• Title/Summary/Keyword: Elastic beam structure

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Minimum dynamic response of cantilever beams supported by optimal elastic springs

  • Aydin, Ersin
    • Structural Engineering and Mechanics
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    • v.51 no.3
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    • pp.377-402
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    • 2014
  • In this study, optimal distribution of springs which supports a cantilever beam is investigated to minimize two objective functions defined. The optimal size and location of the springs are ascertained to minimize the tip deflection of the cantilever beam. Afterwards, the optimization problem of springs is set up to minimize the tip absolute acceleration of the beam. The Fourier Transform is applied on the equation of motion and the response of the structure is defined in terms of transfer functions. By using any structural mode, the proposed method is applied to find optimal stiffness and location of springs which supports a cantilever beam. The stiffness coefficients of springs are chosen as the design variables. There is an active constraint on the sum of the stiffness coefficients and there are passive constraints on the upper and lower bounds of the stiffness coefficients. Optimality criteria are derived by using the Lagrange Multipliers. Gradient information required for solution of the optimization problem is analytically derived. Optimal designs obtained are compared with the uniform design in terms of frequency responses and time response. Numerical results show that the proposed method is considerably effective to determine optimal stiffness coefficients and locations of the springs.

Damage characterization of beam-column joints reinforced with GFRP under reversed cyclic loading

  • Said, A.M.
    • Smart Structures and Systems
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    • v.5 no.4
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    • pp.443-455
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    • 2009
  • The use of fiber reinforced polymer (FRP) reinforcement in concrete structures has been on the rise due to its advantages over conventional steel reinforcement such as corrosion. Reinforcing steel corrosion has been the primary cause of deterioration of reinforced concrete (RC) structures, resulting in tremendous annual repair costs. One application of FRP reinforcement to be further explored is its use in RC frames. Nonetheless, due to FRP's inherently elastic behavior, FRP-reinforced (FRP-RC) members exhibit low ductility and energy dissipation as well as different damage mechanisms. Furthermore, current design standards for FRP-RC structures do not address seismic design in which the beam-column joint is a key issue. During an earthquake, the safety of beam-column joints is essential to the whole structure integrity. Thus, research is needed to gain better understanding of the behavior of FRP-RC structures and their damage mechanisms under seismic loading. In this study, two full-scale beam-column joint specimens reinforced with steel and GFRP configurations were tested under quasi-static loading. The control steel-reinforced specimen was detailed according to current design code provisions. The GFRP-RC specimen was detailed in a similar scheme. The damage in the two specimens is characterized to compare their performance under simulated seismic loading.

Experimental Study on Pre-Stresses Steel Beam (Pre-stress를 도입한 Steel Beam에 관한 실험적 연구)

  • 조진구;박병기
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.17 no.4
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    • pp.3921-3930
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    • 1975
  • This research was carried out to investigate several mechanical characteristics of pre-stressed steel beams. The configuration of specimens used for this study were as follows; a cover plate having permissible fiber stress of 4,000 kg/$\textrm{cm}^2$ was welded at bottom having the allowable bending stress 2500 kg/$\textrm{cm}^2$ steel beam, the section ratios of pre-stressed steel beam and cover plate were 0.5 and 0.6. Adopted pre-stresses were 0%, 50%, and 100% of an allowable fiber stress of a steel beam. The results obtained from the study may be summarized as follows; 1. The elastic range of a beam was increased by the application of pre-stress to the beam, which leads to a lighter section. 2. The permissible moment capacity of a pre-stressed steel beam was greated than that of a steel beam without pre-stressing. 3. The equivalent allowable stress induced by adopting the different section ratio of pre-stressed beam to cover plate were figured out 4. The optimum value of section ratio of beam and cover plate was 0.3 to 0.4 in case of a 1.5m span composite beam, a combination of an allowable stress 2,500kg/$\textrm{cm}^2$ steel beam and a permissible fiber stress 4,000 kg/$\textrm{cm}^2$ steel cover plate, was used. 5. The magnitude of the pre-stress was desirable to be same as the allowable stress of a steel beam. 6. It was concluded that if the construction techniques in the field are developed and improved, the practicing of pre-stress to the steel structure has a promising future.

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An analytical Study on the Elasto-Plastic Behaviour of Steel Structure Member & Frame under Cyclic Load (반복 하중을 받는 강 구조 부재 및 골조의 탄소성 성상에 관한 해석적 연구)

  • 김화중;권영환;박정민
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1992.10a
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    • pp.52-57
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    • 1992
  • The purpose of this study is that to develop computer program, which is about to analy size nonlinear behaviour of elastic framed structures include to geometric & material nonlineality, and to formulate between stress-strain relationship. In order to examplity the efficiency of this program, a few analytical results have been obtained on : (1) nonlinear behaviour of beam which is subject to vertical force (2) nonlinear behaviour of portal frame which is subject to vertical & horizontal force.

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Vibration Analysis of Elastic Beams Subjected to Moving Load (이동하는 동적하중을 받는 탄성보의 진동해석)

  • 윤일성;송오섭
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1997.10a
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    • pp.408-413
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    • 1997
  • The linear dynamic response of a simply supported uniform beam under a moving load of constant magnitude is investigated. When the ratio of the moving weight and the structure weight is small, moving object is considered as a concentrated or distributed moving force, that is large external loading can be considered as a concentrated or distributed moving masses. Result from the numerical solutions of the differential equations of motion are shown graphically. Moreover, when considering the maximum deflection for the mid-span of the hewn, the critical speeds of the moving load have been evaluated.

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An Experimental Study on the Measurement of Elastic and Damping Coefficients of a Composite Material (복합재의 탄성 및 감쇠계수 측정을 위한 실험연구)

  • Park, Han-Il;Shon, Jae-Geon;Min, Cheon-Hong;Bae, Soo-Ryong
    • Journal of the Society of Naval Architects of Korea
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    • v.44 no.1 s.151
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    • pp.26-31
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    • 2007
  • Understanding viscoelastic properties of composite materials is essential for the design and analysis of composite structures. Specially, the loss factor and Young's modulus must be known to develop finite element codes for a composite structure with several damping materials. In this study, an advanced technique for obtaining accurate loss factor and Young's modulus of a composite structure is introduced based on the method of American Society for Testing and Materials (ASTM). The loss factor and Young's modulus of a composite structure are measured for different temperatures by performing the test in a vibration measurement room where temperature can be controllable from 5 to 45 Celsius.

Finite element analysis for the seismic performance of steel frame-tube structures with replaceable shear links

  • Lian, Ming;Zhang, Hao;Cheng, Qianqian;Su, Mingzhou
    • Steel and Composite Structures
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    • v.30 no.4
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    • pp.365-382
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    • 2019
  • In steel frame-tube structures (SFTSs) the application of flexural beam is not suitable for the beam with span-to-depth ratio lower than five because the plastic hinges at beam-ends can not be developed properly. This can lead to lower ductility and energy dissipation capacity of the SFTS. To address this problem, a replaceable shear link, acting as a ductile fuse at the mid length of deep beams, is proposed. SFTS with replaceable shear links (SFTS-RSLs) dissipate seismic energy through shear deformation of the link. In order to evaluate this proposal, buildings were designed to compare the seismic performance of SFTS-RSLs and SFTSs. Several sub-structures were selected from the design buildings and finite element models (FEMs) were established to study their hysteretic behavior. Static pushover and dynamic analyses were undertaken in comparing seismic performance of the FEMs for each building. The results indicated that the SFTS-RSL and SFTS had similar initial lateral stiffness. Compared with SFTS, SFTS-RSL had lower yield strength and maximum strength, but higher ductility and energy dissipation capacity. During earthquakes, SFTS-RSL had lower interstory drift, maximum base shear force and story shear force compared with the SFTS. Placing a shear link at the beam mid-span did not increase shear lag effects for the structure. The SFTS-RSL concentrates plasticity on the shear link. Other structural components remain elastic during seismic loading. It is expected that the SFTS-RSL will be a reliable dual resistant system. It offers the benefit of being able to repair the structure by replacing damaged shear links after earthquakes.

Fabrication of Silicon Elastic Body of Electromagnetic Type Vibration Transducer by Using Micromachining Technique (반도체 마이크로 머시닝 기술을 이용한 전자기형 진동 트랜스듀서의 실리콘 탄성체 구현)

  • Lee, K.C.;Lee, S.K.;Park, S.K.;Kwon, K.J.;Cho, J.H.;Lee, S.H.
    • Proceedings of the KIEE Conference
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    • 1999.11d
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    • pp.1142-1144
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    • 1999
  • A 4-beam cross type silicon elastic body was fabricated for the electromagnetic type vibration micro transducer. To improve energy transfer efficiency, the structure and size of vibration transducer were optimized by the FEA simulation package. Experimental results of the fabricated transducer shows $0.5{\sim}8$ dyne of vibration force at the condition of $1{\sim}4$ mA of current source $100{\sim}7000$ Hz of frequency band width. These results presented the useful applications for micro actuators and sensors.

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Free Vibration Analysis of 'ㄱ' Type Wall Structure using Polynomials having the Property of a Simple and Fixed Support Euler Beam Functions (단순 및 고정 지지된 Euler 보함수 성질을 갖는 다항식을 이용한 'ㄱ'형태 벽면 구조의 고유진동해석)

  • Yoon, DuckYoung;Park, Jeonghee
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.24 no.12
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    • pp.948-953
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    • 2014
  • Many studies using the assumed mode method have been found for the free vibration analysis of stiffened plate with known elastic boundary conditions. However many local structures such as tank edges and equipment foundations consist of connected structures and it is very difficult to find suitable elastic boundary conditions. In this study combined polynomials which satisfy simply and fixedly supported boundary conditions are proposed. The proposed method has been applied to tanks which bounded by bulkhead and a deck. The results of this study shows good agreements with these obtain by the FEA S/W(Patran/Nastran).

Robust Motion Controller Design for Flexible XY Positioning Systems (유연한 XY 위치결정 시스템을 위한 강인 동작 제어기 설계)

  • 김봉근;박상덕;정완균;염영일
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.1
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    • pp.82-89
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    • 2003
  • A robust motion control method is proposed fur the point-to-point position control of a XY positioning system which consists of a base cart, elastic ben and moving mass. The horizontal motion controller consists of the feedforward controller to suppress the single mode vibration of the elastic beam and the feedback controller to get the high-accuracy positioning performance of the base cart. Input preshaping vibration suppression method based on system modeling with analytic frequency equation is proposed and integrated into the robust internal-loop compensator(RIC) to increase the robustness of the whole closed-loop system The vertical motion controller is proposed based on the dual RIC structure. Through experiments, it is shown that the proposed method can stabilize the system and suppress the vibration in the presence of uncertainties and disturbances.