| With the continuous development of the national economic and social science,the research has made a lot of new breakthroughs in the field of space structure,which has led to the rapid development of the deployable structure and promoted the improvement of the overall research level of the deployable structure.The tensegrity structure is a kind of spatial structure system,which is a combination of continuous cables and discontinuous struts.With the characteristics of light quality,beautiful shape and strong plasticity,It has been developed relatively rapidly in recent years.Therefore,the research on tensegrity structure has attracted wide attention from scholars.At present,the tensegrity structure has been widely used in space,medicine and other fields,but it is seldom used in the field of architecture and civil engineering.This thesis intends to analyze the form-finding,the calculation of stiffness matrix,the unfolding process and model making of the tensegrity structure,and based on this,the developable tensegrity structure will be applied to the support in the field of architecture and civil engineering.To sum up,the research contents of this thesis are as follows:Firstly,This thesis summarizes the characteristics of tensegrity structure,and then reviews the research status of the tensegrity structure and developable structure at home and abroad.The force density of Quadrangular prism tensegrity structure unit is solved by using the optimal function in the mathematical analysis software of MATALAB.The expression of the stiffness matrix and stability of tensegrity is derived,and the stiffness matrix and stability of the Quadrangular prism tensegrity structure unit are solved.Secondly,Summarizes the folding principle of the deployable tensegrity structure,including the folding step,the folding method and the folding difficulty.Putting forward two kinds of unfolding process of control method,and then analyze the realization of the control method.Thirdly,Based on the analysis of the folding principle and control method of the deployable tensegrity structure,two folding methods are proposed for the quadrangular prism tensegrity structure support and two control methods for the folding method are given.The two folding processes are simulated using the mathematical analysis software of MATALAB.In addition,the length parameters of the components are optimized,and a simple model of the support is made.Finally,the folding process and the developability of the quadrangular prism tensegrity structure support are analyzed.A group of materials suitable for practical engineering applications are proposed and the structural performance under different prestress conditions are analyzed. |