Simplified Analysis Of Double-layer Space Grids And Numerical Simulation On Wind-resistant Of Latticed Dome

Types of space structures are rich and colorful. Because of its good load-bearingproperties, the research of space structures is one of the most important and activeareas in building structures and is paid much attention. With more and moreapplication of space structures, it needs that the internal forces and displacements ofstructures and their distributions, frequency and vibration mode can be obtainedrapidly in the primary design. So that it is important to improve some simplifiedanalysis methods which have adequate accuracy. Single-layer latticed dome is a goodexample of generic space structures. For its nonlinear static characteristics, adequateachievements have been obtained, but the dynamic characteristics especially aseismicand wind-resistant performance need to be studied further. In some cases, wind loadingis more important than earthquake loading. So that wind-induced vibration ofsingle-layer latticed shell needs to be studied systematically.Based upon the introduction above, the works in this paper focused on the simplifiedanalysis method of space grids structures and the research on wind-resistantperformance of single-layer latticed dome. The main research contents are stated asfollow:1. Simplified analysis method of space grids structuresDouble-layer space grids have been assumed as sandwich plate, and are analyzed bythe nontraditional theory of plate with consideration of shear deformation and threegeneralized displacements. Using the theory of energy variation, simplified methodsfor bending, stability and vibration analysis of double-layer space grids have been putforward based upon the idea of split rigidity. The formulas for calculating internalforces, displacements, critical load and natural frequency have been given out. Set thestable cables and bearing cables in hyperbolic paraboloid cable nets are all replaced bytruss-cable to form truss-cable nets structures. Natural vibration analysis method fortruss-cable nets structures has been put forward using the energy variation method andRayleigh method. The simplified formulas for calculating natural frequency andvibration mode are presented. In order to validate the accuracy of methods presented inthis paper, all the analyses above have been finished also by finite element method.2. Numerical simulation on wind-resistant of single-layer latticed domeWind histories considering time and spatial correlativity has been simulated by autoregressive simulation method. Then the wind-induced vibration analyses for threekinds of latticed dome under horizontal wind loading are finished. And every kind oflatticed dome considers three kinds of rise-span-ratio respectively, which are 1/8, 1/5and 1/4. By summarizing the responses of nodes and elements some valuableconclusions have been obtained. For nine kinds of load cases, the wind inducedvibration coefficients of displacement and internal force of latticed dome arecalculated. And the uniform wind induced vibration coefficient of displacement andinternal force for the whole structure is 2.5. Furthermore, the biggest coefficient andthe smallest coefficient can also be obtained. At last, process for wind-resistant designof latticed shell is suggested.