Dynamic Stability Analysis of Single-Layer Lattice Dome Considering Member Imperfections

2014 ◽  
Vol 1044-1045 ◽  
pp. 629-632 ◽  
Author(s):  
Shang Qi Wang ◽  
Jun Lin Wang ◽  
Shu Li Zhao ◽  
Jian Heng Sun

Dynamic stability analysis is a very important research project in the space structures. Up to now, in most researches, the imperfections of members are not included in the dynamic stability analysis for the single-layer lattice domes. In this paper, using multiple-beam method to simulate the initial bending deformation of the members, the dynamic stability behavior of a Kiewitt-8 single-layer lattice dome under three dimensional earthquake actions is analyzed by considering the member imperfections and the initial geometrical imperfections. The influence of member imperfections to the dynamic stability behavior of the structure is investigated.

2012 ◽  
Vol 27 (4) ◽  
pp. 203-218 ◽  
Author(s):  
M. Mohammadi ◽  
K. Abedi ◽  
N. Taghizadieh

2004 ◽  
Vol 10 (5) ◽  
pp. 731-754 ◽  
Author(s):  
Q. S. Li ◽  
J. M. Chen

A nonlinear finite element technique is developed for analyzing the nonlinear static and dynamic responses as well as the nonlinear stability of single-layer reticulated shells under external loads, in which the nonlinear three-dimensional beam elements are employed. Using the updated Lagrangian formulation, we derive a tangent stiffness matrix of three-dimensional beam element, considering the geometric nonlinearity of the element. Moreover, the modified Newton-Raphson method is employed for the solution of the nonlinear equilibrium equations, and the Newmark-β method is adopted for determining the seismic response of single-layer reticulated shells. An improved arc-length method, in which the current stiffness parameter is used to reflect the nonlinear degree of such space structures, is presented for determining the load increment for the structural stability analysis. In addition, an accurate incremental method is developed for computing the large rotations of the space structures. The developed approach is presented in matrix form, which is particularly convenient for developing a computer program. Numerical examples are presented to illustrate the application of the present method and to investigate the effects of the geometrical nonlinearity of the space structures.


2011 ◽  
Vol 94-96 ◽  
pp. 52-56
Author(s):  
Wen Feng Du ◽  
Fu Dong Yu ◽  
Zhi Yong Zhou

Aiming at the dynamic stability of the K8 single-layer latticed shell structures, it was carried out the dynamic stability analysis based on the finite element method(FEM) in this paper. The dynamic responses of the structure are calculated using the FEM and the B-R rule is applied to determine the dynamic instability critical loads. Results show that the dynamic instability is prone to take place in the K8 single-layer latticed shell structures under the severe seismic load and the dynamic instability critical seismic wave peak value is about 0.7g. The location of instability starts from the intersection between the third circular members and the radial members, then it spreads abroad until the structure collapses.


2013 ◽  
Vol 368-370 ◽  
pp. 1571-1577
Author(s):  
Jun Lin Wang ◽  
Hong Mei Li ◽  
Hua Guo ◽  
Xiao Qiang Ren ◽  
Jian Heng Sun

Critical wind velocity of dynamic failure is an important factor for the wind-resistance design of three-way single-layer cylindrical reticulated shells. This paper investigates the elastoplastic dynamic failure of reticulated shells under three dimensional wind loads, the ultimate capacity, buckling mode and plastic development distribution of reticulated shells under wind loads are investigated. The influence of initial geometrical imperfections, initial static loads, supporting types, rise-span ratio, long-width ratio on the failure performance of reticulated shells are presented. The comparison of the ultimate bearing capacity shows that the critical wind velocities under dynamic wind loads are much lower than that under static wind loads for reticulated shells.


Author(s):  
X. Lin ◽  
X. K. Wang ◽  
V. P. Dravid ◽  
J. B. Ketterson ◽  
R. P. H. Chang

For small curvatures of a graphitic sheet, carbon atoms can maintain their preferred sp2 bonding while allowing the sheet to have various three-dimensional geometries, which may have exotic structural and electronic properties. In addition the fivefold rings will lead to a positive Gaussian curvature in the hexagonal network, and the sevenfold rings cause a negative one. By combining these sevenfold and fivefold rings with sixfold rings, it is possible to construct complicated carbon sp2 networks. Because it is much easier to introduce pentagons and heptagons into the single-layer hexagonal network than into the multilayer network, the complicated morphologies would be more common in the single-layer graphite structures. In this contribution, we report the observation and characterization of a new material of monolayer graphitic structure by electron diffraction, HREM, EELS.The synthesis process used in this study is reported early. We utilized a composite anode of graphite and copper for arc evaporation in helium.


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