• Title/Summary/Keyword: spatial buckling

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Transverse buckling analysis of spatial diamond-shaped pylon cable-stayed bridge based on energy approach

  • Zheng, Xing;Huang, Qiao;Zheng, Qing-gang;Li, Zhen
    • Structural Engineering and Mechanics
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    • v.83 no.1
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    • pp.123-134
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    • 2022
  • The stability of cable-stayed bridges is an important factor considered during design. In recent years, the novel spatial diamond-shaped bridge pylon has shown its advantages in various aspects, including the static response and the stability performance with the development of cable-stayed bridge towards long-span and heavy-load. Based on the energy approach, this paper presents a practical calculation method of the completed state stability of a cable-stayed bridge with two spatial diamond-shaped pylons. In the analysis, the possible transverse buckling of the girder, the top pylon column, and the mid pylon columns are considered simultaneously. The total potential energy of the spatial diamond-shaped pylon cable-stayed bridge is calculated. And based on the principle of stationary potential energy, the transverse buckling coefficients and corresponding buckling modes are obtained. Furthermore, an example is calculated using the design parameters of the Changtai Yangtze River Bridge, a 1176 m cable-stayed bridge under construction in China, to verify the effectiveness and accuracy of the proposed method in practical engineering. The critical loads and the buckling modes derived by the proposed method are in good agreement with the results of the finite element method. Finally, cable-stayed bridges varying pylon and girder stiffness ratios and pylon geometric dimensions are calculated to discuss the applicability and advantages of the proposed method. And a further discussion on the degrees of the polynomial functions when assuming buckling modes are presented.

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

  • Shon, Su-Deok;Lee, Seung-Jae;Lee, Dong-Woo;Kim, Seung-Deog
    • Journal of Korean Association for Spatial Structures
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    • v.14 no.3
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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.

Reinforcement Effects of Buckling Member for Single-layer Latticed Dome (단층래티스 돔의 좌굴부재 보강효과에 관한 연구)

  • Jung, Hwan-Mok;Yoon, Seok-Ho;Lee, Dong-Woo
    • Journal of Korean Association for Spatial Structures
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    • v.16 no.4
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    • pp.45-52
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    • 2016
  • The single layer latticed domes have attracted many designers and researchers's attention all of the world, because these structures as spatial structure are of great advantage in not only mechanical rationality but also function, fabrication, construction and economic aspect. But single layer latticed domes are apt to occur the unstable phenomena that are called "buckling" because of the lack of strength of members, instability of structural shape, etc. In the case of latticed dome, there are several types of buckling mode such as overall buckling, local buckling, and member buckling according to the shape of dome, section type of member, the size of member, junction's condition of member and so on. There are many methods to increase the buckling strength of the single layer latticed dome, that is, with the change of geometrical shape of dome, the reinforcement of buckled member, etc. Therefore, the purpose of this study is to verify the reinforcement effect of buckled member when designers reinforce the buckled member to increase the buckling strength of single layer latticed dome with 3-way grid.

Critical Load and Effective Buckling Length Factor of Dome-typed Space Frame Accordance with Variation of Member Rigidity (돔형 스페이스 프레임의 부재강성변화에 따른 임계좌굴하중과 유효좌굴길이계수)

  • Shon, Su-Deok;Lee, Seung-Jae
    • Journal of Korean Association for Spatial Structures
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    • v.13 no.1
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    • pp.87-96
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    • 2013
  • This study investigated characteristics of buckling load and effective buckling length by member rigidity of dome-typed space frame which was sensitive to initial conditions. A critical point and a buckling load were computed by analyzing the eigenvalues and determinants of the tangential stiffness matrix. The hexagonal pyramid model and star dome were selected for the case study in order to examine the nodal buckling and member buckling in accordance with member rigidity. From the numerical results, an effective buckling length factor of adopted models was bigger than that of Euler buckling for the case of fixed boundary. These numerical models indicated that the influence of nodal buckling was greater than that of member buckling as member rigidity was higher. Besides, there was a tendency that the bifurcation appeared on the equilibrium path before limit point in the member buckling model.

A Study on the Buckling Characteristics of Double-Layer Latticed Domes whose Boundary Configuration are Elliptical (경계부 형상이 타원형인 복층 래티스 돔의 좌굴 특성에 관한 연구)

  • Seo, Young-Ill;Kwun, Ik-No;Kwun, Taek-Jin
    • Journal of Korean Association for Spatial Structures
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    • v.2 no.3 s.5
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    • pp.71-79
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    • 2002
  • The purpose of this paper is to study the buckling characteristics of elliptical latticed domes under conservative loading conditions. The latticed domes are usually designed in geometrically spherical shape. For this type of latticed domes, many researchers have researched and even the simplified estimation codes for the buckling load level have been available. However, geometrically elliptical latticed domes have been often constructed, and show different buckling characteristics following with geometrical parameters as rise-to-span ratio and so on. Therefore, it is necessary to investigate the general tendency of buckling characteristics of the elliptical latticed domes. In this paper, to find out some buckling characteristics of elliptical latticed domes, height, boundary configuration and gap are used as the shape coefficients. For each model with different parameters, the eigen values and the buckling loads are evaluated.

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A Study on Buckling Characteristics of Arch-type Vinyl House Structures according to Analytical Precision (아치형 비닐하우스 구조의 해석정밀도에 따른 좌굴특성 연구)

  • Yoon, Seok-Ho
    • Journal of Korean Association for Spatial Structures
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    • v.15 no.4
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    • pp.57-64
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    • 2015
  • The construction of vinyl greenhouses are increasing because of economic feasibility, construction period, and construction regulations. However, the vinyl greenhouses are apt to collapse by snow load since they have a small member as a temporary structure. The 3 types of buckling such as global, member and nodal buckling could be occurred to arched structures according to characteristics of cross section. To examine the member buckling, the precision of analysis need to be enhanced. In that case, we can examine the characteristics of the those buckling. The purposes of this study are to verify buckling characteristics of structures using the method of high precision analysis with a center node of member. The results of high precision analysis bring member buckling, and in the analysis method having the center node of member, the value of strength is getting lower than a previous study.

Parametric Study on Buckling Behavior of Sinusoidal Corrugated Web Girder (파형 강판 웨브를 갖는 보의 매개변수 해석 연구)

  • Park, Geun-Woo;Lee, Seo-Haeng;Yoo, Jung-Han
    • Journal of Korean Association for Spatial Structures
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    • v.18 no.1
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    • pp.101-108
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    • 2018
  • The purpose of this study was to analyze some parameters' effects on buckling behavior of Sinusoidal Corrugated Web using finite element analysis program. Studying buckling behavior is one of the most important things to design sinusoidal corrugated web girders and predict the shear performance. In this paper, Four parameters of Sinusoidal Corrugated Web, which are thickness($t_w$), height($h_w$), wave height(${\alpha}_3$) and wave length(w), were selected for buckling behavior analysis. Via buckling analysis, it is shown that $t_w$, $h_w$ and ${\alpha}_3$ have influence on shear buckling stress, Initial stiffness and reduced strength after buckling.

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

  • Ha, Hyeonju;Shon, Sudeok;Lee, Seungjae
    • Journal of Korean Association for Spatial Structures
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    • v.22 no.3
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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.

A Buckling Characteristics of Single-Layer Lattice Domes according to Section Shapes of Main Frames (The Existing Domestically-Produced Structural Steel is used as Main Frames) (단층래티스 돔의 주부재 단면형상에 따른 좌굴특성 검토 (KS규격 기성 강재 사용을 기준으로 함))

  • Jung, Hwan-Mok
    • Journal of Korean Association for Spatial Structures
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    • v.13 no.4
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    • pp.75-81
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    • 2013
  • The circular hollow section is usually used for member of main frame to carry the external load in single layer lattice dome. But, the H-shaped section may be used for member of main frame since it is convenient for attaching roof panels. Single layer lattice domes have various buckling characteristics, such as the overall buckling, the member buckling, and nodal buckling. The purpose of this study is to compare buckling characteristics of single-layer lattice domes in which the H-shaped steel section as the existing domestically-produced structural steel is used as main frames to those of domes in which a circular hollow section is used as main frames.

A Study on the Post-Buckling analysis of spatial structures by using dynamic relaxation method (동적이완법을 이용한 공간구조의 후좌굴 해석에 관한 연구)

  • Lee, Kyong-Soo;Lee, Sang-Ju;Lee, Hyong-Hoon;Han, Sang-Eul
    • Proceeding of KASS Symposium
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    • 2005.05a
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    • pp.154-160
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    • 2005
  • The present study is concerned with the application of dynamic relaxation method in the investigation of the large deflection behavior of spatial structures. The dynamic relaxation do not require the computation or formulation of any tangent stiffness matrix. The convergence to the solution is achieved by using only vectorial quantities and no stiffness matrix is required in its overall assembled form. In an effort to evaluate the merits of the methods, extensive numerical studies were carried out on a number of selected structural systems. The advantages of using dynamic relaxation methods, in tracing the post-buckling behavior of spatial structures, are demonstrated.

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