Form-Finding Of Tensegrity Structures Based On The Force Density Method

Tensegrity structure is a kind of spatial cable-strut structure composed by continuous cables and separated struts.The structure has huge advantages,i.e.,unique shape,lower weight,deployable,leading to extensive attractions by researcher who performed deep investigations to its mechanical behaviors.Therefore,it is widely applied in vast engineering fields.Based on previous studies,this paper is focusing on searching novel geometrical stable tensegrity structures via force density method,at the same time,ensure the structural configuration flexible and keep initial stability under load state.The initial state of the structural force density is obtained by employing the equilibrium matrix theory and matrix singular value decomposition theory based on MATLAB platform.In the theoretical part,this thesis mainly describes the force density method,matrix analysis theory and geometric stability criteria.Cyclic iterative relationship between spectral decomposition of force density matrix and eigenvalue decomposition of equilibrium matrix is established,the initial force density of tensegrities with single self-stress mode and multiple self-stress modes are that efficiently obtained.Meanwhile,four different types of tensegrity structures are created and investigated based on MATLAB platform.The achieved results show that the four tensegrity structures all satisfy the requirements of geometric stability condition,which verifies the feasibility and accuracy of the proposed algorithm.In this paper,the theoretical theory of form-finding process of tensegrity structures is summarized and the framework system for the morphological development of tensegrity structures is improved.The proposed algorithm can effectively solve the problem of the initial configuration of new tensegrity structures.In addition,the four new tensegrity structure models proposed enrich the existing structural forms and provide a theoretical basis for the subsequent design and search for more complex and asymmetric tensegrity structure...