Buckling Analysis And Optimal Design Of Simple Tape Spring In The Novel Space Deployable Structure

The flexible tape spring structure with simple construction and lightweight used in large space deployable structure has a wide application prospect. The main attractions of the hinge are its friction insensitiveness, self-deploy and self-latching without additional power and lock equipment. As a thin-walled, open cylindrical structure, the tape spring tends to buckle before being broken down. And the stability of simple tape spring is directly related to the bearing capacity of all the structure, which also affects the operational stability of the vehicle. As a result, the research on the mechanical properties of buckling and optimal design of simple tape spring has a very great significance and engineering application value.In this paper, the buckling problems of simple tape spring are investigated mainly from the following aspects:(1) The mechanical model of simple tape spring under pure bending is set up according to the elastic thin shell theory. And the buckling process of simple tape spring under pure bending is investigated by analytical and experimental methods. What is more, the finite element model of tape spring is set up based on the finite element software ABAQUS. And the effects of subtended angle of section, overall length of tape spring, thickness and cross section radius of the tape spring on the steady moment and maximum strain energy are investigated and confirmed by experiment results.Therefore, the key influencing parameters are obtained.(2) The finite element model of simple tape spring under axial compression is established. And the buckling process of tape spring under axial compression is investigated by numerical method. In the process, both of the two working condition(simply supported and clamped at both ends) are considered. To analysis the buckling behavior of tape spring under axial compression, not only the Improved Arc-length Scheme is introduced to solve the problem, but also the initial geometrical imperfection is considered in the nonlinear finite element procedure. The effects of thickness, subtended angle, cross section radius and length of tape spring on the buckling bearing capability and post-buckling behavior are studied. In addition, the buckling process of tape spring is experimentally investigated using CSS-1110 electronic tensile testing machine and confirmed by the numerical simulation.(3) Based on the RSM(response surface methodology) method, the optimal model of maximum driving capacity or maximum buckling bearing capacity subjected to maximum stress constraints is established and solved, and the design variables are subtended angle of section, total tape spring length, thickness and cross section radius of the tape spring. The fitting of response surface function with maximum difference minimization method is applied to make the objective equation and constraint equation explicit. Finally, the interior point algorithm is used to solve the nonlinear optimal design problems to get the optimal tape spring structure design scheme. In addition, the optimal approach and its algorithm in the above have been implemented by the development platform of ABAQUS and MATLAB software. The MATLAB and Python assembly lauguage are applied to add new menus and window in the base of MATLAB, and implement the software secondary development of simple tape spring space deployable structure optimization.