Parameterization,Static And Dynamic Performance Analysis And Optimization Design Of Single Layer Hyperbolic Flat Shell

Because of its large interior space and beautiful shape,hyperbolic flat shell is suitable for the stadium and large space structure of the roof.In this paper,by the programming language APDL coming from the finite element software ANSYS established five single-layer hyperbolic flat reticulated shell modeling programs.The static and dynamic performance of the hyperbolic flat reticulated shells under four-point articulated support and the dynamic performance under the hinged support were investigated.A program for the optimization of the reticulated shell structure was written using Fortran language.The details are as follows:(1)According to the structural parameter equation of the hyperbolic flatreticula ted shell,the coordinates of each node are determined,and then the model macro program is established according to the connection way of the five types of reticulated shells.According to the space two point distance formula,combined with the coordinates of the hyperbolic reticulated shell node,the formula of the hyperbolic flat shell is deduced.Based on the parabolic curve integral and the stability constraint of the reticulated shell,the range of the length of the structural bar and the grid was obtained.In the structural design,given a long span,short span,long span vector height,short span vector height,grid number and other macro parameters,which can be introduced by the inequality to ensure that the length of the workpiece on the bar and the number of grid control requirements.That is important for reducing the cycle and cost.(2)The influence of span,vector height and grid number on the staticperformance of the reticulated shell structure was analyzed by applying static load to the five kinds of single-layer hyperbolic flat reticulated shells,considering the structural self-weight.The maximum displacement and the maximum stress were analyzed.The applicable span,grid number and vector height range of various types of reticulated shells was summarized,which was prepared for the dynamic analysis of reticulated shell structure.(3)A two-stage optimization algorithm based on discrete variable sequence is used to optimize the shape of the structure,and the net weight of the reticulated shell is taken as the objective function.The overall strength,stiffness and stability constraints of the structure are analyzed.Through analyzing a large number of examples,the influence of span,vector height and grid number on the total amount of steel consumption is obtained,Which provides reference for economic design(4)The seismic response of three-dimensional lattice and Fubel-type reticulated shells are analyzed respectively.The influence of span,vector height,grid size and section of the bar on the natural frequency and vibration mode of the structure are discussed respectively.At the same time,the vibration characteristics of the three-dimensional lattice reticulated shells under three one-dimensional earthquakes and a three-dimensional earthquake were analyzed by time-history analysis.The influence of parameters such as vector span ratio,mesh number and bearing condition on the maximum displacement of the structure was discussed.The seismic response of single-layer hyperbolic flat reticulated shells is summarized,which has a great influence on engineering practice.Finally,the research on the structure of single-layer hyperbolic flat reticulated shells was summarized and the future research was prospected.