리트 라이닝의 부재력 평가 방법 (Evaluation methods of shotcrete lining stresses considering steel rib capacities by two-dimensional numerical analysis)

  • 하태욱;김대영;신영완;양형식
    • 한국터널지하공간학회 논문집
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    • 제10권3호
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    • pp.269-282
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    • 2008
  • 일반적으로 터널설계와 관련된 수치해석에서 강지보의 효과가 고려되지 않고 있다. 최근 연약한 지반에 위치하는 얕은 터널 건설의 증가에 따라 터널의 안정성 해석에 강지보가 굴착으로 재 분포된 하중의 일부를 부담한다는 개념 하에 숏크리트와 함께 강지보의 효과를 적용한 사례가 늘고 있다. 이와 같은 해석에서 강지보는 여러 방법으로 고려될 수 있다. 본 논문에서는 숏크리트와 강지보의 발생응력을 알아보기 위하여 FLAC 2D를 이용하여 (1) 강지보를 고려하지 않는 일반적인 방법, (2) 숏크리트의 모멘트를 고려하지 않는 등가합성단면법, (3) 숏크리트와 강지보의 압축력과 휨모멘트를 모두 고려하는 등가합성단면법, 그리고 (4) 각각의 빔 요소로서 모델링하는 방법을 포함하는 4가지 방법에 대해 수치해석을 실시하였다. 그 결과, 강지보의 지보효과를 고려한 경우가 그렇지 않은 방법에 비해 현실적이며 경제적인 설계에 접근할 수 있는 것으로 나타났다. 강지보를 고려하는 3가지 해석방법은 지반 조건에 따라 조금씩 다른 경향을 나타내므로 설계조건 및 상황에 맞는 적절한 사용이 필요하다.

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벼 도복 관련형질과 포장도복과의 관계 (Relationship Between Lodging-Related Characteristics and Field Lodging in Rice)

  • 임준택;권병선;정병관
    • 한국작물학회지
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    • 제36권4호
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    • pp.319-323
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    • 1991
  • 벼의 도복에 관련하는 형질들의 포장도복과의 관련정도를 밝혀 벼의 이도복성육종의 기초자료를 제공코져 1900년대에서 1980년대에 재배 또는 육성된 10품종을 재배하여 실험한 결과를 요약하면 다음과 같다. 1 포장도복정도와 관련정도가 높은 형질들은 간장, 단위간하중(W/l), 단위 직경휨모멘트(W1/d), 도복지수(L), 하중비(W1/P), 임계도 복하중지수 (Ws$^2$/l$^4$)등 이었다. 2. 간장은 포장도복과 높은 상관(r=0.7607)을 보이나 간장만으로 품종의 도복정도를 판정하기는 미흡하였다 3. 측정의 난역도와 소모되는 시간을 고찰해 볼 때 도복저항성을 판정하는데 유용할 형질들은 간장, W/l, W1/d, Ws$^2$/l$^4$이었다. 4. 간경, 줄기단면적, 간벽의 두께, 줄기단면의 2차 관성 모멘트는 포장도복과 아무런 상관관계를 보이지 않았다. 5. 좌절강도(S)는 포장도복과 유의한 부의 상관 (r=-0.3986)을 보였다.

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좌굴해석을 이용한 리드프레임 타발용 펀치의 보강설계 (Design of the Stiffened Punch for Stamping of Lead Frame by Buckling Analysis)

  • 고대철;이인수;안병환;김병민
    • 한국정밀공학회지
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    • 제23권9호
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    • pp.68-75
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    • 2006
  • The lead frame manufactured by stamping process plays an important role in connecting semiconductor to PCB board. As a result of the miniaturization of semiconductor, its corresponding lead frame punch has been narrow. In case of the punch with high slenderness ratio such as lead frame punch, the punch can be broken suddenly due to buckling. To prevent the fracture of lead frame punch, some manufacturers have experientially attached stiffeners to weak parts of punch. The purpose of this study, therefore, is to suggest the guideline far design of stiffened punch. The optimal position and the number of stiffeners to be attached to punch are investigated by elastic buckling analysis. The elastic buckling analysis consists of the eigenvalue buckling analysis and nonlinear buckling analysis. The critical buckling load of elastic buckling analysis is compared with that of buckling test. Finally, the guideline far attaching stiffeners is suggested through analysis of cross section of lead frame punch such as moment of inertia and eccentricity.