Research On Computational Theory For Slide Cable And Applications In Cable-Strut-Beam-Membrane Structures

The cable-strut-beam-membrane (CSBM) structure is a typical tensile system, the structural stiffness of which absolutely depends on prestress. With the advantage of flexible components arrangement and abundant architectural features, as well as ingenious conception, innovative design and good economic efficiency, this structure system received extensive attention of scholars since the advent. As the cable is the most active part of this structure system, its connections with the other components have made significant development. Whether during the construction or in the using phase, there are cables which can slide freely. And thus nonlinearity is the distinguishing feature of the CSBM structure with the slide cable.Given the advantage of the Finite Particle Method (FPM) in the nonlinear behavior analysis, the computational theory of the FPM for the CSBM structure with the slide cable has been further developed in this dissertation. By theoretical derivation, the slide cable element suitable for FPM has been proposed. Furthermore, it has been served as a fundamental analysis tool for an intensive research to the intial shape, performance and application of the CSBM structure with the slide cable.The FPM is based on vector mechanics, which is different from the traditional methods derived from continuum mechanics and variational principle. The basic principles of the FPM with some primary concepts are briefly introduced, such as point description, path unit description, governing equations, analysis process, etc. The calculation formulas for internal force of the element used in the CSBM structure are deduced. Adjustments of particle force and particle displacement are adopted to deal with the boundary conditions of structures and the special motion restrictions of particles. The stability of the FPM is verified by numerical examples, the foundation for co-analysis of the CSBM structure is established.Based on the FPM, a numerical method for analysis of slide process and equilibrium of continuous cable is proposed, and the analysis process of the numerical method is elaborated. The theory for calculating the internal force of the slide cable is derived. The calculation formulas for the force between the slide cable and contact point are given. And the influence of the contact point size for the internal force of the slide cable is analysed. Moreover, the criteria for the relationship between the contact point and the cable element is setted up on the basis of whether the size of contact point considered.Depending on the formation of the contact point, two types of computational model are built with the friction considered, and the force transfer coefficient for each model is given. According to the number of contact point the slide cable goes through, the calculation formulas for the internal force of the slide cable with only one contact point and with a plurality of contact points are given respectively. Combined with the model experiment, the continuous cable is tensioned with contact point friction considered to investigate the effect of contact point friction on the cable tension result.Taking the advantage of the FPM in the analysis of large deformation, the initial shape analysis method for the CSBM structure with the slide cable is developed. The CSBM structures are divided into three categories due to the structural character, and the basic flow of initial shape analysis for each category is established. The correctness of the method is tested by numerical examples. Meanwhile, the effect of cable slide on the initial shape analysis of the CSBM structure is summarized.Utilizing the slide cable element, the effect of cable slide on structural performance and the application of slide cable in the CSBM structure are discussed in terms of static equilibrium and dynamic process. The internal forces of each slide cable segment are identical, which is beneficial to uniformity of structure internal force under non-uniform distributed loads. Meanwhile, the slide cable can change the force transmitted direction, guide the force flow, and optimize the force distribution. Taking these advantages into account, the possible application of slide cable in the new CSBM structure is explored.Based on the theory and algorithm aforementioned, a computer aided design program for co-analysis of the CSBM structure with slide cable is developed. It integrates the pre-process, the post-process and numerical analysis modules. Moreover, it can display the deformation process as well as analysis results, and provides assistance for the study in this dissertation.Theoretical derivation, numerical examples and experiment analysis demonstrate that the theory presented is feasible and rational. Meanwhile, it improves the theoretical system of the FPM and provides a new method for cable slide analysis and co-analysis of the CSBM structure, which may promote the application of slide cable in practical engineering.