| Title |
A Numerical Analysis Approach for Self-Equilibrium Stress Mode of Cable Dome Structures |
| Authors |
Kim Jae-Yeol ; Kang Joo-Won ; Park Sang-Min |
| Keywords |
Cable Dome ; Self-equilibrium Stress Mode ; Generalized Inverse ; Rank Factorization |
| Abstract |
This paper deals with the method of self-equilibrium stress mode analysis of cable dome structures. From the point of view of analysis, cable dome structure is a kind of unstable truss structure which is stabilized by means of introduction of prestressing. The prestress must be introduced according to a specific proportion among different structural member and it is determined by an analysis called self-equilibrium stress mode analysis. The mathematical equation involved in the self-equilibrium stress mode analysis is a system of linear equations which can be solved numerically by adopting the concept of Moore-Penrose generalized inverse. The calculation of the generalized inverse is carried out by rank factorization method. This method involves a parameter called epsilon which plays a critical role in self-equilibrium stress mode analysis. It is thus of interest to investigate the range of epsilon which produces consistent solution during the analysis of self-equilibrium stress mode. A total of 40 models with different level of complexity in configuration were generated for the purpose of the investigation. The ultimate aim of this dissertation is to investigate the effect of complexity in configuration on the determination of self-equilibrium stress mode of cable dome structures. The range of epsilon for each model is obtained and the parameters of complexity in configuration which significantly affect the process of rank factorization are realized in this paper. |