• 제목/요약/키워드: Geometrical beam

검색결과 251건 처리시간 0.02초

Innovative displacement-based beam-column element with shear deformation and imperfection

  • Tang, Yi-Qun;Ding, Yue-Yang;Liu, Yao-Peng;Chan, Siu-Lai;Du, Er-Feng
    • Steel and Composite Structures
    • /
    • 제42권1호
    • /
    • pp.75-90
    • /
    • 2022
  • The pointwise equilibrium polynomial (PEP) element considering local second-order effect has been widely used in direct analysis of many practical engineering structures. However, it was derived according to Euler-Bernoulli beam theory and therefore it cannot consider shear deformation, which may lead to inaccurate prediction for deep beams. In this paper, a novel beam-column element based on Timoshenko beam theory is proposed to overcome the drawback of PEP element. A fifth-order polynomial is adopted for the lateral deflection of the proposed element, while a quadric shear strain field based on equilibrium equation is assumed for transverse shear deformation. Further, an additional quadric function is adopted in this new element to account for member initial geometrical imperfection. In conjunction with a reliable and effective three-dimensional (3D) co-rotational technique, the proposed element can consider both member initial imperfection and transverse shear deformation for second-order direct analysis of frame structures. Some benchmark problems are provided to demonstrate the accuracy and high performance of the proposed element. The significant adverse influence on structural behaviors due to shear deformation and initial imperfection is also discussed.

Vibration of bio-inspired laminated composite beams under varying axial loads

  • Tharwat Osman;Salwa A. Mohamed;Mohamed A. Eltaher;Mashhour A. Alazwari;Nazira Mohamed
    • Steel and Composite Structures
    • /
    • 제50권1호
    • /
    • pp.25-43
    • /
    • 2024
  • In this article, a mathematical model is developed to predict the dynamic behavior of bio-inspired composite beam with helicoidal orientation scheme under variable axial load using a unified higher order shear deformation beam theory. The geometrical kinematic relations of displacements are portrayed with higher parabolic shear deformation beam theory. Constitutive equation of composite beam is proposed based on plane stress problem. The variable axial load is distributed through the axial direction by constant, linear, and parabolic functions. The equations of motion and associated boundary conditions are derived in detail by Hamilton's principle. Using the differential quadrature method (DQM), the governing equations, which are integro-differential equations are discretized in spatial direction, then they are transformed into linear eigenvalue problems. The proposed model is verified with previous works available in literatures. Parametric analyses are developed to present the influence of axial load type, orthotropic ratio, slenderness ratio, lamination scheme, and boundary conditions on the natural frequencies of composite beam structures. The present enhanced model can be used especially in designing spacecrafts, naval, automotive, helicopter, the wind turbine, musical instruments, and civil structures subjected to the variable axial loads.

영상유도 양성자치료를 위한 콘빔 CT 재구성 알고리즘: 기하학적 보정방법에 관한 연구 (Geometric Calibration of Cone-beam CT System for Image Guided Proton Therapy)

  • 김진성;조민국;조영빈;윤한빈;김호경;윤명근;신동호;이세병;이레나;박성용;조관호
    • 한국의학물리학회지:의학물리
    • /
    • 제19권4호
    • /
    • pp.209-218
    • /
    • 2008
  • IMRT, 양성자 치료와 같이 방사선 치료 기술이 발전할수록 치료 시 환자의 위치를 확인하고 그 정확성을 평가하는 기술의 중요성이 강조되고 있다. 현재 국립암센터 양성자치료센터에 설치되어 있는 양성자 치료기의 단순 X-선 영상시스템을 이용하여 콘빔 CT (cone-beam CT) 3차원 영상을 획득, 영상유도 방사선 치료의 가능성을 확인하고자 하였다. 양성자 치료기에 설치되어있는 X-선 영상시스템(SDD: 2,108 mm, SOD: 1,511 mm, Varian a277 x-ray tube & Varian Paxscan 4030: a-Si+DRZ screen)을 이용하여 양성자 갠트리를 $2^{\circ}$씩 회전시켜가면서 기하학적인 오차 측정을 위한 팬톰과 인체 팬톰 (Humanoid phantom, Rando, CA, USA)의 투사영상을 획득하였다. 현재 시스템적으로 연속적인 회전과 영상획득이 지원되지 않아서 영상획득 후 갠트리를 회전하는 방법으로 투사영상을 획득하였다. 기하학적 오차측정을 위한 팬텀과 두경부 팬텀에 대해서 $360^{\circ}$를 회전하며 180장의 투사영상($2,304{\times}3,200$, 14 bit with 127${\mu}m$ pixel pitch)을 관전압 85 kVp, 관전류 80 mA, 조사시간 0.5 s의 조건으로 촬영하였다. 콘빔 CT 영상재구성을 위해 Ram-Lak filter를 적용한 Feldkamp cone-beam 알고리즘을 사용하였으며, 획득한 180장의 투사영상을 사용하여 $0.4{\times}0.4{\times}0.4mm^3$의 voxel size를 가진 $512{\times}512{\times}512$ CT영상을 재구성하였다. 기하학적인 오차 측정방법을 통해 X-선 선원, 검출기와 갠트리의 기하학적 정보를 측정하였다. 측정된 결과에 의하면 검출기가 $0.25^{\circ}$ 회전된 오차를 보이는 것을 발견하였다. 기하학적 교정으로 재구성된 콘빔 CT 영상을 multi-planar view (axial, sagittal and coronal view) 및 3차원 영상으로 재구성하여 비교 평가 하였다. 현재 양성자치료기에 설치되어있는 단순 X-선 영상 시스템에서 기하학적 오차 측정을 위한 볼 팬텀을 이용하여 시스템의 오차를 측정하였다. 측정한 오차를 바탕으로 기하학적 교정을 통해서 두경부 및 복부 팬텀에 대한 3차원 영상인 콘빔 CT 영상들을 재구성하였다. 추후 연속적인 회전을 통한 영상획득이 가능하게 된다면, 보다 정확하고 신속한 영상재구성이 가능 하며 콘빔 CT가 영상유도 양성자 치료에 매우 유용할 것으로 사려된다.

  • PDF

레이저빔을 이용한 표면거칠기 및 파상도의 in-process 검출 (In-process Detection of Surface Roughness and Waviness Using Laser Beam)

  • 김희남
    • 한국공작기계학회:학술대회논문집
    • /
    • 한국공작기계학회 1997년도 추계학술대회 논문집
    • /
    • pp.254-259
    • /
    • 1997
  • The measurement of surface roughness and waviness by means of noncontact method is an important area to be developed for GAC(Geometrical Adaptive Control) system. This paper deal with the design of noncontact in-process measurement system which measures the surface roughness and waviness during cylindrical grinding. This measuring system is simple and the apparatus proposed is composed of a laser unit, photodetector and optical system. During operation, the surface of a workpiece is continuously scanned by a laser beam. This method makes it possible to detect the surface roughness and waviness along the feed direction by control the spot diameter of laser beam. The experimental results show that the presence of chattering, loading and glazing can be detected sensitively along the feed directions.

  • PDF

Dynamic buckling of smart sandwich beam subjected to electric field based on hyperbolic piezoelasticity theory

  • Shokravi, Maryam
    • Smart Structures and Systems
    • /
    • 제22권3호
    • /
    • pp.327-334
    • /
    • 2018
  • In this paper, dynamic buckling of the smart subjected to blast load subjected to electric field is studied. The sandwich structure is rested on Pasternak foundation with springs and shear elements. Applying piezoelasticity theory and hyperbolic shear deformation beam theory (HSDBT), the motion equations are derived by energy method. For calculating the dynamic instability region (DIR) of the sandwich structure, differential quadrature method (DQM) along with Bolotin method is used. The aim of this study is to investigate the effects of applied voltage, geometrical parameters of structure and boundary conditions on the DIR of the structure. The results show that applying negative voltage, the DIR will be happened at higher excitation frequencies. In addition, the clamped-clamped beam leads to higher excitation frequency with respect to simply supported boundary condition.

RC 연속보의 최적설계를 위한 GUI 프로그램 개발 (The Development of Graphic User Interface Program for Optimum Design of RC Continuous Beam)

  • 한상훈;조홍동;박중열
    • 한국콘크리트학회:학술대회논문집
    • /
    • 한국콘크리트학회 1999년도 봄 학술발표회 논문집(I)
    • /
    • pp.245-250
    • /
    • 1999
  • In this study, the development of graphic user interface(GUI) program for optimum design of RC continuous beam is dealt. Optimum design problem that satisfies strength, serviceability, durability and geometrical conditions is formulated as a non-linear programming problem(NLP) in which the objective function as well as the constraints are highly non-linear on design variables such as cross sectional dimensions and steel ratio. Optimum design problem is solved by NLP techniques namely, sequential linear programming(SLP), sequential convex programming(SCP). Numerical examples of R.C. continuous beam using GUI system are given to show usefulness of GUI system for practical design work and efficiency of algorithm for the NLP techniques.

  • PDF

비정질 실리콘을 이용한 미세 피치 적외선 이미지 센서 제조 및 특성 (Fabrication and characterization of fine pitch IR image sensor using a-Si)

  • 김경민;김병일;김희연;장원수;김태현;강태영
    • 센서학회지
    • /
    • 제19권2호
    • /
    • pp.130-136
    • /
    • 2010
  • The microbolometer array sensor with fine pitch pixel array has been implemented to the released amorphous silicon layer supported by two contact pads. For the design of focal plane mirror with geometrical flatness, the simple beam test structures were fabricated and characterized. As the beam length decreased, the effect of beam width on the bending was minimized, Mirror deformation of focal plane in a real pixel showed downward curvature by residual stress of a-Si and Ti layer. The mirror tilting was caused by the mis-align effect of contact pad and confirmed by FEA simulation results. The properties of bolometer have been measured as such that the NETD 145 mK, the TCR -2 %/K, and thermal time constant 1.99 ms.

탄소나노튜브 엑츄에이터의 설계에서의 유한요소모델링 기법 (Finite Element Modeling of a Carbon Nanotube Actuator)

  • 김정택;현석정;김철
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2004년도 춘계학술대회논문집
    • /
    • pp.559-562
    • /
    • 2004
  • Carbon nanotube is a geometrical frame-like structure and the primary bonds between two nearest-neighboring atoms act like beam members, whereas an individual atom acts as the joint of the related beam members. The sectional property parameters of these beam members are obtained from molecular mechanics. Computations of the elastic deformation of single-walled carbon nanotubes reveal that the Young's moduli of carbon nanotubes vary with the tube diameter and are affected by their helicity. With increasing tube diameter, the Young's moduli of carbon nanotubes approach the Young's modulus of graphite.

  • PDF

Temperature variation in steel beams subjected to thermal loads

  • Abid, Sallal R.
    • Steel and Composite Structures
    • /
    • 제34권6호
    • /
    • pp.819-835
    • /
    • 2020
  • The effects of atmospheric thermal loads on the response of structural elements that are exposed to open environments have been recognized by research works and design specifications. The main source of atmospheric heat is solar radiation, which dominates the variation of the temperature of air, earth surface and all exposed objects. The temperature distribution along the depth of steel members may differ with the geometry configuration, which means that the different-configuration steel members may suffer different thermally induced strains and stresses. In this research, an experimental steel beam was instrumented with many thermocouples in addition to other sensors. Surface temperatures, air temperature, solar radiation and wind speed measurements were recorded continuously for 21 summer days. Based on a finite element thermal analysis, which was verified using the experimental records, several parametric studies were directed to investigate the effect of the geometrical parameters of AISC standard steel sections on their thermal response. The results showed that the overall size of the beam, its depth and the thickness of its elements are of significant effect on vertical temperature distributions and temperature differences.

유연보의 동역학 해석에 대한 선형 및 비선형 유한요소 정식화 (Formulations of Linear and Nonlinear Finite Element for Dynamic Flexible Beam)

  • 윤성호
    • 한국정밀공학회지
    • /
    • 제23권2호
    • /
    • pp.113-121
    • /
    • 2006
  • This paper established the dynamic model of a flexible Timoshenko beam capable of geometrical nonlinearities subject to large overall motions by using the finite element method. Equations of motion are derived by using Hamilton principle and are formulated in terms of finite elements using CO elements in which the nonlinear constraint equations are adjoined to the system using Lagrange multipliers. In the final formulation are presented Coriolis and Gyroscopic forces as well as linear and nonlinear stiffnesses effects for the forthcoming numerical computation.