| Title |
Self-Equilibrium Stress Mode Analysis of Cable Dome Structures by Eigenvalue Analysis |
| Authors |
Jung Mi-Roo ; Lee Jae-Hong |
| Keywords |
Cable Dome Structures ; Self-Equilibrium Stress Mode ; Eigenvalue Analysis ; Form Finding |
| Abstract |
Self-equilibrium stress mode analysis of cable dome structures by eigenvalue analysis is presented, In order to maintain the structures stable, "state of self-equilibrium stress" should be introduced. The types of analytical methods are known to solve this phenomenon: One is to use force density method, and the other is to apply so called, generalized inverse method. In this paper, new form finding method is presented to obtain the self-equilibrium stress of the cable dome structures. This method is based on the equilibrium equation of the all of the joint and the governing equation is formulated as eigenvalue problem. In order to verify this approach, numerical examples(2,3-dimensional cable dome structure, tensegrity, tridimensional octahedral structure) are compared with others calculated by generalized inverse method. The solution by present method is shown identical results. Furthermore, the developed process to find the results is also simpler than previous solution. |