A study on buckling property of high-rise single layer latticed dome under self weight and seismic force(Part 2) : Earthquake response analysis of a unit triangle
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Dome (geology)
Response analysis
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The present study investigates the dynamic response of single layer latticed domes subjected to self-weight and horizontal seismic forces. A model for analysis is a hemispherical latticed dome of 60 m-span. Firstly, linear dynamic response analysis was performed to calculate the story shear coefficient C_i of the dome. And, we showed C_i distribution could be estimated from normalized response spectra. Secondly, static buckling analysis was applied to investigate buckling property of a unit truss which would represent the foundamental behaviour of the dome subjected to horizontally repeated forces. Thirdly, the elasto-plastic buckling load of the dome under self-weight and static horizontal seismic force was examined by elasto-plastic buckling analysis. In this analysis, C_i value was utilized for the equivalent static horizontal force. These results revealed that the static buckling load might be approximated in a reasonable preciseness by combined use of generalized slenderness ratio and a linear buckling analysis. Lastly, the static buckling load was compared with its dynamic buckling load, considering both geometry and material nonlinearities.
Dome (geology)
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Based on the theory of Pseudo Excitation Method,the non-stationary stochastic seismic response of the central-single-layer and peripheral-double-layer reticulated dome structures under the consistent earthquake input are analyzed by using the updated random C lough-Penzien Model and Finite Element Program ANSYS 8.0.The analysis results indicate that the internal force distribution of the single-double layer reticulated dome structures under the earthquake action is reasonable,and the horizontal(X) and vertical(Z) dynamic displacements of the structure are both lager.The coupling effect should be taken into account in the engineering design.The plane stiffness of the singledouble reticulated dome structures will increase and the stiffness outside of the plane will decrease with the increase of the depth.And the influence on the stiffness outside of the plane is very little when the span ratio of the single part to the double part increases,while the plane stiffness of the structure will change obviously.The stiffness catastrophe in the connection region of the single-double reticulated dome will influence the seismic response of the structure.The joints and members near this region will be influenced obviously,but the influence will decrease with the increase of the span ratio of the single part to the double part.
Dome (geology)
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This study deals with spatial truss structures composed of a double layer spatial truss dome and two truss plate-type wall substructures subjected to horizontal earthquake motion. Comparative investigations of the structures are also carried out by considering the structural eccentricity varying the wall height. The equivalent static seismic force, which is hereinafter referred to as the static seismic force, is calculated by the response spectrum method, and the seismic force distribution and response deformation applied on the structure are analyzed and investigated. The elastic seismic response analysis using static seismic force and the influence of eccentricity on seismic response characteristics is carried out. In addition, a method to calculate the static seismic force of medium and medium-sized large-span double-layer truss dome is also proposed by considering the shape, height, span and support conditions of the structure. The purpose of this study is to investigate the effect of the substructure on the seismic static force because the roof truss structure with curved surface has higher stiffness. In addition, the seismic response characteristics of long-span structures are different from those of multi-story structures, which have the structural characteristics of its vertical response as well as horizontal response to horizontal earthquake motion. Based on the elastic seismic response analysis and the static analysis of the static seismic force calculated by the response spectrum method, the seismic force distribution and deformation characteristics of the analysis model with or without eccentricity are analyzed and discussed. It is seen that the static equivalent modeling with the maximum effective mass ratio can be used to obtain the seismic force distribution in this kind of long-span structure.
Response spectrum
Earthquake simulation
Eccentricity (behavior)
Substructure
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It is still inadequate for investigating the highly nonlinear and complex mechanical behaviors of single-layer latticed domes by only performing a force-based demand-capacity analysis. The energy-based balance method has been largely accepted for assessing the seismic performance of a structure in recent years. The various factors, such as span-to-rise ratio, joint rigidity and damping model, have a remarkable effect on the load-carrying capacity of a single-layer latticed dome. Therefore, it is necessary to determine the maximum load-carrying capacity of a dome under extreme loading conditions. In this paper, a mechanical model for members of the semi-rigidly jointed single-layer latticed domes, which combines fiber section model with semi-rigid connections, is proposed. The static load-carrying capacity and seismic performance on the single-layer latticed domes are evaluated by means of the mechanical model. In these analyses, different geometric parameters, joint rigidities and roof loads are discussed. The buckling behaviors of members and damage distribution of the structure are presented in detail. The sensitivity of dynamic demand parameters of the structures subjected to strong earthquakes to the damping is analyzed. The results are helpful to have a better understanding of the seismic performance of the single-layer latticed domes.
Rigidity (electromagnetism)
Structural load
Carrying Capacity
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The study of seismic damage control was carried out for large-span spacal truss structures by placing allsteel buckling restraining braces(ASBRB) at different locations on the roof.Time history analyses were performed with three-dimensional earthquake ground motion inputs for a gymnasium building.Taking the displacement in the horizontal direction and member forces in the roof structure as the targets of the vibration control,the analytical results indicated that the seismic responses were effectively controlled via installing the ASBRB in the spacial truss structure.Uniform placement of ASBRB showed better performance when compared with that of centralized placement.The efficiency of vibration reduction was greatly influenced by yield load and yield point of ASBRB.The ASBRB remained in elastic condition during frequent earthquake,and provided the additional stiffness to reduce the structural seismic responses.Under the rare earthquake ground excitation,the most of ASBRB entered plastic phase and began to dissipate the earthquake energy.The energy dissipation hysteresis curves of ASBRB were full under different seismic input,and displayed the classic characteristic of displacement-dependent dampers.
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The present study is concerned with the earthquake resistant capacity of the double layer latticed dome due to vertical motions by elastic-plastic dynamic analysis, considering both of geometric and material non-linearities. The earthquake resistant capacity is evaluated by the max-imum acceleration of the input wave which induces dynamic collapse of the dome. As the results of this study, (i) the configuration of dynamic collapse is observed that the central part of the dome deforms downward larger than the peripheral part by occurence of chain buckling of the several members, and (ii) an approximate method for estimating the collapse acceleration of the latticed dome has been proposed and the validity has been shown.
Dome (geology)
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The basic natural vibration property of single layer membranous latticed shell was analyzed by using sub-space iteration method.The formula for earthquake response of long span spatial structure considering geometrical non-linear factor was deduced,and the corresponding computer program was developed.The seismic performance of membranous latticed shell was researched by using both response spectrum theory and response time history method.The research shows that: the seismic performance of membranous latticed shell is good;the reasonable number of vibration modes is 15,when analyzing the seismic performance of this structure under vertical earthquake ground motion by using response spectrum theory,but that is 60 under horizontal earthquake ground motion;the calculating results of the seismic performance of this structure under vertical earthquake ground motion by using response spectrum theory is on the safe side,but when analyzing the seismic performance of the structure under horizontal earthquake ground motion,the results should be checked by response time history method.
Response spectrum
Earthquake simulation
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In this paper, the analysis on dynamic failure behaviors of steel double-layer landing spherical latticed shell used in a gymnasium with the function of earthquake victim shelter is carried out under EL-centro wave with SAP2000, and the appraisal results on their anti-failure performances are presented under strong earthquake action based on the plastic-hinge theory. In the analyses, the geometric and material nonlinear effects are considered simultaneously. The plastic development level of the rod, the deformed shape and the failure type and the ductility are estimated. The results show that the failure model of the structure under the earthquake wave action is the complicated combination of strength failure and elasto-plastic dynamic local buckling in deferent areas of the structure; When the structure reached its failure critical limit, the development of the plastic hinges is sufficient and 38.4% of the rods enter into their plastic stage; The ratio of its maximal failure node vertical displacement and its plane diameter is 1/139; Its critical failure peak acceleration of EL earthquake wave when applied in the combination of three directions is 2090gal, which is 5 times more than the official seismic fortification level of 8 degree (major earthquake, 0.2g) and can be served as earthquake victims shelter in the area of 8 degree seismic fortification; Its displacement ductility coefficient is 8.64,which shows the structure owns good energy dissipation capacity.
Ductility (Earth science)
Plastic hinge
Envelope (radar)
Earthquake simulation
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