• 제목/요약/키워드: moments in the ends

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Deflections and rotations in rectangular beams with straight haunches under uniformly distributed load considering the shear deformations

  • Barquero-Cabrero, Jose Daniel;Luevanos-Rojas, Arnulfo;Lopez-Chavarria, Sandra;Medina-Elizondo, Manuel;Velazquez-Santillan, Francisco;Sandoval-Rivas, Ricardo
    • Smart Structures and Systems
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    • 제22권6호
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    • pp.689-697
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    • 2018
  • This paper presents a model of the elastic curve for rectangular beams with straight haunches under uniformly distributed load and moments in the ends considering the bending and shear deformations (Timoshenko Theory) to obtain the deflections and rotations on the beam, which is the main part of this research. The traditional model of the elastic curve for rectangular beams under uniformly distributed load considers only the bending deformations (Euler-Bernoulli Theory). Also, a comparison is made between the proposed and traditional model of simply supported beams with respect to the rotations in two supports and the maximum deflection of the beam. Also, another comparison is made for beams fixed at both ends with respect to the moments and reactions in the support A, and the maximum deflection of the beam. Results show that the proposed model is greater for simply supported beams in the maximum deflection and the traditional model is greater for beams fixed at both ends in the maximum deflection. Then, the proposed model is more appropriate and safe with respect the traditional model for structural analysis, because the shear forces and bending moments are present in any type of structure and the bending and shear deformations appear.

자성유체를 이용한 빙축열 시스템에서의 과냉각 유제에 관한 실험적 연구 (An Experimental Study of Undercooling Ends in the Ice Storage System Using Magneticfluid)

  • 이희상;전운학;이봉규;김중;황승식
    • 한국자동차공학회논문집
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    • 제7권8호
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    • pp.143-149
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    • 1999
  • In this study , the new method which is used by magneticfluid for undercooling ends and continuous ice making is introduced to ice making in the ice stroage system and its validity is studied experimentally . This study made sure how shape control of magniticfluid and instant explosure method can effect on the undercooling degree and it exchange by time change at the moments of undercooling ends and acquired the fundamental knowledge for control method about undercooling ends.

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유연한 고정단을 가진 6축 F/T 센서의 설계 (Design of Six-Component F/T Sensor with Flexible Fixed Ends)

  • 이봉희;주진원
    • 대한기계학회논문집A
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    • 제34권6호
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    • pp.771-780
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    • 2010
  • 본 논문에서는 제작이 용이한 십자형 구조를 기본구조로 사용하여 판스프링 고정단을 가진 유연한 6축 로드셀을 설계하였다. 이를 위하여 유한요소법해석을 이용하여 강체 고정단과 판스프링 고정단에 대한 변형 분석을 하였으며 이로부터 특성이 우수한 6축 힘/토크 센서를 설계하였다. 변형률 분포를 이용하여 각 축의 하중에 대한 출력변형률이 비슷한 수준이 되도록 스트레인 게이지 위치를 정하고 상호간섭 변형률이 최소화 되도록 이들로 연결된 브리지회로를 구성하였다. 강체 고정단 대신에 스프링판 고정단을 이용하면 고정 경계부의 조건을 변화시킬 수 있어서 십자형 로드셀의 특성을 획기적으로 개선시킬 수 있었다. 치수 변경을 통하여 설계된 6축 로드셀에 대한 상호 간섭오차는 모든 축에서 0으로 계산되었으며 각 축에서 발생하는 출력변형률 값도 $400\;{\mu}m/m$의 비슷한 수준으로 결정되었다.

미분구적법(DQM)을 이용한 곡선보의 외평면 좌굴해석 (Out-of-Plane Buckling Analysis of Curved Beams Using DQM)

  • 강기준
    • 한국안전학회지
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    • 제17권4호
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    • pp.189-195
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    • 2002
  • I-단면 곡선보 (curved beam)의 모멘트 하중 하에서 비틀림(warping)을 포함한 평면외 (out-of-plane)의 좌굴을 미분구적법 (DQM)을 이용하여 해석하였다. 다양한 경계조건(boundary conditions) 및 굽힘각(opening angles)에 따른 임계모멘트 (critical moments)를 계산하고, DQM의 해석결과는 해석적 해답 (exact solution) 과 비교 분석하였다. DQM은 적은 요소(grid points)를 사용하여 정확한 해석결과를 보여주었고, 두 경계조건 (고정-고정, 고정-단순지지)하에서 새로운 결과 또한 제시하였다.

양단고정 Prime과 Quadratic 포물선 아치의 면내좌굴에 관한 연구 (In-Plane Buckling of Prime and Quadratic Parabolic Arches with Fixed Ends)

  • 이병구;김종만
    • 한국농공학회지
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    • 제29권3호
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    • pp.153-162
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    • 1987
  • A numerical procedure for the analysis of slender arch buckling problems for uniform dead weight is presented in this paper. Such loading changes in the arch profile. The problem is nonlinear. The numerical procedure is limited to an inextensible analysis and to elastic behavior. Based upon a numerical integration technique developed by Newmark for straight beams, a large deflection bending analysis is combined with small deflection buckling routines to formulate the numerical procedure. The numerical procedure is composed of a combination of the numerical integration and successive approximations procedure. The results obtained in this study are as follows : 1.The critical loads obtained in this study coincide with the results by Austin so that the algorithm developed in this study is verified. 2.The numerical results are converged with good precision when the half arch is divided into 10 segments in both Prime and Quadratic section. 3.The critical loads are decreased as the ratios of rise versus span are increased. 4.The critical loads are increased as the moments of inertia at the ends are increased. 5.The critical loads of Prime section are larger than that of Quadratic section under the same profile conditions.

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압전재료와 형상기억합금을 이용한 형상제어 (Shape Control using Piezoelectric Materials and Shape Memory Alloy)

  • 박현철;황운봉;오진택;배성민
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2000년도 춘계학술대회논문집
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    • pp.1311-1320
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    • 2000
  • In this study, shape memory alloy(SMA) wires and piezoceramic actuators(PZT's) are employed in order to generate higher modes on the beam deformations. Compressive force is generated and applied to the beam by the pre-strained SMA wires attached at both ends of the beam. PZT's apply concentrated moments to several locations on the beam. Combinations of the compressive force and concentrated moments are investigated in order to understand the higher-mode deformation of beams. The first desired mode shape is obtained by controlling the temperature of the SMA wires. The first and third mode shapes are performed experimentally by heating SMA wires up to phase transformation temperature. The adaptive wing is defined as a wing whose shape parameters such as the camber, wing twist and thickness can be varied in order to change the wing shape for various flight conditions. In this research, control of the camber has been studied. The wing model consists of three plates and many ribs. Two of the plates are placed parallel to each other and they are clamped at one edge. Third plate connects the other edges of the parallel plates together. Each rib is made of SMA wire and connected to the parallel plates. It generates concentrated force and applies to the plates in oblique directions. The PZT's are bonded onto the plates and exert concentrated moments upon the plate at several locations. The object of this research is to generate various shape of wing by combining the concentrated forces and moments.

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단부 보강한 합성보(에코거더)시스템의 구조성능에 관한 실험적 연구 (Experimental Study on Structural Performance of End-reinforced Steel-beam system(Eco-girder))

  • 채흥석;류재용;정경수;문영민;최성모
    • 한국강구조학회 논문집
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    • 제22권6호
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    • pp.533-541
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    • 2010
  • H형강 보는 기둥 사이에 설치되어 건물의 각 층 바닥인 슬래브를 지지하기 위해 널리 사용되고 있다. 그러나, H형강 보의 경우 접합부가 고정단이면서 등분포하중 작용시 양 단부에 발생하는 휨 모멘트는 중앙부에 발생하는 모멘트에 비해 약 2배가량 크다. 보는 최대 모멘트에 의해 설계가 이루어지기 때문에 보 춤이 커지게 되고, 이로 인하여 각 층의 가용 공간이 줄어드는 문제점이 있다. 이를 개선하기 위해, 최대 휨 모멘트가 발생하는 H형강 보 양 단부만을 별도로 보강하면, 보 중앙부에서 발생하는 휨 모멘트로 보를 설계할 수 있다. 따라서, 단부 보강한 철골보(Eco-girder)의 구조적 성능을 분석하기 위해, 단부 보강 강판의 용도, 철근 보강, 하중전달방법 등을 변수로 하여 4개의 실험체를 제작하여 구조성능실험을 수행하였다.

Explicit expressions for inelastic design quantities in composite frames considering effects of nearby columns and floors

  • Ramnavas, M.P.;Patel, K.A.;Chaudhary, Sandeep;Nagpal, A.K.
    • Structural Engineering and Mechanics
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    • 제64권4호
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    • pp.437-447
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    • 2017
  • Explicit expressions for rapid prediction of inelastic design quantities (considering cracking of concrete) from corresponding elastic quantities, are presented for multi-storey composite frames (with steel columns and steel-concrete composite beams) subjected to service load. These expressions have been developed from weights and biases of the trained neural networks considering concrete stress, relative stiffness of beams and columns including effects of cracking in the floors below and above. Large amount of data sets required for training of neural networks have been generated using an analytical-numerical procedure developed by the authors. The neural networks have been developed for moments and deflections, for first floor, intermediate floors (second floor to ante-penultimate floor), penultimate floor and topmost floor. In the case of moments, expressions have been proposed for exterior end of exterior beam, interior end of exterior beam and both interior ends of interior beams, for each type of floor with a total of twelve expressions. Similarly, in the case of deflections, expressions have been proposed for exterior beam and interior beam of each type of floor with a total of eight expressions. The proposed expressions have been verified by comparison of the results with those obtained from the analytical-numerical procedure. This methodology helps to obtain the inelastic design quantities from the elastic quantities with simple calculations and thus would be very useful in preliminary design.

미분구적법(DQM)을 이용한 곡선보의 내평면 좌굴해석 (In-Plane Buckling Analysis of Curved Beams Using DQM)

  • 강기준;김영우
    • 한국산학기술학회논문지
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    • 제13권7호
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    • pp.2858-2864
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    • 2012
  • 곡선보 (curved beam)의 내평면 모멘트 및 등분포하중 하에서 평면내 (in-plane) 좌굴 (buckling)을 미분구적법(DQM)을 이용하여 해석하였다. 다양한 경계조건 (boundary conditions)과 굽힘각 (opening angles)에 따른 임계모멘트 및 임계하중을 계산하였다. DQM의 해석결과는 해석적 해답 (exact solution) 결과와 비교하였으며, DQM은 적은 요소 (grid points)를 사용하여 정확한 해석결과를 보여주었다. 두 경계조건(고정-고정, 단순지지-고정)하에서 새 결과를 또한 제시하였다.

Critical buckling moment of functionally graded tapered mono-symmetric I-beam

  • Rezaiee-Pajand, Mohammad;Masoodi, Amir R.;Alepaighambar, Ali
    • Steel and Composite Structures
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    • 제39권5호
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    • pp.599-614
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    • 2021
  • This study deals with the Lateral-Torsional Buckling (LTB) of a mono-symmetric tapered I-beam, in which the cross-section is varying longitudinally. To obtain the buckling moment, two concentrated bending moments should be applied at the two ends of the structure. This structure is made of Functionally Graded Material (FGM). The Young's and shear modules change linearly along the longitudinal direction of the beam. It is considered that this tapered beam is laterally restrained continuously, by using torsional springs. Furthermore, two rotational bending springs are employed at the two structural ends. To achieve the buckling moment, Ritz solution method is utilized. The response of critical buckling moment of the beam is obtained by minimizing the total potential energy relation. The lateral and torsional displacement fields of the beam are interpolated by harmonic functions. These functions satisfy the boundary conditions. Two different support conditions are considered in this study. The obtained formulation is validated by solving benchmark problems. Moreover, some numerical studies are implemented to show the accuracy, efficiency and high performance of the proposed formulation.