Link adjustment for spatial multi-loop deployable structures considering redundant constraints based on multi-objective discrete optimization

Abstract

Because of the existence of link errors, assembly deviations, and redundant constraints, link adjustments for deployable structures must be implemented during the assembly process to ensure accurate performance and deployable reliability. Thus, this study proposes an optimization method to conduct quantitative link adjustments for spatial multi-loop deployable structures considering redundant constraints. First, the equations of the deformation compatibility are derived based on static analysis. Second, by formulating the objective functions of surface accuracy and strain energy, a multiobjective discrete optimization model of link adjustment, subjected to the equations of the deformation compatibility and adjustable scopes of the support links, is established accordingly. Third, the optimization model is solved using the successive Taguchi approach, which uses the grey relational analysis coupled with principal component analysis as the multicriteria decision-making model, leading to the optimal adjustment for each link. Finally, a numerical example is presented to verify the validity of the proposed method.

An optimum design method for a new deployable mechanism in scissors bridge

“…In the area of optimization design for deployable mechanism, many research works have been conducted. 10–21 Zeng et al. 10 established a parameter optimization model of the bridge expanding device and bridge sections based on the virtual prototyping technology, the optimization design of the device is further carried out by the limit loads of hydraulic cylinders; however, it did not consider the practical situation of the difference between pushing force and pulling force.…”

“…16 made an accuracy analysis of a multi-closed-loop deployable mechanism involving manufacturing error and distortion, Zhao et al. 17 conducted a study on spatial multiloop deployable structures to ensure accurate performance and deployable reliability with multiobjective discrete optimization. With respect to selecting optimization design variables of the deployable structure, Alegria et al.…”