• 제목/요약/키워드: Critical load level

검색결과 112건 처리시간 0.018초

주기 하중을 받는 3-자유절점 공간 트러스의 동적 불안정 현상과 주파수 특성 (Dynamic Snapping and Frequency Characteristics of 3-Free-Nodes Spatial Truss Under the Periodic Loads)

  • 손수덕;황경주
    • 한국공간구조학회논문집
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    • 제20권4호
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    • pp.149-158
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    • 2020
  • The governing equation for a dome-type shallow spatial truss subjected to a transverse load is expressed in the form of the Duffing equation, and it can be derived by considering geometrical non-linearity. When this model under constant load exceeds the critical level, unstable behavior is appeared. This phenomenon changes sensitively as the number of free-nodes increases or depends on the imperfection of the system. When the load is a periodic function, more complex behavior and low critical levels can be expected. Thus, the dynamic unstable behavior and the change in the critical point of the 3-free-nodes space truss system were analyzed in this work. The 4-th order Runge-Kutta method was used in the system analysis, while the change in the frequency domain was analyzed through FFT. The sinusoidal wave and the beating wave were utilized as the periodic load function. This unstable situation was observed by the case when all nodes had same load vector as well as by the case that the load vector had slight difference. The results showed the critical buckling level of the periodic load was lower than that of the constant load. The value is greatly influenced by the period of the load, while a lower critical point was observed when it was closer to the natural frequency in the case of a linear system. The beating wave, which is attributed to the interference of the two frequencies, exhibits slightly more behavior than the sinusoidal wave. And the changing of critical level could be observed even with slight changes in the load vector.

스텝 하중을 받는 3-자유절점 공간 트러스 모델의 동적 좌굴 특성 (Dynamic Buckling Characteristics of 3-Free-Nodes Spatial Truss Model Under the Step Load)

  • 손수덕;황경주
    • 한국공간구조학회논문집
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    • 제20권2호
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    • pp.59-68
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    • 2020
  • In this paper, the dynamic snapping of the 3-free-nodes spatial truss model was studied. A governing equation was derived considering geometric nonlinearity, and a model with various conditions was analyzed using the fourth order Runge-Kutta method. The dynamic buckling phenomenon was observed in consideration of sensitive changes to the force mode and the initial condition. In addition, the critical load level was analyzed. According to the results of the study, the level of critical buckling load elevated when the shape parameter was high. Parallelly, the same result was caused by the damping term. The sensitive asymmetrical changes showed complex orbits in the phase space, and the critical load level was also becoming lowly. In addition, as the value of damping constant was high, the level of critical load also increases. In particular, the larger the damping constant, the faster it converges to the equilibrium point, and the occurrence of snapping was suppressed.

A simplified approach for fire-resistance design of steel-concrete composite beams

  • Li, Guo-Qiang;Wang, Wei-Yong
    • Steel and Composite Structures
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    • 제14권3호
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    • pp.295-312
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    • 2013
  • In this paper, a simplified approach based on critical temperature for fire resistance design of steel-concrete composite beams is proposed. The method for determining the critical temperature and fire protection of the composite beams is developed on the basis of load-bearing limit state method employed in current Chinese Technical Code for Fire safety of Steel Structure in Buildings. Parameters affecting the critical temperature of the composite beams are analysed. The results show that at a definite load level, section shape of steel beams, material properties, effective width of concrete slab and concrete property model have little influence on the critical temperature of composite beams. However, the fire duration and depth of concrete slab have significant influence on the critical temperature. The critical temperatures for commonly used composite beams, at various depth of concrete and fire duration, are given to provide a reference for engineers. The validity of the practical approach for predicting the critical temperature of the composite beams is conducted by comparing the prediction of a composite beam with the results from some fire design codes and full scale fire resistance tests on the composite beam.

Power Flow Control at the Subnetwork-Level in Microgrids

  • Liu, Kun;Khan, Muhammad Mansoor;Rana, Ahmad;Fei, Dong
    • Journal of Power Electronics
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    • 제18권2호
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    • pp.588-603
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    • 2018
  • This paper presents the idea of a smart load that can adjust the input power flow based on the intermittent power available from RESs (Renewable Energy Resources) to regulate the line voltage, and draw a constant power from the grid. To this effect, an innovative power flow controller is presented based on a Resistive ES (Electric Spring) in combination with a PEAT (Power Electronics based Adjustable Transformer), which can effectively shape the load power flow at the subnetwork level. With a PEAT incorporated in the step down transformer at the grid side, the proposed controller can supply non-critical loads through local RESs, and the critical loads can draw a relatively constant power from the grid. If there is an abundance of power produced by the RESs, the controller can supply both non-critical loads and critical loads through the RES, which significantly reduces the power demand from the grid. The principle, practicality, stability analysis, and controller design are presented. In addition, simulation results show that the power flow controller performs well in shaping the load power flow at the subnetwork level, which decreases the power demand on the grid. Experimental results are also provided to show that the controller can be realized.

비대칭 초기 조건을 갖는 얕은 아치의 동적 불안정과 순시 주파수 변화 (Dynamic Instability and Instantaneous Frequency of a Shallow Arch With Asymmetric Initial Conditions)

  • 손수덕;하준홍
    • 한국공간구조학회논문집
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    • 제20권2호
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    • pp.77-85
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    • 2020
  • This paper examined the dynamic instability of a shallow arch according to the response characteristics when nearing critical loads. The frequency changing feathers of the time-domain increasing the loads are analyzed using Fast Fourier Transformation (FFT), while the response signal around the critical loads are analyzed using Hilbert-Huang Transformation (HHT). This study reveals that the models with an arch shape of h = 3 or higher exhibit buckling, which is very sensitive to the asymmetric initial conditions. Also, the critical buckling load increases as the shape increases, with its feather varying depending on the asymmetric initial conditions. Decomposition results show the decrease in predominant frequency before the threshold as the load increases, and the predominant period doubles at the critical level. In the vicinity of the critical level, sections rapidly manifest the displacement increase, with the changes in Instantaneous Frequency (IF) and Instant Energy (IE) becoming apparent.

한계전단변형률 개념을 이용한 터널의 지반이완하중 평가 (Evaluation of rock load based on critical shear strain concept on tunnels)

  • 김정주;이재국;김종욱;유한규
    • 한국터널지하공간학회 논문집
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    • 제15권6호
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    • pp.637-652
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    • 2013
  • 터널의 지반이완하중 산정방법에는 이론식, 경험식, 수치해석적인 방법 등이 있는데 이론식과 경험식은 실무에 적용하기에는 많은 한계점이 있다. 따라서, 본 연구에서는 그 중에서 수치해석적 방법이 지반이완하중 산정에 필요한 모든 매개변수를 고려할 수 있고, 지반과 지보재의 상호작용을 모사할 수 있기 때문에 보다 합리적인 방법이라 판단하였다. 수치해석 결과를 바탕으로 명확한 지반이완영역을 결정하기 위하여 Sakurai(1981)의 한계전단변형률 개념을 이용하였다. Stable region의 경계영역인 Level 1의 지반이 완하중고를 산정한 결과 지반등급 3까지는 지반이완하중이 산정되지 않았고, 지반등급 4, 5에서는 기존 산정방법들에 비해 지반이완하중고가 작게 산정되어 보다 경제적인 콘크리트라이닝 설계가 가능할 것으로 판단하였다.

프레임형 대공간 구조물의 절점강성변화에 따른 불안정 현상과 임계좌굴하중 (Unstable Behaviour and Critical Buckling Load of Framed Large Spatial Structures in accordance with the Variation of Joint Rigidity)

  • 손수덕;이승재;이동우;김승덕
    • 한국공간구조학회논문집
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    • 제14권3호
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    • pp.47-56
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    • 2014
  • This paper investigates the characteristics of unstable behaviour and critical buckling load by joint rigidity of framed large spatial structures which are sensitive to initial conditions. To distinguish the stable from the unstable, a singular point on equilibrium path and a critical buckling level are computed by the eigenvalues and determinants of the tangential stiffness matrix. For the case study, a two-free node example and a folded plate typed long span example with 325 nodes are adopted, and these adopted examples' nonlinear analysis and unstable characteristics are analyzed. The numerical results in the case of the two-free node example indicate that as the influence of snap-through is bigger; that of bifurcation buckling is lower than that of the joint rigidity as the influence of snap-through is lower. Besides, when the rigidity decreases, the critical buckling load ratio increases. These results are similar to those of the folded-typed long span example. When the buckling load ratio is 0.6 or less, the rigidity greatly increases.

접합부 강성과 비대칭 적설하중 적용을 통한 목조 래티스 지붕 구조물의 좌굴하중 특성 (Buckling Load of Lattice Timber Roof Structure considering Stiffness of Connection with Asymmetric Snow Load)

  • 황경주
    • 한국공간구조학회논문집
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    • 제23권1호
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    • pp.69-76
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    • 2023
  • A timber lattice roof, which has around 30m span, was constructed. In order to figure out the realistic buckling load level, the structural analysis of this roof structure was performed especially by stiffness of connection with various asymmetric snow load. Due to the characteristics of application of snow load, the load combinations of snow should be considered not only global area but also local part so that the critical buckling load could be observed as easy as possible. Geometrical imperfection was simulated to consider inaccurate shape of structure. And then nonlinear analysis were performed. Finally, this paper could investigate that the asymmetric snow load with the lower level stiffness of connection decreased the level of buckling load significantly.

목재를 이용한 육각형 공간 트러스 모델의 정적좌굴하중 특성 (Characteristics of Static Buckling Load of the Hexagonal Spatial Truss Models using Timber)

  • 하현주;손수덕;이승재
    • 한국공간구조학회논문집
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    • 제22권3호
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    • pp.25-32
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    • 2022
  • In this paper, the instability of the domed spatial truss structure using wood and the characteristics of the buckling critical load were studied. Hexagonal space truss was adopted as the model to be analyzed, and two boundary conditions were considered. In the first case, the deformation of the inclined member is only considered, and in the second case, the deformation of the horizontal member is also considered. The materials of the model adopted in this paper are steel and timbers, and the considered timbers are spruce, pine, and larch. Here, the inelastic properties of the material are not considered. The instability of the target structure was observed through non-linear incremental analysis, and the buckling critical load was calculated through the singularities and eigenvalues of the tangential stiffness matrix at each incremental step. From the analysis results, in the example of the boundary condition considering only the inclined member, the critical buckling load was lower when using timber than when using steel, and the critical buckling load was determined according to the modulus of elasticity of timber. In the case of boundary conditions considering the effect of the horizontal member, using a mixture of steel and timber case had a lower buckling critical load than the steel case. But, the result showed that it was more effective in structural stability than only timber was used.

Experimental research on seismic behavior of steel reinforced high-strength concrete short columns

  • Zhu, Weiqing;Jia, Jinqing;Zhang, Junguang
    • Steel and Composite Structures
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    • 제25권5호
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    • pp.603-615
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    • 2017
  • This experimental research presents the seismic performance of steel reinforced high-strength concrete (SRHC) short columns. Eleven SRHC column specimens were tested under simulated earthquake loading conditions, including six short column specimens and five normal column specimens. The parameters studied included the axial load level, stirrup details and shear span ratio. The failure modes, critical region length, energy dissipation capacity and deformation capacity, stiffness and strength degradation and shear displacement of SRHC short columns were analyzed in detail. The effects of the parameters on seismic performance were discussed. The test results showed that SRHC short columns exhibited shear-flexure failure characteristics. The critical region length of SRHC short columns could be taken as the whole column height, regardless of axial load level. In comparison to SRHC normal columns, SRHC short columns had weaker energy dissipation capacity and deformation capacity, and experienced faster stiffness degradation and strength degradation. The decrease in energy dissipation and deformation capacity due to the decreasing shear span ratio was more serious when the axial load level was higher. However, SRHC short columns confined by multiple stirrups might possess good seismic behavior with enough deformation capacity (ultimate drift ratio ${\geq}2.5%$), even though a relative large axial load ratio (= 0.38) and relative small structural steel ratio (= 3.58%) were used, and were suitable to be used in tall buildings in earthquake regions.