• 제목/요약/키워드: deflections

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Free Vibration of Beams with Initial Deflections due to Dead Loads (사하중에 의한 초기처짐을 갖는 보의 자유진동)

  • 이병구;박광규;오상진;모정만
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1994.04a
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    • pp.154-157
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    • 1994
  • 보는 토목, 건축, 기계, 선박, 항공 등 구조공학 분야에서 가장 기본이 되는 구조단위이므로 그에 대한 동적해석 특히 자유진동에 관한 많은 연구들이 발표되고 있다. 이제까지 이러한 연구들은 사항중으로 인한 정적 초기처짐의 영향을 고려하지 않은 논문들이다. 최근 재료과학의 발달로 고강도의 재료가 출현하고 따라서 세장비가 매우 큰 구조물의 시공이 가능하게 되어 정적 처짐이 다소 큰 구조물에서도 정적 안전성을 확보할 수 있게 되었다. 그러나 이러한 경우에 정적 초기처짐은 구조물의 동적거동에 영향을 줄 것으로 생각된다. 본 연구는 문헌[7]에서 유도된 편미분방정식을 이용하여 사하중에 의한 정적 초기처짐을 갖는 보의 자유진동을 지배하는 상미분방정식을 유도하고 이를 수치해석하여 고유진동수와 진동형을 산출하는데 연구목적이 있다.

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A Study of Scaling Law for the Response of V-shape Structure Protecting Landmine (지뢰폭압 방호용 V형 구조물의 거동에 대한 상사법칙 연구)

  • Kim, Dong Kyu
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.25 no.5
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    • pp.337-344
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    • 2015
  • As many of armored vehicles are seriously exposed to threat of IEDs(Improvised Explosive Devices) in the Afghanistan war and the Iraq war. V-shaped military vehicles are deeply studied in order to protect crews and mounted soldiers against land mines. Generally the experiment on full-scaled V-shaped structure needs excessively high cost, which becomes a huge barrier to study. In this paper, we explore the possibility to make a half-scaled model of the V-shaped structure by using the geometric similarity scaling. We demonstrate the geometric similarity scaling between the original model and the half-scaled model is established on the momentum and deflections of structure via computer simulations and experiments. At this stage, we conduct only numerical analysis of predicting vibration of V-shaped structure because measuring vibration of structure is difficult in the mass-explosion experiment, which is remained as future work.

Stiffness modeling of RC columns reinforced with plain rebars

  • Ozcan, Okan
    • Structural Engineering and Mechanics
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    • v.50 no.2
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    • pp.163-180
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    • 2014
  • Inaccurate predictions of effective stiffness for reinforced concrete (RC) columns having plain (undeformed) longitudinal rebars may lead to unsafe performance assessment and strengthening of existing deficient frames. Currently utilized effective stiffness models cover RC columns reinforced with deformed longitudinal rebars. A database of 47 RC columns (33 columns had continuous rebars and the remaining had spliced reinforcement) that were longitudinally reinforced with plain rebars was compiled from literature. The existing effective stiffness equations were found to overestimate the effective stiffness of columns with plain rebars for all levels of axial loads. A new approach that considers the contributions of flexure, shear and bond slip to column deflections prior to yielding was proposed. The new effective stiffness formulations were simplified without loss of generality for columns with and without lap-spliced plain rebars. In addition, the existing stiffness models for the columns with deformed rebars were improved while taking poor bond characteristics of plain rebars into account.

Static analysis of laminated and sandwich composite doubly-curved shallow shells

  • Alankaya, Veysel;Oktem, Ahmet Sinan
    • Steel and Composite Structures
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    • v.20 no.5
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    • pp.1043-1066
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    • 2016
  • A new analytical solution based on a third order shear deformation theory for the problem of static analysis of cross-ply doubly-curved shells is presented. The boundary-discontinuous generalized double Fourier series method is used to solve highly coupled linear partial differential equations with the mixed type simply supported boundary conditions prescribed on the edges. The complementary boundary constraints are introduced through boundary discontinuities generated by the selected boundary conditions for the derivation of the complementary solution. The numerical accuracy of the solution is compared by studying the comparisons of deflections, stresses and moments of symmetric and anti-symmetric laminated shells with finite element results using commercially available software under uniformly distributed load. Results are in good agreement with finite element counterparts. Additional results of the symmetric and anti-symmetric laminated and sandwich shells under single point load at the center and pressure load, are presented to provide data for the unsolved boundary conditions, benchmark comparisons and verifications.

Progressive collapse analysis of steel frame structure based on the energy principle

  • Chen, Chang Hong;Zhu, Yan Fei;Yao, Yao;Huang, Ying
    • Steel and Composite Structures
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    • v.21 no.3
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    • pp.553-571
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    • 2016
  • The progressive collapse potential of steel moment framed structures due to abrupt removal of a column is investigated based on the energy principle. Based on the changes of component's internal energy, this paper analyzes structural member's sensitivity to abrupt removal of a column to determine a sub-structure resisting progressive collapse. An energy-based structural damage index is defined to judge whether progressive collapse occurs in a structure. Then, a simplified beam damage model is proposed to analyze the energies absorbed and dissipated by structural beams at large deflections, and a simplified modified plastic hinges model is developed to consider catenary action in beams. In addition, the correlation between bending moment and axial force in a beam during the whole deformation development process is analyzed and modified, which shows good agreement with the experimental results.

Experimental study on flexural strength of modular composite profile beams

  • Ahn, Hyung-Joon;Ryu, Soo-Hyun
    • Steel and Composite Structures
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    • v.7 no.1
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    • pp.71-85
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    • 2007
  • This study suggests modular composite profile beams, where the prefab concept is applied to existing composite profile beams. The prefab concept produces a beam of desired size having two types of profile: side module and bottom module. Module section will improve construction efforts because it offers several benefits : reduction of deflections due to creep and shrinkage, which might be found in existing composite profile beams; increase in span/depth ratio; and free prefabrication of any required beams. Based on the established analysis theory of composite profile beams, an analysis theory of modular composite profile beams was suggested, and analysis values were compared with experimental ones. The behavior of individual modules with increase of load was measured with a strain gauge, and the shear connection ratio between modules was analyzed by using the measured values. As a result of experiment, it was found that theoretical flexural strength on condition of full connection was 57%-80% by connection of modules for each specimen, and it is expected that flexural strength will approximate the theoretical levels through further module improvement.

An analytical solution for bending and vibration responses of functionally graded beams with porosities

  • Zouatnia, Nafissa;Hadji, Lazreg;Kassoul, Amar
    • Wind and Structures
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    • v.25 no.4
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    • pp.329-342
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    • 2017
  • This work presents a static and free vibration analysis of functionally graded metal-ceramic (FG) beams with considering porosities that may possibly occur inside the functionally graded materials (FGMs) during their fabrication. A new displacement field containing integrals is proposed which involves only three variables. Based on the suggested theory, the equations of motion are derived from Hamilton's principle. This theory involves only three unknown functions and accounts for parabolic distribution of transverse shear stress. In addition, the transverse shear stresses are vanished at the top and bottom surfaces of the beam. The Navier solution technique is adopted to derive analytical solutions for simply supported beams. The accuracy and effectiveness of proposed model are verified by comparison with previous research. A detailed numerical study is carried out to examine the influence of the deflections, stresses and natural frequencies on the bending and free vibration responses of functionally graded beams.

Influence of Attached Mass/Masses on Natural Frequency of Vibration of Laminated Composite Plate for Bridge Deck (교량상판형(橋梁上板形) 적층복합판(積層復合板)의 진동수(振動數)에 대한 첨가질량(添加質量)의 영향(影響))

  • Sim, Do-Sik;Lee, Se-Jin;Kim, Kyung-Jin;Park, Je-Sun
    • Journal of Industrial Technology
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    • v.16
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    • pp.123-129
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    • 1996
  • A method of calculating the natural frequency corresponding to the first mode of vibration of beams and tower structures with irregular cross-sections and with arbitrary boundary conditions was developed and reported by D. H. Kim in 1974. In order to obtain the natural frequency by the presented method, the first step to take is to obtain the deflection influence surfaces. In design and analysis of any structure, the first step to be taken is to obtain this deflection influence surfaces. Any method can be used for this purpose. Then using this surfaces, deflections, slopes, moments, shears, and natural frequencies can be obtained by differentiating either the continuous function or discrete function defined at certain points. The merit of the presented method is that the natural frequency can be obtained by the deflection influence surfaces obtaining which is the first step in structural analysis.

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Stress Analysis of Precast Concrete Large Panel Structures Taking Account of Stiffness of Vertical Joints (수직접합부 강성을 고려한 프리캐스트 콘크리트 대형판구조물의 응력해석)

  • 장극관;이한선;신영식;류진호
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1993.10a
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    • pp.149-156
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    • 1993
  • Precast concrete (P.C.) large panel structures have usually weaker stiffness at joints than that of monolithic in-situ reinforced concrete structures. But structural designers do not in general take into account this characteristics of P. C. large panel structures and use the same analytical models as for the monolithic structure. Therefore, the results of analysis obtained by using these models may be quite different from those actually occuring in real P.C. structure. In this study, the change in force and stress distribution and deflections of structure caused by applying lower shear stiffness at vertical joints are investigated through trying several finite element modeling schemes specific for P.C. structures. Finally, for engineers in practice. a simplified model, which takes account of the effect of lower shear stiffness at vertical joints, is proposed with the understanding on possible amount of errors.

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Application of FBG Sensors to the Monitoring of Railway Bridges (철도교량 모니터링을 위한 FBG 센서의 응용)

  • Chung Won-Seok;Kang Dong-Hoon;Choi Eun-Soo;Lee Jun-Sun
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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    • pp.10-14
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    • 2006
  • FBG sensors are able to measure the strain of structures more easily and durable than electronic resistance gages and thus many researches are on the way to apply the FBG sensor for response monitering of infrastructures. This study investigates the deflection estimation technique using FBG sensors. Several FBG sensors are multiplexed in single optical fiber and installed. in parallel pairs along the length of the structure. The measured strains at the top and bottom of a cross section can be transferred to the curvature of the section which can be used to calculate its displacement. It has been demonstrated that the estimated deflections using the FBG sensor are compared well with the readings from displacement transducers. The results show that the proposed instrumentation technique is capable of estimating the vertical deflection of the structures for various loading conditions including impact and dynamic loads, which is crucial in the structural health monitoring.

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